partial vapor pressures above aqua ammonia

8/3/2019 Partial Vapor Pressures Above Aqua Ammonia

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HI LL IN I SUNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN

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UNIVERSITY OF ILLINOIS BULLETINIsaoun WaiNKr

VoL XXII February 2, 1925 No. 23- Entered as second-class matter December 11, 1912, at the post office at Urbana, Illinois, underthe act of August 24 , 1912. Acceptance for mailing at the special rate of postage providedfor in section 1103, Act of October 3, 1917, authorized July 31, 1918]

THE TOTAL AND PARTIAL VAPORPRESSURES OF AQUEOUS

AMMONIA SOLUTIONS

BYTHOMAS A. WILSON

BULLETIN No. 146ENGINEERING EXPERIMENT STATION

PvauaaMaT a tTxraaanmr or ILuwouB UawNA1ParsCTwxwr-vW'Buma


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HE Engineering Experiment Station was established by act ofthe Board of Trustees of the University of Illinois on Decem-ber 8, 1903. It is the purpose of the Station to conduct inves-

tigations and make studies of importance to the engineering,manufacturing, railway, mining, and other industrial interests of theState.

The management of the Engineering Experiment Station is vestedin an Executive Staff composed of the Director and his Assistant, theHeads of the several Departments in the College of Engineering, andthe Professor of Industrial Chemistry. This Staff is responsible forthe establishment of general policies governing the work of the Station,including the approval of material for publication. All members ofthe teaching staff of the College are encouraged to engage in scientificresearch, either directly or in cooperation with the Research Corpscomposed of full-time research assistants, research graduate assistants,and special investigators.

To render the results of its scientific investigations available tothe public, the Engineering Experiment Station publishes and distrib-utes a series of bulletins. Occasionally it publishes circulars of timelyinterest, presenting information of importance, compiled from varioussources which may not readily be accessible to the clientele of theStation.

The volume and number at the top of the front cover page aremerely arbitrary numbers and refer to the general publications of theUniversity. Either above the title or below the -seal is given thenumber of the Engineering Experiment Station bulletin or circularwhich should be used in referring to these publications.

For copies of bulletins or circulars or for other informationaddress

TH' ENGINmEMG EXPEIMWmf STATON,U rNarryo Io.un roz,

URBANA, ILIuNOIe.


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UNIVERSITY OF ILLINOISENGINEERING EXPERIMENT STATION

BULLETIN No. 146 FEBRUARY, 1925

THE TOTAL AND PARTIAL VAPORPRESSURES OF AQUEOUSAMMONIA SOLUTIONS

BY

THOMAS A. WILSONASSISTANT IN THE

ENGINEERING EXPERIMENT STATION

ENGINEERING EXPERIMENT STATIONPUBLISHED BY THE UNIVERSITY OF ILLINOIS, URBANA


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CONTENTSI. INTRODUCTION . . . . . . . . . . . . .

1. Action of the Absorption Ammonia RefrigeratingM achine . . . . . . . . . . . .

2. Previous Investigations . . . . . . . . .3. Accuracy of Measurements . . . . . . .4. Acknowledgments . . .

II. TOTAL PRESSURES . . . . . .5. Method and Apparatus . .6. Results . . . . .7. Equation . . . . . .

III. PARTIAL PRESSURES . . . . .8. Method and Apparatus . .9. Results . . . . .

10 . Equation . . . . . .IV. APPLICATION TO AMMONIA ABSORPTION PROCESS

11 . Problem . . . . . . .12 . Solution of Problem . . . . . . .13 . Performance . . . . . . . . .14. Effect of Water Content . . . . .15 . Operating Conditions . . . . . .

V. SUMMARY . . . . .16. Summary . . .APPENDIX I . . . . . .

Tables 6 to 11 . . .

1011111518

. 222225. 29

. . . 29

. . . 29

. . . 30

. . . 32

. . . 32

. . . 33

. 36. 36S. . . . 37. . . . 38-47


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LIST OF FIGURESNO. PAGE

1. Test Apparatus for Determining Total Pressures . . . . . . . 122. Method of Transferring Aqueous Solutions of Ammonia to Bulb . . . 143. Comparison of Experimental Values of Total Pressures on p-t Cobrdinates 194. Variation of Constant Temperature Lines on p-x Codrdinates. . . . 205. Values of /T for Various Molal Concentrations . . . . . . . 216. Test Apparatus for Determining Partial Pressures . . . . . . . 237. Comparison of Raoult's Law with Experimental Values of Partial

Pressures . . . . .. .. . . . . . . . . - 288. P, T, X, Relations of Aqueous Solutions of Ammonia and of Water Vapor

above these Solutions . . . . .. . . . ...... . 48


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LIST OF TABLESNO. PAGE

1. Experimental Data. Total Pressures . . . . . . . . . . 15-162. Comparative Values of 0/T . . . . . . . . . . . . . 213. Experimental Data. Partial Pressures . . . . . . . . . 26-274. Table of Performance for Absorption Refrigerating Machine . . .. 335. Comparative Performance for Different Conditions of Operation . . 356. Total Vapor Pressures of Aqua Ammonia . .. . . . . .. 38-397. Conversion Factors . . . . . . . . . . . . 408. Partial Pressures of Water Vapor above Aqua Ammonia . . . . 41-429. Partial Pressures of Ammonia above Aqua Ammonia . . . . . 43-4410. Mol Per Cent Aqueous Concentration of Ammonia-Water Vapors . . 45-4611. - Values of /T . . . . . . .. . . . . ...... . 47


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THE TOTAL AND PARTIAL VAPOR PRESSURESOF AQUEOUS AMMONIA SOLUTIONSI. INTRODUCTION

1. Action of the Absorption Ammonia Refrigerating Machine.-In the generator the aqueous ammonia solution, usually of about 30per cent molal concentration, is heated by steam to the boiling pointunder the generator pressure, causing the formation of a vapor offairly high water content unsuitable for use as a refrigerating medium.In its subsequent passage through the dehydrator or rectifier thetemperature of the vapor is reduced at constant pressure. This causesthe condensation of a part of the contained water together withenough of the ammonia itself to form a solution in equilibrium withthe partially dehydrated vapor. The vapor is liquefied in the con-denser preparatory to its passage through the reducing or so-calledexpansion valve, where the liquid ammonia boils. The resultingammonia vapor then passes into the absorber.

After its passage through the expansion valve the vapor suffersa reduction in pressure to a value determined by the temperatureand concentration of the solution present in the absorber. Vaporiza-tion occurs at this reduced pressure usually by absorbing heat frombrine in a brine cooler, with consequent fall of temperature, untilequilibrium conditions are attained. Throughout the brine coolerthe condition is one of a solution in equilibrium with its vapor untilboth are conducted into the absorber, which contains a weakerammonia solution at a temperature considerably below that existingin the generator. Under these conditions vigorous absorption ofthe incoming ammonia vapors takes place, with resulting increasein the concentration. This more concentrated solution is pumped intothe generator through an exchanger, where the hot solution comingfrom the generator is made to give up part of its heat to the coldsolution from the absorber.

From these considerations it is evident that a number of equilibria,both of pressures and temperatures, are encountered. In the case ofammonia solutions knowledge of total pressures alone is not sufficient,owing to the fact that a third variable, the concentration, is in-troduced; and the composition of the vapor in equilibrium witha solution of given concentration is itself a function of that con-centration, instead of being a phase of constant composition as it isin the case of pure substances, or in the case of a solution formedbetween constituents only one of which is volatile.

7


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ILLINOIS ENGINEERING EXPERIMENT STATION

Complete understanding of the operation of the absorptionammonia refrigerating machine thus necessitates a knowledge ofthe following three quantities:

(1) The total vapor pressures of aqueous ammoniasolutions over the whole range of temperature and concentrationcovered in the machine.

(2) The partial vapor pressures exerted by the separateconstituents in the vapors above aqua ammonia inside of thissame range.

(3) The heats of solution of various aqua ammoniavapors in aqua ammonia of various concentrations at the differenttemperatures.

The determination and calculation of the total and partial vaporpressures of aqueous ammonia solutions and their application to theabsorption ammonia process are the subjects which are dealt within this discussion.

2. Previous Investigations.-Although the thermodynamic prop-erties of pure ammonia itself have been very accurately determinedexperimentally, the corresponding properties of aqueous ammoniasolutions have received relatively little attention. The vapor pressuresform no exception to this statement. In the list of experimenterswith these ammonia solutions who worked during the nineteenthcentury must be placed the names of Carius, Roscoe and Dittmar,Sims, Raoult, and Mallet. Konowalow* did some work whichwas limited, however, to the boiling points of aqua ammonia atatmospheric pressure; and while his results, like those of the otherinvestigators mentioned, are probably accurate, their limited range,necessitated by the low pressures employed, reduces their practicalimportance very greatly for the purposes of the engineer.

The systematic collection of experimental data upon which cal-culations might be based really was started by Perman,t who, inan apparatus consisting of a differential manometer containing thesolution in one arm, determined a number of points from whichcould be calculated the desired vapor pressure of any solution ofless than 22.5 per cent weight concentration below a temperature of60 deg. C. and above that of melting ice. From these points his

* Carius, Lieb. Ann., 99, p. 129, 1856.Roscoe and Dittmar, Lieb. Ann., 112, p. 326, 1859.Sims, Lieb. Ann., 118, pp. 278, 333, 1861.Raoult, Ann. Chim. Phys., 1, p. 262, 1874.Mallet, Am. Chem. Jour., 19, p. 804, 1897.Konowalow, Ber. deut. chemn. Ges., 17, p. 1531, 1884.

t Perman, Jour. Chem. Soc., 79, p. 718, 1901; 83, p. 1168, 1903


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* VAPOR PRESSURES OF AQUEOUS AMMONIA SOLUTIONS

experimental "isothens' '* were drawn on a fairly large scale, andgraphically interpolated vapor pressure values were thus obtained.

This work was greatly amplified and extended seven years laterby Molliert with apparatus especially designed for higher pressures.As a result of her determinations, made on five different concentra-tions of aqueous ammonia at temperatures ranging as high as 120 deg.C. (248 deg. F.) in the case of the dilute concentrations and atpressures up to 7000 mm. of mercury (9.2 atmospheres), tables couldbe computed covering the vapor pressure data for all solutions below50 per cent concentration.$

The field of partial pressures, probably because of the experimentaldifficulties involved, is one which has been invaded even less thanthat of total pressures. Until very recently the work of Permanhas been the only source of information regarding these partialpressures, and his work was of little value to the engineer becauseof the small pressure range covered. His method was essentiallythat employed by Shaw some years previous in the determinationof the vapor pressure of water at various temperatures by bubblingair through it and measuring the amount of vapor conducted awayby the air current. Perman's modification consisted in absorbingthe vapors evolved from the aqueous ammonia solutions in a suitablemedium, employing for this purpose dilute sulphuric acid. Escapeof water from the dilute sulphuric acid was prevented by a tube ofcalcium chloride. The relative amounts of water and ammoniacollected were determined from the gain in weight of the absorptionvessel, and from the titration value of the sample against standardalkali.

This method is practically limited to those solutions which donot exert a total vapor pressure above one atmosphere, since extensivemodifications in the apparatus would otherwise be necessary. Toogreat a pressure gradient must be avoided or uneven flow will result,introducing disturbing factors of uncertain magnitude. Varioustechnical difficulties encountered in trial runs convinced the authorthat the limit of usefulness of this method had been reached.

A very ingenious method of partial pressure measurement hasbeen devised and used by Neuhausen and Patrick** in dealing withthe aqueous ammonia system. The apparatus consists of a differ-ential manometer of special shape, intended to increase its sensitive-

* Perman devised the name "isothen" to be applied to lines of constant composition inthe case of solutions. It will be used in this sense throughout the bulletin.

t Mollier, Zeit. d. Ver. deut. Ing., 52, p. 1315, 1908.$ Macintire, "Mechanical Refrigeration," Wiley and Sons, New York. p. 118 if., 1914.I Perman, Proc. Roy. Soc., London, 72, p. 72, 1904. Jour. Chem. Soc., 83, p. 1168,

1903. Shaw, Phil. Trans., 179, App. III, p. 41, 1886.

** Neuhausen and Patrick, Jour. Phys. Chem., 25, p. 693, 1921.


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ness, in series with a compound manometer capable of measuringas high a pressure as will be encountered. To one of the arms of thedifferential manometer is connected a water vapor injector. Dryammonia is conducted through the system until both arms of thedifferential manometer are filled with the gas at the pressure shownby the compound manometer. No pressure difference is shown bythe differential manometer. A little water vapor is pumped intoone arm, and the increase in pressure in that arm is noted. Thisoperation is repeated until a marked drop in pressure in that armof the manometer is apparent, showing that the saturation point ofthe vapor has been reached and that condensation has ensued. Theaverage of these last two readings is then considered a measure ofthe partial pressure of the water vapor. This procedure is subjectto criticism. Experiments show that the rate of change of thepressure-concentration coefficient is particularly high at higher pres-sures, such as this apparatus is designed to measure. Hence bothof these experimental values are considerably below the true partialpressure value, a statement especially true of the second reading,obtained after previous condensation. An average of these resultsdoes not furnish an accurate value for the partial pressure but onewhich is too low. This conclusion has been confirmed by the resultsobtained in this laboratory by the use of a dynamic method withthe procedure modified, as described later, to eliminate certain faultsconsidered inherent in this method. The results were consistentlyhigher than those obtained by Neuhausen and Patrick.

3. Accuracy of Measurements.*-In carrying out the measure-ments on the total and partial vapor pressures of ammonia solutionsthe temperature was regulated to within one-tenth of a degree. Thisrepresented, therefore, an approximate relative error of 0.03 percent. This degree of accuracy seemed sufficient in view of the rateof change of vapor pressures with the temperature. By way of illus-tration one may consider an extreme case such as the total vaporpressure of 0.9 mol fraction solutions of ammonia at 60 deg. C. and70 deg. C. These values were found to be 1801 cm. and 2294 cm.respectively. The difference between the total vapor pressures atthese two temperatures was therefore 493 cm. or 4.93 cm. per 0.1deg. This corresponded in turn to a relative error of approximately0.2 per cent-considerably larger than that for the temperaturemeasurements. The manometer measurements were also well withinthe relative limit of error over the entire range of pressures.

4. Acknowledgments.-The problem was originally suggested toDr. G. DIETRICHSON of the Department of Chemistry of the University

* This statement was furnished by Dr. Gerhard Dietrichson of the Department ofChemistry, University of Illinois.


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VAPOR PRESSURES OF AQUEOUS AMMONIA SOLUTIONS

of Illinois by Professor G. A. GOODENOUGH in conjunction with Pro-fessor H. J. MACINTIRE, both of the Department of Mechanical En-gineering. The experimental work with regard to the determinationof the total and partial pressures was carried out in the Laboratoryof Physical Chemistry of the University of Illinois under the imme-diate direction of Dr. Dietrichson. This material was accepted inconnection with the thesis for the degree of Doctor of Philosophy inPhysical Chemistry awarded the author. An acknowledgment isdue Dr. Dietrichson for the design of the apparatus used and thetechnique followed in the experiments. The work in connection withthe development of the equation and the application to the absorptionprocess of mechanical refrigeration was done by the author at a laterdate under the immediate direction of Professor Macintire. Acknowl-edgment is also due Professor Goodenough for valuable assistancegiven in obtaining a suitable form for the equation for total pressures.

II. TOTAL PRESSURES5. Method and Apparatus.-The experimental method followed

in this work was the usual balancing of the pressure exerted by thevapor above the liquid phase by means of a mercury column. Severalpoints regarding the apparatus used and the procedure followed willbe discussed.

The principle of the compound open mercury manometer isfamiliar.* The model used for this investigation is shown at A, inFig. 1. Each single manometer was of such a height that itspressure limit was two atmospheres: Water was used to transmitthe pressure from the top of one mercury column to the bottom ofthe next. The amount of water was controlled by the reservoirfunnel and stopcock on each top bend of the tube.

Six of these simple manometers were joined together, making itpossible to read pressures up to 12 atmospheres. The first manometerwas arranged with one arm only slightly longer than barometricheight as shown at C, thus enabling observations to be made in thosecases in which sub-atmospheric pressures were encountered. Pres-sure readings were made with a double-telescope cathetometer providedwith an invar scale, graduated in 0.02 mm., and adjusted at thebeginning of each day to absolute agreement in telescope readings.

The aqueous ammonia solution under investigation was containedin the bulb B, of approximately 20 cc . capacity. For lower temper-ature readings this bulb was surrounded by a battery jar containingfinely crushed ice; readings at all other temperatures were madewith the bulb immersed in the water of a small constant temperature

* See Bureau of Standards Scientific Paper No. 369, 1920.


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bath as shown. A Dewar flask formed the container. Inside of this flaskwas a beating coil of chromel wire D, a high speed propeller stirrer(not shown) for eliminating internal temperature gradients, anda thermometer E, for reading the temperature of the bath. This ther-

FIG. 1. TEST APPARATUS FOR DETERMINING TOTAL PRESSURES

mometer was calibrated at the Bureau of Standards. A lamp-bank Goffered a very efficient method of controlling the bath temperature.The vapor in the bulb B was kept superheated by means of thechromel wire at N, and by control of this superheat (from the ther-mometer F) condensation of the gas was prevented.A difficulty encountered in vapor pressure measurements on solu-tions containing one constituent of such high volatility as ammonia, isthe rapid variation of the composition of the liquid phase under


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different conditions of temperature, pressure, and volumle of the vapolphase. Inasmuch as the bulb was always filled to the same depth withsolution and the mercury meniscus was always maintained in the windowN, the volume of the vapor phase in this apparatus was a constantquantity, 0.452 cc., as shown by previous determinations. Using thevalues given by Baud and Gay* for the density of aqueous ammoniasolutions, a simple calculation shows that the change produced inthe composition of a 30 per cent ammonia solution due to fractionaldistillation of the ammonia into this space at a pressure of 12 atmos-pheres (assuming water to be absolutely non-volatile in this calcula-tion) would be somewhat less than 0.003 per cent. This result mustbe materially decreased in the actual laboratory experiment, however,owing to the fact that the vapor space must be kept at a much highertemperature than the solution, in order to avoid progressive distilla-tion into the colder part of the apparatus.

Solutions in which the ammonia was present below 45 per centmolal concentrationt were prepared by bubbling ammonia from theammonia supply drum through a fine tip into water of dilute aqueousaminonia, well cooled in a suitable freezing mixture. A markedincrease in volume occurred during this process, furnishing someindication of the increase in concentration which had taken place.The solution thus prepared was poured into the solution bulb B(Fig. 2) which was suspended, as shown, beneath the manometerbulb A, still surrounded by its cooling bath. Suction at M causedboiling of the ammonia solution, and after a sufficient time intervalin order to allow of all inert gases being swept out, M was shut offat the stopcock, and the bulb B raised to the position shown in Fig.2b. Cautious application of the heat of the hand to B while A wasmaintained at the temperature of the bath caused a slow flow of aqua

* Baud and Gay, Compt. Rend., 148, p. 1327, 1909.t In the following work and calculations, molal concentrations are employed throughout.

Due to the fact that the molecular weights of ammonia and water are so nearly alike(ammonia - 17, water =18) it is a very simple matter to convert from one to the otherin the following manner:

Let y be the weight of water present in a solution of the two substances, and let z bethe weight of ammonia. Then the weight concentration of the solution is evidently

1 /17 z y zand its molal concentration is 1 /18 y 4- 1 /17 zAssuming that there is a constant relationship between the two, we may write:

z z-- = k - , orS4- z 0.944 y 4 z0.944 y 4-z

Y -t- zValues of k, calculated from this formula, are given in Table 7 for converting the solu-

tions of even 5 per cent weight concentrations to the corresponding molal concentrations.


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ammonia from B to A, which was interrupted at the proper momentby the stopcocks. The bulbs were disconnected; B was set asideuntil the analysis of its contents could be conveniently performed;A was immersed in an ice bath, and the freezing-point pressurereading was made.

FIG. 2. METHOD OF TRANSFERRING AQUEOUS SOLUTIONS OF AMIMONIA TO BULB

An aqueous ammonia solution more concentrated than 45 percent molal was prepared directly in the bulb B from the dilute con-centration. A gauge and safety trap were connected to the bottomof B (Fig. 2a) and ammonia was passed through the train at atmos-pheric pressure until complete collapse of the bubbles formed underwater from an outlet tube attached at M indicated the absence of inertgases. M was then closed as before and the stream of ammonia waspassed into B (kept cooled in an ice bath) until a certain desiredpressure was reached in B, as shown by the compound manometer.The flow into B was interrupted at the bottom stopcock and thepressure in the line released by opening a stopcock leading to thehood. The method of transference of the aqueous ammonia solutionto the bulb A (Fig. 2) was the same as that employed previously.At the end of this operation a tip was attached to C (Fig. 2b), and

-h-


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the contents were allowed to blow over into a previously weighedflask containing a distinct excess of ice water. After B had beenemptied the gain in weight of the flask was noted.Analyses of ammonia solutions were made by determining theweight of the sample, titrating for ammonia, and determining theweight of the water present by difference.

6. Results.-Pressure readings were taken on ten different con-centrations of ammonia solutions. These readings, corrected to 32deg. F., are shown in Table 1 in which the temperatures are givenin the centigrade system and the pressures in millimeters of mercury.Each value recorded in the table represents the mean of three labora-tory determinations made at five-minute intervals.

TABLE 1EXPERIMENTAL DATA. TOTAL PRESSURES

I I TDeg. C. Deg. C. mm. Deg. C.

Concentration: 12.1 per cent Molal

273.1283.3293.0303.1313.4323.1333.1343.1354.1364.1

273.1284.1293.1303.2313.0323.1333.2344.1353.1363.8

15.4545.9089.40159.76268.28409.47622.43889.481280.401777.00

195.50204.90212.52220.33229.0S235.35242.27250.69259.04


100.82192.17310.61500.80749.621094.781553.602156.102844.003870.00O

205.24215.68223.90231.44239.72247.92254.16262.39269.39278.24

0.6900.6980.7030.7040.7100.7070.7070.7080.709

0.7510.7590.7640.7640.7650.7660.7640.7630.7630.765

0.707

0.7655


177.94521.831045.312074.943979.98

217.89232.59246.90261.33278.23

0.0022.3139.7959.5780.78

273.10295.41312.89332.67353.88

0.7900.7870.7880.787 *0.788

0.790


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TABLE 1 (CONTINUED)EXPERIMENTAL DATA. TOTAL PRESSURES

D

12468

246

123

12

23

284.1 4016.4296.2 6042.3303.6 8756.8

t 7' peg. C. Deg. C. mm.1

Concentration:

0.00 273.10 581.770.37 283.47 881.650.09 293.19 1289.200.60 313.70 2583.301.24 334.34 4811.000.30 353.40 7966.30

Concentration:

0.0 273.1 1007.6.4.2 297.5 2569.50.1 313.2 4278.01.2 334.3 7895.4

Concentration:

0.0 273.1 1361.81.6 284.7 2193.2i3.8 296.9 3611.41.0 304.1 4999.7

Concentration:

0.0 273.1 1854.40.3 283.4 2712.51.4 294.5 4035.01.1 314.2 7607.3

Concentration:

0.0 273.1 2117.72.7 285.8 3348.64.6 297.7 2974.09.5 312.6 8037.9

Concentration:

0.0 273.1 2703.2

Deg. C.

41.0 per cent Molal

234.65242.45250.37267.87284.34299.98

50.7 per cent Mold

245.68268.00280.94299.69

57.4 per cent Molal

251.63263.23276.11285.46

64.2 per cent Molal

259.17268.58279.28298.47

70.4 per cent Molal

262.37274.15285.30300.28

83.5 per cent Molal

268.50279.15291.18303.13

Exp.

0.8570.8560.8540.8540.8560.854

0.8990,9010.8970.897

0.9270.9270.9300.930

0.9490.9470.9490.949

0.9610.9610.9590.961

0.9830. 9840.9840.983

Calc.

0.855

0.902

0.928

0.919

0.9635

0.982


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At no time during the whole investigation was there apparentany tendency towards separation of the ammonia-water system intodistinct layers. Although the experimental range actually coveredin the laboratory was between the freezing point and the boilingpoint of water, there were frequent occasions, especially during thepreparation of the aqueous ammonia solution at the middle of theconcentration range, during which the temperature of these solutionswas lowered to - 10 deg. C. (14 deg. F.). Should there be a criticaltemperature of solubility for the ammonia-water system, it mustbe lower than this.

The temperatures, T,* recorded in the second column are thosecorresponding to the first column on the absolute centigrade scale.The temperatures recorded in the fourth column, O,* represent thetemperatures on the absolute centigrade scale of saturated ammoniavapor, the pressure of which is identical with that of the solutionat the temperature in question. These temperatures were calculatedfrom the values furnished by the Bureau of Standards. The fifthcolumn contains the values of 0/T corresponding to the experimentalpressures.

Formulation of an equation expressing a relation between theproperties of a solution over a wide range presents a difficult problem,owing to the fact that three variables are present, any two of whichmay be regarded as independent. The best method of procedure insuch a case seems to be the combination of two of the variables intoa single quantity which may then be treated as an independentquantity itself. In the present instance the two quantities thus com-bined are the pressure and the temperature, since, by calculatingthe temperature of saturated ammonia vapor possessing an undeter-mined pressure, this unknown quantity is then uniquely determinedat once, as would be the case with any pure substance. The term 0/Twill henceforth be called the quotient. Its value obviously equalsunity for anhydrous ammonia; its value calculated for a numberof pressures of saturated water vaport is 0.6355.

Another advantage in employing this quotient is that in thecase of a pure substance like ammonia, the pressures of which havebeen determined both in the metric system and the English engineer-ing system of units, corresponding values for its solutions may hecalculated in either system without the necessary use of conversionfactors. It is obvious that the quotient does not depend on the unitof measure employed in expressing its components.

*T = absolute temperature deg. C. of ammonia solution.0= absolute temperature deg. C. of saturated ammonia vapor at same pressure as ex-

erted on ammonia solution.tGoodenough, "Properties of Steam and Ammonia," Wiley and Sons, New York, 1917.


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The shape of the modified isothens plotted from the experimentaldata is shown in Fig. 3, representing the log p, 1/T plane. Forthe most part the isothens are lines of very slight curvature, but theisothens for dilute concentration show appreciable bending at thelow temperatures in a direction concave to the abscissa. Furthermore.,the rate of change of the vapor pressure-concentration coefficient isby no means simple, but it increases slowly at first, then more rapidly,and finally falls off again as the concentration approaches a highvalue. This behavior is clearly shown in Fig. 4. Both phenomenacan probably be attributed to the apparent attraction existing betweenthe two substances, which of course is much more noticeable in thoseconcentrations in which the ammonia is present to only a small extentand is rapidly diminished as more is absorbed and as its escapingtendency is increased.

7. Equation.-In the deduction of an equation for the pressureof the vapor it is convenient to start with the relation between 0,the temperature of saturated ammonia vapor, and T, the temperatureof saturated water vapor, when both have the same pressure. Accord-ing to Mosher* this relation is - = 1.70356 - 0.0004036 T with

temperatures on the centigrade scale. This is the relation for x = 0.For x = 1. - = 1; hence the equation must have such a form asto reduce to these expressions at the limits x = 0, x = 1. Theform

-= 1 0.70356 (1 - xz) - F (x, T)is immediately suggested. The last term F (x, T) is a small correctionterm that may be introduced to give the variation of the quotient/T with the temperature. Since this variation appears only at lowtemperatures and small concentrations, and is extremely small in allcases, it is neglected, and the term F (x, T) is taken as zero. Theequation for the quotient then becomes

0 1T 1 + 0.70356 (1 - xz) . . . . .(1)

The exponent z is a function of x, the mol fraction of ammonia in thesolution, expressed by the equation

z /x + 0.05 (1.347 - 2.9x + 1.77x 2) . . . (2)* "The Properties of Saturated and Superheated Ammonia Vapor," Univ. of Ill. Eng.

Exp. Sta. Bul. No. 66, p. 54.


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VAPOR PRESSURES OF AQUEOUS AMMONIA SOLUTIONS 19

FIG. 3. COMPARISON OF EXPERIMENTAL VALUES OF TOTAL PRESSURESON P-T COORDINATES

3000009OO020000a

50004 0003000


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VAPOR PRESSITRES OF AQUEOUS AMMONIA SOLUTIONS

The values of )/7T calculated from the equation are given in thesixth column of Table 1. The agreement between experimental andcalculated values is satisfactory. Table 2 gives a comparison of the

TABLE 2COMPARATIVE VALUE OF 0 IT

Comparisonby Weight

11.8023.3933.7341.5550.36

MolalComposition

12.3124.4435.0042.9551.85

0/TMollier

0.71150.76500.81300.85200.8920

@/TEquation 1

0.70740.76600.82300.86500.9070

values calculated from this formula with thoselinear equation of Mollier, namely,

calculated from the

Ax + B

The form of the curve of the quotients calculated by Equation(1) is shown in Fig. 5, in which concentrations are plotted as abscissas./000

0900

,0800

0700

0600

/n),/ 2/2 - IIu lu W J 4O ous ou u Cu IIo/Q/ Cor-ce'/ra//o10 /n' Per Ce,/7FIG. 5. VALUES OF (.)/T FOR VARIOUS MOLAL CONCENTRATIONS

/Co

The previous work of Mollier makes it certain that for any particularconcentration the value of the quotient is a constant below 250 deg.F., and it is upon this basis that Table 6 in the Appendix, represent-ing the total vapor pressures of aqueous ammonia solutions, has been

I

0../25


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calculated. The columns (in Table 6) represent the isothens; therows, the isotherms. The former are given for every even 5 per centconcentration, the latter for every even 10 deg. F., over the wholerange for which results could be calculated, relying upon the chartof the Bureau of Standards. For the vapor pressures below the rangecovered by the Bureau in its work on ammnonia, recourse was had toa comparison between the vapor pressures of the solution and thoseof water at identical temperatures.

III. PARTIAL PRESSURES8. Method and Apparatus.-It is unfortunate that accuratemeasurements of partial pressures are so difficult to obtain, in view

of the thermodynamic usefulness of these quantities. Although thefirst recorded attempt at partial pressure measurement is creditedto Liebig* and numerous such attempts of more or less value havebeen made since, no systematic study tending toward improvementof methods has been undertaken until recent years. Carveth,Wrewsky, Rosanoff, Lamb, and Breithut, and Rosanoff, Bacon, andWhite have improved the original dynamic method somewhat; andSchmidt and Neuhausen and Patrickt have worked with the staticmethod. But all of these methods, except the last, are highly un-suitable for work at pressures varying greatly from one atmosphere.The same remark applies to the possibility of modifying the variousapparatus so that they might be applied to the measurement of thepartial pressure of so volatile a constituent as ammonia, except inthe most dilute concentrations.

The particular difficulty peculiar to this system is the chemicalsimilarity of its constituents. The work of Franklint has shownthat there is a series of compounds and reactions realized in ammoniasolutions entirely analogous to those found in aqueous solutions.Hence, water and ammonia can only be separated with difficultyfor quantitative determination, and recourse is had to practically theonly property in which the two show any great difference, i.e., theiralkalinity. Here again the system offers another difficulty, since inany of the aqueous ammonia vapors except those corresponding to

* Liebig, Ann. Chim. Phys. (1). 49, p. 184, 1804.t Carveth, Jour. Phys. Chem., 3, p. 193, 1899.

Wrewsky, Zeit. physik. Chem., 81, p. 1, 1913.Rosanoff, Lamb, and Breithut, Jour. Am. Chem. Soc., 31, p. 448, 1909.Rosanoff, Bacon, and White, Jour. Am. Chem. Soc., 36, p. 1803, 1914.Schmidt, Zeit. physik. Chem., 99, p. 71, 1921.Neuhausen and Patrick, Jour. Chem., 25, p. 693. 1921,

t Franklin, numerous papers published in conjunction with various co-authors in theAm. Chem. Jour. and the Jour. Am. Chem. Soc., p. 1897 if.


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VAPOR PRESSURES O0' AQUEOUS AMMONIA SOLUTIONS

the most dilute solutions the constituent which is determined directlyis the one present in overwhelming excess, leaving the one presentin minute quantity to be determined by difference-obviously a veryunsatisfactory state of affairs.

Previous work of Johnson, Marden, Elliott, Dover, and Blum*led the author to try dehydrated alumina as a desiccant in thepresence of ammonia. It was found that this substance gave verysatisfactory results, and by its use most of the experimental resultsin this part of the work have been obtained.

Fl(. 6. TEST APPARATUS FOB DETERMINING PARTIAL PRESSURES

The apparatus used at first is shown in Fig. 6. The ammoniasolution was contained in the bulb A, immersed in the constant tem-perature bath B. This bath was a much more complicated one thanwas used in the total pressure work, since a constant temperaturewas required for a long period of time. F was a three-way stopcock,by means of which the vapors could be directed either into the openair or into the absorption bulb D. Connection to the compoundmanometer could be made at will through the stopcock G. The absorp-tion bull) was partially filled with a known volume of standardsulphuric acid and weighed. Attachment to the main apparatus was

* Johnson, Jour. Am. Chem. Soc., 34, p. 911, 1912.Marden and Elliott, Jour. Ind. Eng. Chem., 7, p. 320, 1915, also Dover and Marden.

Jour. Am. Chem. Soc., 39, p. 1609, 1917.Blum, B. S. Sci. Paper No. 286, 1916.


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effected by the dry ground glass joint E. The vapors were allowedto bubble through the acid. A drop of indicator (added before thebulb and its contents were weighed) warned of the approach of theneutral point. Calcium chloride granules in the side tube preventedthe escape of any moisture freed by the heat generated in the neutral-ization, and a protective dryer tube attached at K prevented theentrance of atmospheric moisture. When the indicator gave noticeof the approach of the neutral point the vapor current was inter-rupted, the absorption bulb disconnected at E and K, stoppered, setaside to cool, and weighed. Ammonia was determined as beforeby titration and water by difference.

Schmidt has listed certain objections to the dynamic method,elimination of which has been accomplished as far as possible bycertain methods of construction and operation. All exposed partswere heated so as to prevent condensation. Local overheating wasprevented by the agitation occasioned by a constant stream of smallbubbles due to the expansion of the vapor in C during the reductionof pressure incidental to the collection of a sample. Overheatingor undercooling of the vapor was reduced by slow passage of thesample through the tip H. The possibility of a boiling action oc-curring at an unknown pressure does not appear to be importantin the present apparatus. The possibility of a change in the composi-tion of the liquid phase during boiling is, however, a serious objectionto the dynamic method. The error from this source may be reducedby the method adopted. The composition of the aqueous solutionin A can be determined at any instant by a measurement of its vaporpressure. During the collection of the sample, as well as at the startand the finish of a test, reading of the pressure was made. A recordwas thus obtained of the change in composition of the liquid phaseduring the progress of the test; from this a true composition averagecould be calculated. Another method sometimes employed to find thecomposition of the original vapor was the plotting of a number of pointsusing vapor compositions as ordinates and weights of samples col-lected as abscissas, and the extrapolating of the curve through thesepoints to its intersection with the zero axis. The two methodsyielded practically identical results, but the former had the advantageof being far less tedious.

With the method of complete absorption of the vapor in sulphuricacid, the partial pressures of the constituents in those vapors con-taining above 2 per cent mol fraction of water vapor could be deter-mined satisfactorily.* Having determined the partial pressures of

* In the case of those solutions of sub-atmospheric vapor pressure, a gentle suction wasapplied through the protective drying tube attached to K to maintain the necessary pressuregradient. The ground glass joint at E, which was used without any grease, was replacedby a rubber connection, thus preventing the entrance of any atmospheric moisture.


29/60


30/60


TABLE 3EXPERIMENTAL DATA. PARTIAL PRESSURES

Method Vapor Phase

Aqueous Partial PressureConcentrationWaterMolal

per centExperimental Calculated byIlaoult's LawS= X 20 P p= (1-XNH 3 )P 1 2 0 *

mm. of mercury

Temperature: 0 deg. Centigrade H20 =4.587

0.02490.05870.08810.20011.1681.4202.58018.400

Temperature: 20 deg. Centigrade fPI 2O =17.520

0.08730.12630.16600.2300.2260.7001.3501.8822.2605.5309.350

10.0211.2011.9011.8013.3014.10

Temperature: 40 deg. Centigrade PH 2 0 =55.281

8593.07293.06474.05191.02000.01353.01337.01116.0708.4224.3

0.15840.2380.3030.4471.602.712.843.415.8421.50

14.5418.5721.0124.7635.1638.1238.2539.5242.5149.013

*Values for vapor pressure of pure water from Goodenough's "Properties of Steam and Ammonia.

Solution Phase

TotalVaporPressure

Pmm . ofmercury

AverageConcen-trationAmmoniaMolal

per centXNHy3

85.070.265.0153.332.130.525. 410(.

2764.02114.01818.01203.3257.3219.8128.3

20 75

5365.04140.03665.03128.02980.01431.1832.4632.6522.1240.6151.0

73.7066.4062.0055.2036.4031.0530.8028.5023.1011.27


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TABLE 3 (CONTINUED)EXPERIMENTAL DATA. PARTIAL PRESSURES

Method Vapor Phase

Aqueous Partial PressureConcentrationWaterMolal

per centXH,20

Experimental Calculated byRaoult's Lawp =- o p= (l-XNH3 )Pi,2o*

mm. of mercury

Temperature: 60 deg. Centigrade PH 20 = 149,295

0.7581.422.353.064.294.677.1610.8018.6023.80

64.879.189.695.2

103.2102.8111.0117.9126.8130.7

68.7183.0593.5098.57

104.70106.60113.80120.70129.00132.30

Temperature: 80 deg. Centigrade PH20 =355.268

6414.03401.01484.01192 fn

215.5251.3298.3309.7

Temperature: 90 deg. Centigrade PH20 =525.921

7180.05404.02091.01234.0

4.666.50

20.4038.40

334.6351.3426.6473.8

*Values for vapor pressure of pure water from Goodenough's "Properties of Steam and Ammonia."

Representing the mol fraction of the other constituent by XNII,XNH 3 + XH 2 1, necessarily; hence it follows that the partialpressure of ammonia in the vapor phase may be determined by sub-traction.In the last column of the table are shown values of the aqueouspartial pressures calculated from Raoult's law, or in other words,calculated on the assumption that aqua ammonia is an ideal solutionover its entire range of concentration. According to this assumption,x = X, if x represents the mol fraction of water in the liquid pIhase;

Solution Phase

AverageConcen-trationAmmoniaMolalper centXNH 3

TotalVaporPressureP

mm. ofmercury

54.0044.4037.4034.0029.9028.6023.8019.2013.6011.39

8553.05572 03815.33113.02406.02201.01551.01092.0681.6549.0

224.5264.7302.3>14 4

345.5363.9440.7478.6


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70

601K4)50I

40

k,30

Io

29 39 40 SO 69 9 89 906

0100----------------------T -----

0-

N

0---------^--_-------------------_*-emn-- -----

-- &-- Nc----------------------- -.r-n-

0

0\ "s '\\ \

II ^^. z^^ . ^, 'z,

0 /60No/a/ Conlcen/rat/on of Ammon/a /A Per Cent

FIG. 7. COMPARISON OF RAOULT'S LAW WITH EXPERIMENTAL VALUESOF PARTIAL PRESSURES


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hence, the partial pressure of the water vapor in the vapor phasewould be proportional to the water content of the solution phase.Figure 7 shows that such is not the case, but that the actual laboratorymeasurements show a consistent negative deviation from the idealvalue entirely in harmony with the idea that solutions of ammoniain water are not simply physical mixtures of the two components.The equation of Raoult's used in the last column is p XH0PH0o,where p is the partial vapor pressure of water in the vapor phase,XH.o is the mol fraction of water vapor in the liquid phase, and PH120is the vapor pressure of pure water at the temperature under consid-eration. XHO has been replaced by (1-XNH3 ) for convenience in cal-culation.10. Equation.-A satisfactory equation for expressing the rela-tionship between the concentration of the solution and the vaporpressure of the water above that solution has not been devised. Thegeneral form of the equation is:

p = (1 -A) X11 2o PH.o . . . . . . (4)in which A is a function of -YNHS, apparently. Its value is approx-imately 0.1XNH:. for values of XNai below 53 per cent; for highervalues of XNH.1 its value is approximately constant at 0.055. Thisequation has been used to calculate a table of partial pressures ofwater vapor above aqua, ammonia (Table 8) on the range coveredby the anhydrous ammonia measurements of the Bureau of Standards,and from these values Tables 9 and 10 have been computed.

IV. APPILICATION TO AMMONIA ABSORPTION PROCESS11 . Problem.-The use of the tables and diagrams can be brought

out best by a study of the operation of an ammonia absorption refri-gerating machine. In order to avoid indefinite generalities a partic-ular case will be taken.

In this problem the ammonia solution enters the generator witha concentration of 35 per cent, and leaves after the boiling off ofthe ammonia with a reduced concentration of 25 per cent. Thecondenser pressure is 150 pounds per square inch absolute, whichwill be taken as the generator pressure likewise. The average con-centration in the generator may be considered as 30 per cent. Thegiven generator pressure will be reached when the solution hasbeen heated to 217.4- deg. F. (Fig. 8) by the steam admitted to theheating coils. Under these conditions the vapors leaving the gen-erator will show a water content of 7.4 per cent (Table 10 andFig. 8), corresponding to a partial pressure of 11.10 pounds forthe water vapor (Table 8) and 138.9 pounds for the ammonia


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(Table 9). Reference to Table 7 will show that the error introducedthrough failure to multiply the given weight concentration by theconversion factor for molal concentration is 4 per cent in the caseof the generator solution, but since this is by far the most dilutesolution which will be met in the whole process, the cumulative errorwill be considerably less than this. The assumption is further madethat the machine under consideration is of sufficient capacity so thatall processes on the high pressure side of the expansion valve may beconsidered as taking place at constant pressure.

On passing through the rectifier the vapors undergo partial con-densation by cooling. The usual practice is to cool the vapors to atemperature approximately 20 deg. above the condensation point ofanhydrous ammonia at the pressure in use. In the present case thevapors will be cooled to a temperature of 98.81 deg. as will be seenby reference to the tables of the Bureau of Standards.* This cor-responds (Fig. 8) to a concentration of ammonia in the solutionphase of 71.3 per cent, and (for a temperature of 98.8 deg. F. anda concentration of ammonia of 71.3 per cent) a concentration ofwater in the vapor phase of 0.160 per cent (Fig. 8 and Table 10).In other words, in their passage through the rectifier the vapors havebeen robbed of part of their contained water, the partial pressure ofwhich has been reduced to 0.25 pounds (Table 8), while that ofthe ammonia has been increased to 149.75 pounds (Table 9).

To do this some of the ammonia vapor evolved in the generatorhas been sacrificed. It is impossible to return any of the originalwater in the vapor to the generator without returning such an amountof ammonia that the concentration of the solution formed will be inequilibrium with the vapors remaining after the condensation. Like-wise it is impossible to cause this condensation without a cooling ofthe solution, unless the vapor pressure be materially increased.12. Solution of Problem.-Consideration of the case of 2 000pounds of vapor mixture in the rectifier after leaving the generatorwill show the extent of this process:

Water content of vapor from generator . . . 7.4 per centWeight of water . . . . . . . . . 148.0 poundsWeight of ammonia . . . . . . . . . 1852.0 " "

Ammonia content of solution returned to gen-erator from rectifier . . . . . . . . 71.3 per cent

Weight of water returned . . . . . . . 144.8 poundsWeight of ammonia . . . . . . . . . 359.7 " "

Total . . . . . . . . 504.5 " i"* B. S. Circular No. 142, 1923.


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Water content of gases sent on to receivers . . 0.160 per centWeight of water passed . . . . . . . 2.393 poundsWeight of ammonia .. . . . . . 1493.10 " "

Total . . . . . . . . 1495.50 " "Partial pressure of water vapor . . . . 0.25 lb. per sq. in.Partial pressure of ammonia . . . . . . 149.75 lb. per sq. in.

On flowing through the pressure reducing, or so-called expansion,valve the ammonia solution experiences a release in pressure to avalue determined by the concentration of the aqua ammonia in theabsorber and by the temperature of the latter. Since the pressurewill be greater the higher the concentration, and since no concentra-tion changes occur during the pumping of the solution from theabsorber to the generator, it follows that the back pressure in thecooling coils will be determined in the present instance by the vaporpressure of a 35 per cent ammonia solution at whatever temperaturethe absorber may be kept during the operation of the machine.It is desired to maintain a temperature of 6 deg. F. in the coolingcoils. Although further experimental work concerning these lowertemperature vapor pressures must be done before the tables can beextended into this region, a fairly satisfactory extrapolation can beperformed by the use of the aqueous vapor content table (Table 10).There it will be noticed that as a general rule an increase in tem-perature of approximately 41.0 deg. F. will cause an increase ofabout 5 per cent in the composition of the solution with which agiven composition of the vapor phase is in equilibrium. This rulemay be applied in order to calculate from the data furnished in thetable for a temperature of 32 deg. F. the solution with which a givenvapor phase will be in equilibrium at 6 deg. F. The quantity calculatedin this manner as the amount to be either subtracted from or addedto the values there tabulated may be taken as 3.17 per cent.

A vapor possessing a water content of 0.160 per cent is in equili-brium with a 54.1 per cent ammonia solution at 32 deg. F. Apply-ing the rule given above, this same vapor will be in equilibrium witha 50.9 per cent solution at 6 deg. F. Referring to Table 11, the valueof the quotient corresponding to a solution of this concentration is0.903. Knowing the temperature of the solution in the coils andthe quotient, the value of 0 may be calculated, and is found to be421.0 deg. or a Fahrenheit temperature of -39.0. The tables of theBureau of Standards show a pressure of 10.72 pounds for ammoniaat this temperature, which Table 6 shows will be reached by a 35 percent ammonia solution at a temperature of 51.3 deg. In other words,since at this temperature the composition of the vapor required inthe coils is identical with the composition of the solution furnishedat the expansion valve, there should be no accumulation of a liquid


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phase in the freezing coils; and, of course, the same condition istrue for any absorber temperature below this, provided only that theprocess occurs at constant pressure.

On the other hand, Table 11 furnishes the value of unity fora 100.0 per cent solution. The tables of the Bureau of Standardsgive the value of 35.09 pounds for anhydrous ammonia at 6 deg. F.This is the pressure attained by a 35 per cent ammonia solution at105.9 deg. F. and at this pressure the solution phase is identicalin composition with that furnished by the expansion valve. No evapor-ation of water will therefore occur in the freezing coils. In orderthat the machine may work properly the average temperature ofthe absorber must be kept below the value of 105.9 deg. F.We may assume that the absorber temperature is that of the solu-tion leaving the absorber, namely, 80 deg. F. The pressure is 20.5pounds and the quotient is now 0.954, corresponding to a concentra-tion of solution of 66.1 per cent at 6 deg. F. The corresponding con-centration at 32 deg. F. is 69.3 per cent, according to the methodabove, in equilibrium with a vapor of 0.065 per cent water content.The amount of water appearing as an accumulating liquid phase isevidently represented by the difference between the water contentof the liquid phase as supplied by the valve and that of the vapor,or 0.095 per cent. Of the 2.39 pounds of water passing the valve1.42 pounds will accumulate in the coils to form 4.19 pounds of 66.1per cent solution, and the rest will evaporate off into the vapor phasetogether with the residual ammonia.

13. Performance.-On the basis of 60 700 pounds of ammoniarepresenting the quantity which must be evaporated to supply arefrigerating effect of 100 tons per day, Table 4, the table of per-formance, was constructed.

14. Effect of Water Content.-At this point it may be well toclear up an apparent misconception with regard to the nature ofthe refrigerating medium in the absorption process. In the com-pression process anhydrous ammonia itself is the substance affect-ing the essential heat transfers. In the absorption process this isnot the case, but a concentrated solution of ammonia, or better still,a solution of water in ammonia is the active agent. This itself in noway affects the value of the machine for producing cold; in fact, asfar as can be predicted with our present knowledge of the ammoniasolution, this should increase its efficiency since the latent heat ofwater boiling under any pressure is much higher than that of ammoniaat the same pressure. The specific heats of both liquid and vaporof steam and of ammonia are nearly identical. On the other hand, theuse of a solution in the coils instead of a pure substance introducesthe undesirable effect of selective evaporation which under ordinary


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TABLE 4TABLE 01'OFPERFOMANCE vilt ABSORPTION REFliIGERATING MXACHINE

Sper Lbs. perLbs. per 100 Tons2000 Lb. of Refrigerationof vapor per 24 Hr.

Weight of original vapor. .. . . . . . ..... . 2000.00 81 300.0containing water. ........ ... .. . 148.00 6020.0and ammonia .......... ... ....... . 1852.00 75280.0

Returned to generator, water. ... . . . . 144.8 5 890.0Returned to generator, ammonia ........... 359.7 14 630.0

Sent to receiver, water .............. 2 39 7.2Sent to receiver, ammonia . . ............. 1493.1 60 700.0

Accumulated in coils, water . ........... . 1.42 57.7Accumulated in coils, ammonia . . . . ... . 2 77 112 6

Condensed by absorber, water . ....... 0. 97 39 .5Condensed by absorber, ammonia .... 1490.3 60 582.0

working conditions causes an accumulation of a certain amount ofliquid phase in the freezing pipes. Probably most of this is eventuallycarried along to the absorber by the impetus of the vapor current,thus preventing clogging. It must be remembered that the calcula-tion here appended concerns only constant pressure processes. Apressure drop through the freezing coils will affect these calculationsunfavorably by further increasing the amount of this liquid phasewhich will form.

Furthermore, it is evident now that this condensation does notform water but a concentrated ammonia solution in the coils. Hereinlies the explanation of the fact that these machines can have condensa-tion occurring in the coils and yet not suffer plugging. Although nowork has been done to determine the freezing points of ammoniasolutions, the law regarding the lowering of the freezing point isuniversally true; and under the conditions of concentration existingin the cooling coil it would be impossible to plug the line with frozensolution unless the back pressure from the absorber were materiallyreduced.

15 . Operating Conditions.-In the operating conditions whichwe have just been considering there is another interesting possibility


38/60


to be investigated. In the analysis it was stated that the vaporspassing through the rectifier were cooled to a temperature of 98.81deg., or 20 deg. above the condensation point of anhydrous ammonia.It is at once evident that the amount of accumulated liquid in thebrine coils will be materially decreased if this rectifying is carriedstill further; and it may not be out of place to study the operationof a machine in which the vapors leave the rectifier at a temperatureof 88.81 deg. or 10 deg. below the first rectifying temperature.

To save space the author has appended Table 5 as a means of con-trasting the results due to the two operating conditions. The tableis self-explanatory. It is evident that in order to secure identicalrefrigerating effects, the quantity of vapor furnished by the generatormust be much greater in the second case than in the first, and a muchlarger amount of ammonia must be returned to the generator fromthe rectifier. On the other hand, it is possible to raise the absorber toa higher temperature before accumulation begins in the freezingcoils (optimum temperature), and as would be expected the amountof this accumulation is not so great for any given temperature, thusincreasing the refrigerating efficiency of the coils. Yet the maximumtemperature to which the absorber can be raised without prohibitingthe proper functioning of the machine is not altered.

Here again the engineer is confronted by conflicting conditionsbetween which it is better to effect a compromise, but the natureof this compromise must be determined by the results to be obtained.A concentrated ammonia solution boils at a lower temperature thanone more dilute; hence it follows that in plants desiring the attain-ment of a cold temperature fairly close to the bottom of the rangecapable of being reached with the absorption machine it would bebetter to keep the rectifier at a lower temperature, and thus furnishthe freezing coils with the more concentrated ammonia. In thoselocalities in which the climate is such that the cooling water aroundthe absorber does not keep its temperature very low, it would greatlyincrease the working efficiency of the machine to supply only themore concentrated ammonia to the coils; but otherwise there seems tobe no practical advantage in keeping the rectifier at this lower tem-perature, in view of the heavier load which is thus transferred to thegenerator.

The chart, Fig. 8, will be found very useful in the solution ofengineering problems. From it values required for computations canbe found directly, accurately enough for most work. In addition

aclearer idea of conditions can generally be obtained from a chart thanby the use of tables, and this is particularly true in the case of theabsorption machine cycle.


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TABLE 5COMPARATIVE PERFORMANCE FOR DIFFERENT CONDITIONS OF OPERATION

Items

Wt. of original vapor (lbs.).....Wt. of contained water ........Wt. of contained ammonia....

Temperature of vapor leaving recti-fier (deg. F.)...............Concentration of solution returnedto generator (per cent)......

W t. returned (lbs.) . . . . ......W t. of water . .. . . . . . .W t. of ammonia . ... .......Water content of vapors from re-ceivers (per cent) ......

Wt. of this vapor (lbs.) . . .W t. of wate r......... .Wt. of ammonia. .... . .

Maximum absorber temp. (deg. F.)Maximum absorber pressure (lbs.)

Optimum absorber temp. (deg. F.) .Optimum absorber pressure (lbs.). .

Pressure of absorber at 80 deg. F.(lb. per sq. in.) ............Composition of equilibrium solutionat 6 deg. F. (per cent) .... .

Water content of vapor at 6 deg. F.(per cent) .................Water content accumulating incoils (per cent) .............

Wt. of accumulating solution (lbs.).W t. of wate r... . . .. . . .. . . .. . . . ...W t. of ammonia . . . . . . . . . . .......Wt. of vapor condensed in absorber(lbs.) .....................

W t. of water............... . .W . of ammonia... . .. . .. . .. . .

Per 100Per Ton Tons ofof Vapor ; Refrigeration

pey 24 Hrs.

2000.0 81 300148.0 60201852.0 75 280

98.8171 . 30

504.5 20 530144.8 5890359.7 14 630

0.160

Per 100Per Ton Tons ofof Vapor Refrigerationper 24 Hrs.

2000.0 115200148.0 85001852.0 106 700

88.8184.50

946.0 54490146.6 8440799.4 46 050

0.065

1495.5 60800 1054.0 607402.39 97.2 0.69 401493.1 60700 1053.3 60700

105.6035.09

51.3010.72

105.6035.09

79.5020.34

20.5066.10

0.0650 00

0.0650.095

170.357.7112.6

1491.30 60621.30.97 39.51490.30 60581.81054.0 60740.00.69 40.01053.3 60700.0


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V. SUMMARY16. Summary.-The matter covered in the foregoing discussion

and the results of the investigation may be summarized as follows:(1) The hitherto unsatisfactory state of the knowledge

of aqua ammonia has been noted, and the desirability of furtherknowledge shown.

(2) Apparatus for total and partial pressure measure-ments of the ammonia-water system has been described.

(3) Measurements have been made and experimentalvalues obtained for these pressures. From these, generalempirical equations have been derived on which calculationsmight be based.

(4) Tables of total and partial pressures have been com-puted, making use of these equations.

(5) The application of this work to the ammonia absorp-tion process of refrigeration has been explained and illustrated.


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APPENDIX IBecause of the complexity of the equations which have been form-

ulated as expressions for the calculation of total and partial pressuresof the ammonia-water system, and also with the aim of making thework of more practical value, tables containing the necessary datahave been appended.

In Table 6 are recorded the total pressure of aqua ammonia overthe entire range of concentration in 5 per cent molal incrementsbetween the temperature limits of 32 deg. F. and 250 deg. F. in 10deg. increments, relying on the experimental data of the Bureau ofStandards for anhydrous ammonia, by the use of Equation (1), ChapterI1. The pressures shown are in pounds per square inch absolute.The results calculated from the equation have been checked bythe method of successive differences. These values may be readilyapplied to solutions when the weight per cent concentration ofammonia is known by means of the conversion factors given in Table7. The values of the quotients furnished by the equation are shownin Table 11 for every per cent concentration.

Table 8 contains the corresponding values for the partial pressuresof water vapor above aqua ammonia in pounds per square inchabsolute, calculated from Goodenough's data by means of Equation(4), Chapter III. Subtraction of these values from those of Table 6has furnished the values of Table 9 as the partial pressures of ammoniain the vapor phase above the designated concentrations of aquaammonia. In Table 10 are shown the percentages of water vaporin the vapors above aqua ammonia as obtained from Tables 6 and 8.

All these data have been collected graphically to form Fig. 8, whichhas been designed to cover the range within which the absorptionprocess works. The continuous lines represent the solution isothens;the dotted lines represent isothens in the vapor phase, as plotted onthe p, t plane. Pressures are expressed in pounds per squareinch absolute, temperatures in degrees Fahrenheit, solution composi-tions in mol per cents of ammonia, and vapor compositions in molper cents of water vapor. The steeper slopes of the vapor isothensare apparent. By means of Fig. 8 it has been possible to show therelationships between vapor and liquid phases in a manner whichcannot be done if plotting of partial pressures is resorted to , owingto the small amounts of water vapor usually present in the vaporphase.


42/60


01616161lC16160160000000000000

p- i-i - i-ienc ' c , c c,'fi'16060 160 N 0161616sa

16 c. c66 166 16 N.6 16 -m 0 6161 16.- m-c mOi6oC 68n6 06o 6 m6 ->o w N- - - -----M^Ct-16161 6

16 0 C-'16 16 C6 .6m 6 01 000000

16m^CO1616t~l0^.160 '-O OOO OC66 !1-1CSOCOW~~~t~-- - --OO-'O-f t -i6316i6161616

.................... i0

10 x 161 - 161 0 t.1 1m 16 6 6t 60 1 1 1

164 x11N1 x11


43/60


: I C:

C , I- ; I

PC , j-1 1

s *5; scd

P-0

Z CC a5 C

0 C

0 : 0h ic , V

MOOCC -**CCCCfCC VCCO O - C ICtC- CCV -C N -CVC

VOCfN-' O O ^ 0 0Cl -lCCC CC

Co CCf VO^hCl N'O CCCVC Ci' VO~b''C 00 **-'i Cli CCiCCC V V' -, -S CC C VN VN' CCC *-

0 CCNVli t'CCC OO00000000 *-'iCI~ V''tCCV N-O ~ ~ -t'lt'CClCCV OV V CCCCCCCM CLC V VCC,-4CCVVCCV~l t-.NOlVVV -CC

CCCCCV NCtOC'-t-fVCCCC CCVVNCCr.CC ~OCCC -'0Clol3lglglg l

MOQOOOOOOOOOOO

M~iS t^O~iO'M C-^Itffh-X iO'MM~cq


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TABLE 7CONVERSION FACTORS

WeightConcentration

10095908580757065605550

ConversionFactor (k)

1.00000.99720.99440.99160.98880.98600.98320.98040.97760.97480. 9720

WeightConcentration ConversionFactor (k)

0.96920.96640.96360.96080.95800.95520.95240.94960.94680.9440


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-7 0 6oii71t--t7100..o'O r- - N t. + -Nio - i. o

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eqCC C CC CO CCOCOCCOCOO CCCOCCCO 'C O Nt cc COC-eq O 'tC C O NC O C qC O^ 'C C

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001COfMC 'cGt^- '*tcO t-00000. . . .-0 :C ''C0NCc0~I - . .0 0Cco cco------------------------.

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0.00 0.58700.01 0.64740.02 0.65910.03 0.66560.04 0.67120.05 0.67600.06 0.68050.07 0.68480.08 0.68900.09 0.69320.10 0.69740.11 0.70170.12 0.70600.13 0.71050.14 0.71490.15 0.71950.16 0.72410.17 0.72880.18 0.73360.19 0.73850.20 0.74340.21 0.74840.22 0.75350.23 0.75860.24 0.76380.25 0.7691

TABLE 11VALUES OF -T

x ox - - xT T

0.26 0.7744 0.51 0.9031 0.760.27 0.7797 0.52 0.9073 0.770.28 0.7851 0.53 0.9114 0.780.29 0.7905 0.54 0.9155 0.790.30 0.7959 0.55 0.9193 0.800.31 0.8013 0.56 0.9231 0.810.32 0.8068 0.57 0.9267 0.S20.33 0.8123 0.58 0.9303 0.830.34 0.8177 0.59 0.9336 0.840.35 0.8231 0.60 0.9369 0.850.36 0.8285 0.61 0.9400 0.860.37 0.8339 0.62 0.9430 0.870.38 0.8393 0.63 0.9459 0.880.39 0.8446 0.64 0.9486 0.890.40 0.8499 0.65 0.9512 0.900.41 0.8551 0.66 0.9537 0.910.42 0.8603 0.67 0.9561 0.920.43 0.8654 0.68 0.9583 0.930.44 0.8704 0.69 0.9605 0.940.45 0.8753 0.70 0.9625 0.950.46 0.8802 0.71 0.9644 0.960.47 0.8850 0.72 0.9662 0.970.48 0.8897 0.73 0.9679 0.980.49 0,8942 0.74 0.9696 0.990.50 0.8987 0.75 0.9711 1.00

T = 1+0.70356 (1-x z )z = Vx+0.05 (1.347- 2.9x+ 1.77x 2)

T

0.97260.97400.97530.97650.97770.97890.97990.98100.98200.98300.98400.98500.98590.98690.98790.98890.98980.99090.99200.99310.99440.99570.99700.99841.0000


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7j-TA4

900

60Sso40

30

'20

/0

54

2.S 80 90 /00 1ZO /30 /40 /50 /607emperature /? Degrees Fat/re?/?7/17

- j - .- 1'-- - -^r

- .r0' ^v-

r. ,.- --- y^"--- --- ..... ^ . . . - . _ *

jr^

^ . ^ ===

J-==^=. :- w

Z ' f" ~ ^ 3 _

v f^^

.'jM -++

Mvail2 2q

_ ~~tI_- - l lI - I ~ ____ --~----

' 1 __~t ~ I

M(/ater Vapor/ above th/7se Sio/i///0/S------- o/ia/ Cofncfntr~^ion7 of /Iquffiocs S'o/ut/'on7 ofAffm7


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RECENT PUBLICATIONS OFTHE ENGINEERING EXPERIMENT STATIONt

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THE UNIVERSITY OF ILLINOISTHE STATE UNIVERSITY

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THE UNIVERSITY INCLUDES THE FOLLOWING DEPARTMENTS:The Graduate SchoolThe College of Liberal Arts and Sciences (Ancient and Modem Languages and

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partial vapor pressures above aqua ammonia

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