relative humidity-temperature relationships of some …axlmum change 111 rej~tlve humidity with...

8
Journa tof R esearch of the National Bureau of Sta ndards Vol. 53, No.1, July 1954 Research Pa per 2512 Relative Humidity-Temperature Relationships of Some Saturated Salt Solutions in the Temperature Range 0 0 to 50 0 C 1 Arnold Wexler and Saburo Hasegawa . .' T h e r.elative hllm idit y-te mp c:atllre relations hip s h. ave d ete rm in ed in air in equi- hb llum with sat ura ted solut IOn s of llthlUm chlond e, L1C [·H 20; mag nesi um chloride M gC6HzO ; . magnes ium nitr ate, Mg(N0 3!2 ·6H 20 chl ond e, Na CI; ammO J1Jum sulfat e, (N H4 ), S0 4; po tass ium nitra te, KNO;; and a. te mp era:t ur e ran ge of 0° to 50° C, us i ng t he dcwpoint met hod. 1h.e rel.atlve hlllJ1J .dl ty a cont muou s func tIOn of te mp e ra ture, and , except for sodIUm chl or!d e, IS 1he cur ve fo r so dium chlorid e in crea ses from 74. 9-pcrccnt Tela tJ v,e hlllnl C lt ty at 0 a ma ximum of 75. 6 l )ercent at 30° C a nd then gradu ally de- cr ease8 to per cent. 1h e. change 111 humidi ty with te mp er at ure, a l? out 1.5-p etcent rel at ive. hlllTIldl ty as t he te mperat ure 111 cr eases from 0° to 50° C occurs wIt h sat ura ted salt solu tIO ns of sodium dichromate and m ag nes ium ni trate. ' 1. Introduction , Sa t urat ed salt solutions ar e very useful in pr odu c- mg humidi ties, prin ci pally for tes ting and cahbr at mg selected hygrometers and hygro- graphs at temperatur es above 0° C. Th e sat ur a ted s alt solution is made up as a slushy mixture wi th di stilled wat er and chemically pur e salt in a Q 'lass or enamel ed t ray and is enclosed in a seal ed or glass chamb er. WJ1 en equilibrium condition s, usu- ally , ha stened by forced air circ ula tion or stirring, ar e a ttamed, the cha mb er space is at a constant relative sat ur ated salt solutions produ ce relatIve humIdItIes th at are roughly indepe nd ent ·of temp era t ur e. The valu es of r elati ve humidi ty of th e sat urat ed solutIOllS of several salts used in calibra- tion and test ing ar e liste d in NB S Circular 512 [1] 2 arc based .p ar tly va por-pressure d ata given m the Cn tical Tables [2] and partly on dewpom t measur ements made at NB S. Th e relative humidi ty-temp er at ur e relationship s o! these, as well as several other, sat urat ed salt solut IOn s have been redetermin ed and ar e th e subject of thi s paper. Th e measur em ent of v apor pressure or v apor pr es - s ur e lowering of a sal t sol ution m ay be made in sev- eral ways. Th e differential m ethods ar e based on tbe determina tion .of the difference in v apor pr ess ur e th e solu tIOn and solvent, using a sensitive man ometer. m ethod, the bOIlmg pomt of the solut lOn IS d etermmed und er re- du ce d pr ess ur e. Th e transpir at ion or O'as -sa tur at ion m ethod involves the gra vem et rie of water-va por co n tent of an in ert gas sa t ur ated by passage over or through the salt solution. The dew- point m ethod consists in redu cing the temp eratur e of a mirror surface un til cond ensation occ ur s. 1 Thi s investi gation w as financi all y supported by tbe Aerology Brancb, Burcau of Aeronautics, Department of tbe Navy . 2 Fi gurcs in brackets indicate tbe literature references at tbe end of tbis paper. 19 Th e dewpoint method was utilized in this invest i- ga tion. Wi th this m ethod , meas ur emen ts could readily be mad e in th e pr esen ce of an air atmosphere und er conditions similar to those occurring in th e use of sat ur ated salt solutions for humidity-control purposes. Furthermor e, other than using cbemically pure salts of reagent grade and di stilled water no special precau tions were taken. Thus the con tained trace impurities, and the wa ter wa s ail' sa tur ated. 2. Description of Apparatus Th e exp er im en tal set up shown in fi gur e 1 was used to determine the equilibrium vapor pr ess ur e of a satur ated salt solut ion. Th e bo tt om of a 2-litcr Wolff fl ask, A, was fill ed to a dep th of 2 in ch es with a s ?lu tion of a salt, B, made up as a slushy mI xt ure WIth a pure r eaO'ent O'rade chemi cal and distilled water . A dewpoin t C was inserted through one s id e neck of the a' n air s tirr er, D, was inser ted through the central 'neck of the fl ask ; and b y- o copp er- co n stan tan thermocouples, E and F, were msert ed through the other side neck of the flask. The Wolff flask was immersed in a liquid b ath , O. Aut omatic temp er atur e con trol of the bath was achi eved by a system in which thermi s- t ors, in a bridge circuit, detected the temp eratur e and a h eatcr, H, supplied h eat in pro- po rt lOn to unbalan ce. Below room te mp era- tur e, a coohng system , I, was used to redu ce the eath temp era t ur e. The shaft of the air stirrer, D, was supp or ted in a close-fi tt ed bearing a nd driven, t hr ough a belt and pu}l ey, by an external remotely motor . . E , m easur ed the all' temp er atur e wltlun the Wolff flask , thermocoupl e, F, meas ur ed th e temp era ture of th e sat ura ted salt solution and thermo coupl e, H, measur ed the temp eratur e df the liquid bath . These th e rmo coupl es were mad e with cotton-covered Bake lite-insulated wire. To ins UJ' e t hat no spurious el ectromotive force would be

Upload: dotram

Post on 20-Mar-2018

220 views

Category:

Documents


3 download

TRANSCRIPT

Page 1: Relative humidity-temperature relationships of some …axlmum change 111 reJ~tlve humidity with temperature, al?out 1.5-petcent relative. hlllTIldlty as the temperature 111 creases

Journa tof Research of the National Bureau of Standards Vol. 53, No.1, July 1954 Research Paper 2512

Relative Humidity-Temperature Relationships of Some Saturated Salt Solutions in the Temperature

Range 0 0 to 50 0 C 1

Arnold Wexler and Saburo Hasegawa

. .' The r.elat ive hll midity-tempc:at llre rela t ionships h.ave b~en determined in air in equi­h b llum wit h sat urated ~alt solut IOns of llt hlUm chlonde, L1C[·H20 ; magnesi um chloride M gCL·6HzO ; . ~odlU~n dlc!lromat~, Na2Cr207·2H~O ; magnesium n itrate, Mg (N 0 3!2·6H 20 ~ sodlU~ chlonde, NaCI; ammOJ1Jum sulfate, (NH4),S04; potassium nitrate, K N O; ; and potas81umr~ulfate, ~(2S04' ~v~r a. tempera:ture range of 0° to 50° C, using t he dcwpoint method . 1h.e rel.atlve hlllJ1J.dlty r ~s a cont muous func tIOn of te mperat ure, and , excep t for sodIUm chlor!de, IS mO~l otO I1JC. 1he curve fo r sodium chloride in creases from 74. 9-pcrccn t Tela tJv,e hlllnlClt ty at 0 C~? a maximum of 75. 6 l)er cent a t 30° C a nd t hen gradu ally de­crease8 to 7~. 7 percent. 1he. ~axlmum change 111 reJ~tlve humidi ty with temperature, al?out 1.5-petcent re lat ive. hlllTIldlty as t he tempe rature 111 creases f rom 0 ° to 50° C occu rs wIth saturated sal t solu tIOns of sod ium dichromate a nd magnes ium ni trate. '

1. Introduction

, Saturated sal t solutions are very useful in produc­mg lmo~n re~ative humidities, principally for testing and cahbratmg selec ted hygrometers and hygro­graphs at temperatures above 0° C. The sa tura ted salt solu tion is made up as a slu shy mixture with distilled water and chemically pure sal t in a Q'lass or enameled t ray and is enclosed in a sealed ~e tal or glass chamber. WJ1en equilibrium conditions, usu­ally ,hastened by forced air circulation or stirring, are a ttamed, the chamber space is at a constan t relative hum~dity. ~o::n.e saturated salt solu tions produce relatIve humIdItIes that are roughly independent ·of temperature.

The equilibri~m values of r elative humidi ty of the saturated solutIOllS of several sal ts used in calibra­tion and testing are listed in NBS Circular 512 [1] 2

~nd arc based .p ar tly <?~ vapor-pressure data given m the ~nternatlOnal Cntical T ables [2] and par tly on d ewpom t measurements made at NBS. The rela tive humidity-temperature relationships o! these, as well as several other , saturated salt solut IOns have been redetermined and are the subj ect of this paper .

The measurem ent of vapor pressure or vapor pres­sure lowering of a salt solution may be made in sev­eral ways. The differen tial methods are based on tbe determination .of the difference in vapor pressure b~t.'"een. the solutIOn and solvent, using a sensitive dii!erentla~ manometer. ~n t~e dynam~c method, the bOIlmg pomt of the solutlOn IS determmed under re­duced pressure. The transpiration or O'as-saturation method involves the gravemetrie ~eas~rement of th~ water-vapor con tent of an iner t gas sa turated by passage over or t hrough the sal t solu tion. The dew­point method consists in reducing the temperature of a mirror surface until condensation occurs.

1 This investigation was financiall y supported by tbe Aerology Brancb, Burcau of Aeronautics, Department of tbe Navy.

2 Figurcs in brackets indicate tbe literature references at tbe end of tbis paper.

19

The dewpoin t method was u tilized in this investi­ga tion. Wi th this m ethod, measuremen ts could readily be made in the presence of an air atmosphere under condi tions similar to those occurring in the use of sa tura ted sal t solutions for humidity-control purposes. Furthermore, o ther than using cbemically pure sal ts of reagen t grade and distilled wa ter no special precau tions were taken. Thus the ~alts contained trace impurities, and the water was ail' sa tura ted .

2 . Description of Apparatus The exp erimen tal setup shown in figure 1 was used

to determine the equilibrium vapor pressure of a satura ted salt solut ion. The bo ttom of a 2-li tcr Wolff fl ask , A, was fill ed to a dep th of 2 inches wi th a sat~' rated s?lution of a sal t, B, made up as a slushy mIxture WIth a pure reaO'en t O'r ade chemical and dis tilled water . A dewpoin t app~ratus C was inserted through one side neck of the :fJ asl~' a'n air stirrer , D , was inser ted through the central 'neck of the fl ask ; and b y-o copper-constan tan thermocouples, E and F , were mserted through the other side neck of th e flask. The Wolff flask was immersed in a liquid bath , O. Automatic temperature control of the bath was achieved by a system in which thermis­tors, in a bridge circui t, detected the temperature unb~lance and a heatcr , H , supplied heat in pro­portlOn to ~he unbalance. Below room tempera­ture, a coohng system , I , was used to reduce the e a th temperature.

The shaft of the air stirrer, D , was suppor ted in a close-fi tted bearing and driven, through a belt and pu}ley, by an external remo tely posit~oned motor.

. fl~ermocouple, E , m easured the all' temp erature wltlun the Wolff flask , thermocouple, F , measured the t emperature of the satura ted salt solution and thermocouple, H, measured the t emperature df the liquid bath. These thermocouples were made with cotton-covered Bakelite-insulated wire. To insUJ'e that no spurious electromo tive force would be

Page 2: Relative humidity-temperature relationships of some …axlmum change 111 reJ~tlve humidity with temperature, al?out 1.5-petcent relative. hlllTIldlty as the temperature 111 creases

M

o

N I p

~ O~-(:, -- f,-- --- - - -

o ll. -;:;---- -

FIGURE 1. Experimental setup. A, 2-litcr ' Yol fT flask; TI, sat urated salt solu tion; 0 , dcwpoint apparatus; D,

a ir stirrer; E, t hermocouple for measuri.n g air temperature; F, t hermocouple for measuring temperatul'C of saturated salt solutio n; G J therm ocouple for mC:J.suring bath tcmprraturr ; H, bath h ea.ter; I , coolin g system; J , liquid bath s tirrer; K, cooling system control vah ·o; L, cooling system by-pass valve; IVr , cooling system pump; :i\f, Stoddard's solve nt 111ixed with dry icc; 0, liquid t hermostated ba.t h; P , position external to bath from which a light is projected on tho dewpoillt mirror and fro m which the dewpoint mirror is obscrycd wi th a telescope .

introduced because of eleC'lroh , tic action , cach junction was coated and protected with polystyrene cement . Thc thermocouple leads were covered wi th grounded equipotential shields . A precision po­tentiometer was used to measure the thermocouple electromotive force with a precision of better tlulll 1 microvolt.

A light was projected on the dewpoint mi rror and the mirror was vicwed, through a telescope, from position, P , external to the liquid bath.

D etails of the dewpoint apparatus are shown in figure 2. A brass cup , A, 3 inches in diam eter and 3 inches decp, was attached to one end of a %-inch­outsid e-diameter copper tube, B , ?~ 2-inch in wall thickness. A dewpoint mirror, H , was soldered to the other end of the copper tube. This mirror , X-inch-ou tside-diameter and Ys inch thick, was machined from copper , with a recess equ al to the wall thickness of the copper tube so that it would fit snuggly in the end of the tube. The reflective surface of the mirror was firs t ground and polished, then plated with chromium, and finally lapped to within one-half fringe of optical flatn ess . A 1-mm­diameter hole was drilled in the center of the mirror, from the rear, to within about ?t4 inch of the front reflective surface. A copper-constantan thermo­couple, C, B&S gage .l'\ o. 30, was inserted into th e hole and soldereel to the mirror.

An ins lated-wire heater , E , was wound around the copper tube close to the mirror end. This heater was controlled by a variable transformer from a 60-cyde a-c power source. Glass-wool insulfLtion, G, was wrapped around the copper tube and retained in position by a Bakelite tubc, F, %-inch outside cliam­eter. A galvanometer mirror, I, attached to the Bakelite tube by a metal bracket , J , allowed ('on­venient viewing of the dewpoint mirror.

The addition of dry icc and alcohol to the brass cup, A, figure 2, served as a cold source for cooling

c

A

---.:> ---- 0 -

- 1>----

E D

FIGU llE 2. Dewpoint apparatus. A, Brass cup; H , copper cooling tube; OJ thermocouple; D, ru bber stopper;

E , hratc l' ; F , Bakrlitc t ube ; OJ p:]ass wool insulation ; H , dcwpoin t mirro r; 1. viewing mirror; J , support bracket..

the dewpoint mirror, H, through conduction along the copper tube, B. B y decreasing the voltage applied to heater, E , the temperature of the dewpoint m irror could be lowered gradually until dew or frost was detected . B y increasing the voltage applied to heater , E , the temperature of the mirror could be raised slowly until all dew or frost disappeared. The dewpoint mirror temperature corresponding to the instant of appearance and disappearance was measured by thermocouple, C.

3. Experimental Procedure

The procedure employed in making observations was to adjust the liquid-bath temperature to some desired value and then permit the Wolff fla sk , with its contents to come to temperature equilibrium. After eq uilibr uim had been established , an observer would manipulate the dewpoint heater control and simultaneously view the dewpoint mirror until he had obtained five successive appearances and dis­appearances of dew or frost on the clewpoint mirror. A second observer would then repeat the process under the same operating conditions. Occasion ally, the two observers would take repeat se ts of observa­tions. In this fashion, for anyone salt , data were obtained at 10-deg. intervals from 0° to 50° C.

20

4. Results

For purposes of this investigation, it was assumed that the dewpoint corresponded to the mean of the observed temperature at which dew first appeared and then disappeared . For a given observer, each dewpoint therefore corresponded, usually, to the average of a minimum of 10 temperature observa-

Page 3: Relative humidity-temperature relationships of some …axlmum change 111 reJ~tlve humidity with temperature, al?out 1.5-petcent relative. hlllTIldlty as the temperature 111 creases

TABLE 1. Observed temperature-1'e/alive humidity dala

Lithium chlorid e LiCnl ,O

' r cmperatl1 re ... . .. -- .. ocs .. 1 ().~3 1 9 .. 56 1 19.22 1 29.64 1 39. 64 1 46. 76 Relat"'e hl1mldl tY._ .. , 0" 11.1 13.4 12. 4 11 .8 11. 8 11.4

Magnesium chloride MgC!'·6rr ,0

' l'emncmtl1re .... ___ . 00 .. 1 0.42 1 9.S2 1 19 . . \~ 1 30. 18 1 39. 96 1 48.09 R cbti\'e htllnidity. __ % . . 3.5.2 34.1 33.4 33.2 :)2. 7 31. 4

Sodiu m di chrom a te ="a,CnO,·2 !I,0

T emperature . .- . .- . . __ .. oC ··1 O.GO 1 1Q.14 I l9. 82 i ~O. OI 1 37.36 1 47.3 1 Relat,,·c humtdlt,'._ . . % .. 60.4 51.8 55.5 02.4 50.4 '18.0

M agnesium nitrate :Mg(="0,),·61I ,0

Tem])craturc ... , __ ... oc ··1 0.39 1 ~.85 1 19.57 1 ;w.47 1 4n . ~ 5 1 4s.IO Relatl\'e humIdity .... % .. 60.7 51.5 55.8 51. b 49. I 46. 2

Sod ium l'h lorici(' ~fl.C l

1'cm pcratu re . .. . ..... oC ··1 0. 92 1 10.23 I 20.25 I 30.25 1 39. ls l 48.30 R clath'e humidity .. %. 75.0 75.3 75.5 75.6 74.6 74. ()

Amm onium suira.te eN 11 4hS0 4

T empe raturc ... , ...... oC ··1 ~.~9 1 10. 05 1 20.04 1 30.86 1 39.97 47.96 R elat " 'e hu ll1JCh ty .. % . 83. I 81. 8 80.6 SO. 0 80. I 79.2

Potass ium nitrate K 0rOa

1' em])era turc ·.·, ······°.f ··1 0. 62 1 10. 17 1 20.01 1 30. 70 14 O.35 1 4 ~. 12 Relatl vc huInldl ty .. . . Yo .. 97.0 95.S 93.1 90.6 88.0 80.b

----Potassium sulfate K ,SO.

1'emperature ... . ___ .. oC I 0.5-1 R elat ive humidity ... %. 99.0

10.08 1 19.81 I :lO. 44 1 39. 94 1 48. 06 98. 0 97. I 96. S 96. 1 00. 0

tions. The dewpoin t , for a salL aL a tesL tempe rA­ture, was taken as Lhe m ean of the clewpoinls ob­tained bv each observer.

The ainbient temp el'aLme was assumed Lo be Lh e mean of th e air temperature and Lhe saIL LemperaLm-e within the Wolff flask . As Lhese LemperaLure were relatively stable for appreciable period of Lime , only one such set of temperature readings was ob­tained by each observer for his corresponding se t of clewpoint observations.

The relative humidi t~~ in equilibrium wi Ll! th e satl1l'ated salt solution is given by

RH=S!.X 100, ea

where ea is the vapor pressure of pure water A.t the clewpoint temperature, and ea is the vapor pressure of pure water at th e ambient temperature. 'rhe vapor pressmes given in the Smithsonian T ables [3] were used in Lhis computation .

The mean relative humidity at each observed Lest temper aLure is presented in table 1 fo[, eigh t differen t satm aLed salt solutions ranging in rela.t ive humidity from about 11 percent to 99 percent. The data for each salt were plotted , and the best smooth Cl1l've obtainable by eye was drawll through the plo tted points. The faired values from this smooth curve arc given in table 2. They represent the best estimates of the relative humidit ies obtained with thrse salts at the selec ted temprratuJ'es .

T ABLE 2. FaiTed values oj Telative humidity VeTS!lS lempe1'atw'e

Relative humidity of saturated sa lt solution T empera-

ture Li CI·H ,O MgCr,·6lJ, 0 Na,2Cr20;·2II20 M g(No ,)z·orr,o S a CI (N H ,),SO, K XO, K ,SO,

----°C 0;, % % % % % 0;, <r

,0 0 14.7 35. 0 60. 6 60.6 74.9 83 .7 97. G 99.1 5 14.0 34.6 59.3 59.2 75. 1 82.6 96. G 9S.4

10 13.3 34. 2 57.9 57.8 75.2 8 1. 7 95.5 97.9 15 12. 8 33.9 50.6 56.3 75. 3 81. I 94.4 97.5 20 12. 4 33. G 55.2 54. 9 75.5 80 6 93.2 97.2 25 12.0 33.2 53. S 53.4 75.8 80.3 92.0 96.9 30 11. 8 32.S 52. 5 52.0 75.6 80.0 90.7 96.6 35 11. 7 32.5 51. 2 50.6 75.5 79. 8 89.3 96.4 40 11. 6 32. 1 49. 8 49. 2 75.4 79.6 87.9 96.2 45 11 .5 3 1. 8 48.5 47.7 75. I 79.3 86.5 96.0 50 11. 4 31.4 47.1 46.3 74.7 79.1 85.0 95.8

TABLE 3. Scatter oj dala aboul smooth CUTves

Nominal Relat ive-hu mid ity deviation of data from curve of saturatrd sa lt solution

tempera- --------------_. --------ture LiCI· H , O MgCr,·GJT,O N a,C rzO,· 2FI,0 1I1g(="O,),-6H , 0 NaCI (NJ'I,l,S O, KNO, K ,S O,

- - - - --- - ------ - ------° c % % % % % % % %

() 0 +0.3 0 + 0.2 + 0.1 0 - 0. 5 0 10 0 - . 3 0 -. 3 -. 1 0 +.4 +. 1 20 0 - .2 + . 2 + . 8 0 0 -. 2 -. 1 30 0 +.3 -.1 - . 3 0 0 +. 1 +.2 4C +. 2 +. 5 -. 1 + . 5 -l.0 +. 4 +.1 -. 1 50 -. 1 -. 2 +.2 -.6 0 0 0 +. 1

- - ------- -----Average. _ 0 ±0. 3 ± O. I ± O.6 ±0.2 ±O.l ±O.2 ±O. I

21

I

Page 4: Relative humidity-temperature relationships of some …axlmum change 111 reJ~tlve humidity with temperature, al?out 1.5-petcent relative. hlllTIldlty as the temperature 111 creases

The plots of relative humidity versus temperature yield curves that are continuous and , generally, vary li t tle with temperature over the t emperature range of 00 to 500 C. These plots are shown as solid-line curves in figures 3 to 10 . The maximum varia tion of rela tive humidity with temperature occurs with saturated solutions of sodium dichromate and magnesium nitrate. For these sal ts there IS an absolute decrease in relative humidity of about 15 percen t as the temperature increases from 00 to 500 C . The scatter of the mean experimental values above the smooth curves is given in table 3. The greatest scatter of the data occurs with sodium chloride and is ± 0.6 percen t relative humidity. For the other sal ts, the scatter is equ al to or less than ± 0.3 percent relative humidity.

18

17

.16 >-I-o ~ 15 :::> x: ~ 14

~ oJ 13 .... a:

12

II

FIGURE 3.

e x x

o

TEMPERATURE. °c

e e • e

~. I •

Compm'ison of the f ai red N BS j'esults with results of other expej·imenters.

F igures 3 to 10, inclusive , show a comparison of the faired N BS resu lts, as solid ·line curves, with t he res ul ts of other experimenters. T he fonowing symbol notation is used throughout these figures:

• I C'!' [2] o Foote, Saxton , and Di xon [4] + Leopold and Johnston [5] /c,. Sakai lBj o Adams and M erz [7] o B ul'lls [8] X O'Brien [9] ... Speran ski i [10, 15] \7 Prideau x [11 ] • Edgar and Swan [12] • Stokes a nd Robinson [13] * van't H off [14] '" Carr and H arris [IB] () Lescoeur [17J o D erby and Yngve [18]

CD Konduircv and Berezovskii [19] ~ Ewing, Klinger, and Brandner [20 IA Johnson and Molstad [21] E::l H uttig and Reuscher [22] t8l Gokcen [23]

22

35

cf 34

~ 33 o :E ~ 32 .... > ~ 31 oJ .... a: 30 •

<D

* •

Mg Glz' 6H zO

• o 0 <D @J

<D

o J o

::.L--....L-[ ~~~j

60

59

58

57

56

55 >-l-e ~ 54 :::> :I:

.... 53 > ~ ..J 52 .... a:

51

50

49

48

47

o 10 20 30 40 50

TEMPERATURE. °c

FIGURE 4. (See fig. 3)

46L-__ ~ __ ~ __ ~ __ -L __ -L __ ~ __ ~ ____ L-__ L-~

o 10 20 30 TEMPERATURE . °c

FIGURE 5. (See fi g. 3)

40 50

Page 5: Relative humidity-temperature relationships of some …axlmum change 111 reJ~tlve humidity with temperature, al?out 1.5-petcent relative. hlllTIldlty as the temperature 111 creases

23

Page 6: Relative humidity-temperature relationships of some …axlmum change 111 reJ~tlve humidity with temperature, al?out 1.5-petcent relative. hlllTIldlty as the temperature 111 creases

L

100 ,--r-----,;-- --.-----..----r--.---.--~

a-" 99

w > ;::: 96 « .J w a:: 95

940~-~~~~--2~O-~--3~0--L--4LO-.JL-.J50

T EMPERATURE. 0 C

FIGURE 10. (See fi g. 3)

5. Discussion

5.1. General

There are several advantages to the use of the dewpoint m ethod in determining the equilibrium relative humidity over a saturated salt solution. The experimental setup can be r elatively simple, r equiring only a temperature-controlled liquid bath for maintaining th e salt solu tion and its containing vessel at some fixed temperature and it dewpoint d etector. The dewpoint can be m easured in the presence of an air (or other noncondensible) atmos­phere. 11ethods that depend on the direct measure­ment of vapor pressure, either absolute or differen­tial, require careful elimination of all gases and vapors excep t th e w ater vapor from above th e salt solu tion as well as th e elimination of any dissolved gases in the solution because th ese would produce a serious error in the vapor pressure. The a bsolute accuracy of . th e vapor-pressure m eas urement in­creases with decreasing dewpoin t for a given accuracy in the dewpoint m eas urement. For example, if the d ewpoint is m easured with an accuracy of 0.1 deg C, t he corresponding accuracy in vapor pressure is 0.008 mm Hg at -20° C, 0.034 mm H g at 0° C, 0.109 mm H g a t 20° C, and 0.296 mm H g at 40 °C. The accuracy, in terms of percentage of vapor pressure, is 0.8 percen t a t -20° C, 0.7 percent at 0° C, 0.6 percent at 20° C, and 0.5 p ercen t at 40° C . Thus, the percen t age accuracy in vapor-pressure determina tion by the dewpoint method , for a given dewpoint accuracy, is roughly independen t of dew­point or vapor pressure. The dewpoint method is an indirect m ethod ; i t yields a temperature from which the vapor prcssure is obtained by r ecourse to tables. One of th e inheren t limi tations of the m ethod lies in the basic accuracy of the tables . For most work, . and p ar ticularly for this investigation, the standard tables are considered to have adequate accuracy.

5.2. Errors

r In determining relat ive humidity by the dewpoin t method , the principal enol'S arise in the measure­ment of the dewpoin t temperature and the ambient tempera ture. The precision of the temperature measurement, using calibrated single-junction eopper­constantan thermocouples and a calibrated precision potentiometer , was 0 .01 deg C , but the accuracy was probably no better than 0.05 cleg C. As (1 ) the ther­mocouple for measuring the dewpoint was imbedded only several hundred ths of an inch below the surface of the dewpoint mirror, (2) the body of the mirror was copper , and (3) the rates of heating and coding were uniform and slow, it seems reasonable to assume that any temperature differentials within or across the mirror were negligible, say, no more than 0.01 to 0.02 deg C . B ecause of the relatively low thermal conductivity of liquid water, the temperature differ­ential across the thickness of a dew film was poss ibly of greater magnitude. In cooling, the mirror was colder than the exposed dew surface and in heating, it was warmer . Two factors tend to reduce the importance of this. First , by averaging the tem­peratures at which dew is first observed to appear and then disappear, the er1'ors due to the differentials across the dew, because they are of opposite sign, tend to cancel. Second, by k.eeping th e thickness and quantity of dew small, the differentials can be reduced to a minimum.

24

The manually operated and visually observed dewpoin t hygrometer required a certain degree of skill for successful usc. After some experience in i ts use, it was possible to control the rate of heating and cooling so that the mirror temperature could be followed easil y with a potentiometer, the appear­ance and disappearance of dew could be detected readily, and the thickness of the dew deposit kept as small as desirable. An observer could repeat a series of, say, five dewpoint determinations, at any one time, with an average deviation of a single determination from the mean of 0.04 deg C, with an average deviation of th e m ean of 0.01 C , and with an average range of 0.13 cleg C. The average differ ­ence in temperature between the appearance and dis­appeara nce of d ew was 0.5 cleg C , whereas the maxi­mum difference ever observed was 2 cleg C. The dew­point appeared to be independent of the variou s observed differe nces in temperature between the appearance and disappearance of dew.

The clewpoint (the average, usually, of five repeat determinations) obtained by any one observer had an average devia tion from the mean of two or more observers of 0.07 deg C. The average deviation of the mean dewpoint of all observers for a salt solutio n at any temperature was 0.04 deg C. The mean range in dewpoint for all of the test conditions for two or more observers was 0.16 deg C.

Because the clew was visually detected , it is likely that differen t obser vers used different criteria for defining the appearance or disappearance of dew.

Page 7: Relative humidity-temperature relationships of some …axlmum change 111 reJ~tlve humidity with temperature, al?out 1.5-petcent relative. hlllTIldlty as the temperature 111 creases

i-­

I

This may account to some extent for the spread in dewpoint from one observer to another.

Below 00 C, either frost or dew (supercooled water) may be deposited on the surface of the dewpoint mirror . In all cases (which included dewpoints as low flS - 23 0 C) the deposit first detected was dew. If Lhe mirror temperature was not permitted to fall too far below the dewpoint, then dew remained on Lhe mirror throughout the determination. If the mirror temperature dropped appreciably below the clewpoin t, the dew changed to frost.

T he ambient temperature was taken as the mean temperature of the sal t solution and air. These latter two temperatures differed from each 0 ther because of the heat sources and sinks associated with the setup . The fan used for stirring the air within the chamber introduced heat through agitation ; conduction along the shaft added or abstracted heat, depending on whether the room temperature was above or below that of the test chamber. The dewpoint hygrometer served as a seriou s heat sink, for , by the very nature of i ts operation, it has to be maintained below tes t-chamber temperature. Although the insulation surrounding the conduction rod aided appreeiably in reducing the magnitude of the h eat loss, there was st ill enough loss to produce a temperature diO'erential between the salt solu tion and air. The test-chamber temperature may there­fore have an average uncerta in ty, because of this differen tial, of 0.09 deg C.

The root-mean-square uncertainty in the clewpoint determination is 0.07 deg C and in the ambient (test chamber) temperature is 0. 10 deg C. The correspond­ing uncer tainty in relative humidi ty varies from a maximum of 1.2 percent for the high-humidit.y satura ted salt solu tions to 0.2 perccnt for the low­humidity saturated sal t solutions.

5 .3, Comparison of Results With Those of Other L1 vestiga tors

The KBS rcsults are compared with those of other investigators in figures 3 to 10, in which the NBS results are shown as solid-line curves. The resul ts of some worl.,;:ors were reported for a limited tempera­ture range or, occasionally, for only one temperature. Wherever necessary, resul ts that were presented in terms of vapor pressure were converted into relative humidity.

I t is apparent from these figures that there is a cer tain degree of scatter among the values reported by other researchers as well as some disagreement between the NBS resul ts and those values. In general , these 0 th er resul ts fall wi thin a band of values tha t is, on an average, roughly within ± H~­percent relative humidity of thaNBS results. ,

5.4 , Use of Saturated Salt Solutions

ViThen saturated salt solu tions are emplo~'ed for humidit~T control , experience has shown that cer tain preca utions must be observed in order that the

25

tll eoreti cal vflJues n U l,," be used without the need or measuremenl. It is neeessalY Lo encl ose the satu­rated sal t solu t ion in a scaled ·chamber. T he cham­ber and the fixtures therein must be made of non­hygroscopic materials, preferably metal 0 1' glass, else the time required for Illlmidi t,Y eq uil ibri LIm to be achieved may be vel',V great, sometimrs of the order of days or weeks. Th e chamber, sal t solu tio n, and ambient ail' should be brough t to ternpemtul'e equilibrium. It is desirable for th e salt solu t ion to occupy as large a surface area as possible and for some means of air ventila tion or circulation to be provided . In the latter regard, if at all possibl e, the mo tor that drives the fan or blower should be extel'l1al to the chamber. Oth erwise, the hea t dis­sipated by the motor will gradually raise the internal chamber temperature and introduce some unce r­tainty in the equilibrium relative humidi tv. Th e time required for humidity eq uilibrium to be 'reach ed with satura ted salt sol ut ions depend s on seveml factors: (1) the ratio of fre e surface a rea of the solu tion to chamber volume, (2) the amount of air st irring, and (3) the presence of hygroscopic mate­rials. It is conj ectu red lll at agiLat ing the sa turated salt solu tion ma~' increase the raLe at which eq uilib­riumis achi eved.

As ideal conditions arc rarely obtained in p ract ice, it is probable that the theoret iC'al values of relative humidi ty arc seldom reached. In general usc, saturated salt solu tions should not be expecLed to con trol the relative llum idiL \' to closer than abo ut I-percent relative humicii t.\- o'f the theoretical values.

6, References

ri] Arnold Wexler and W. G. Brombachel', Methods of measu ring humidi ty a nd Les t ing hygromete rs, NBS Circu la r 512 (195 1) .

[21 In ternat. ional Cr it ical T ables 1, 68 (M cG rall'-Hill Book Co. , N ew l 'ork, N . Y ., 1927) .

[3] Smi Lhsonian Meteorological T ab les, 6th Revised Edition (1951) .

[41 H. W. Foo te, Blair Saxton, a nd J. D . Dixon, The vapor press ures of saturated aq ueous soluLi olls of certain salts, J. Am. Chem. Soc. 54, 563 ( 1932) .

[51 H . Geneva Leopo ld a nd J oh n J oh ns ton, The vapo r pres­sure of t he sat urated aqueous sol utions of certain sa lts, J. Am. Chem. Soc. 49, 1974 (1927) .

[6] W. Sakai, The s t ud y of urea, 1. The hygroscopic properties of (tlle) double subs tance. The vapor pres­sure of satu rated solu t ion (s) of sa lts, J . Soc. Chem. Ind . Japan , 43, Supp!. b inding 104 (1940) .

[71 J . R. Adams and A. R. Merz, Hygroscop i c i t ~, of fer Lili ze r materi a ls a nd mi xtures, J . I nd . Eng. Chem. 21, 305 (1929).

[81 Rober t Burns, Co ndi tio ni ng of ins ulating materials for test, Bell T elephone S~'s tem M onograph B- 986 (1937). So urce of material not g iven.

[9] F . E. M. O' Brien, J. Sc i. Ins t r., 25 , 73 (1948) . [10] A. Speranski i, The vapor press ure and integral heat of

solu tion of saturated solu tions, Z. ph ysik. Chem. 78, 86 (1912) .

[ll] E. B. R. Prideaux, The del iquescence and drying of am­monium and a lkali nitrates and a theo ry of t he abso rp­t ion of water vapor by mixed sa lts, J. Soc. Chern . Ind . 39, 182- 51' (1920).

[12] G. Edgar a nd W. 0, Swan, Factors determinin g the hygroscopic p roper ties of solu bl e s ubstances, 1. Vapo r press ure of saturated solu t ions, J. Am. Chem . Soc. 44, 570 (1922) .

1

Page 8: Relative humidity-temperature relationships of some …axlmum change 111 reJ~tlve humidity with temperature, al?out 1.5-petcent relative. hlllTIldlty as the temperature 111 creases

[13] R. H . Stokes and R. A. Robinson, Ind. Eng. Chern. 41, 2013 (Sept. 1949).

[14] J. H. van't Hoff, E . F . Armstrong, W. Hinrichsen, F . Weigert, and G. Just, Gips und Anhydrit, Z. physik. Chem. 4,5 , 257 (1903).

{15] A. Speranskii, Vapor pressure of saturated solutions, Z. physik. Chern. 70, 519 (1910).

[16] D. S. Carr and B. L. Harris, Ind. Eng. Chern. 41, 2014 (Sept . 1949).

[17] M . H. Lescoeur, Researches sur la dissociat ion des hydrates salines et des composes analogues, Ann. Chem. Phys. (7) 2, 85 (1894).

[18] I . H. Derby and Victor Yngve, Dissociation tensions of certain hydrated chlorides and the vapor pressures of their saturated solutions, J . Am. Chern. Soc. 38, 1439 (1916).

[19] N. V. Konduirev and G. V. Berezovskii, Vapor press ure of saturated solutions and hydrates of magnesium chloride, J. Gen . Chern. (USSR) 5, 1246 (1935).

26

[20]

[21]

[22]

[23]

Warren W. Ewing, Ernest Klinger, and John D. Brand­ner, Vapor pressure-temperature relations and the heats of hydration, solu t ion and dilution of the bina ry system magnesium nitrate-water , J. Am. Chem. Soc. 56, 1053 (1934).

Ernest F. Johnson, Jr., and Melvin C. Molstad, Ther-modynamic properties of aqueous li t hium chloride solutions. An evaluation of the gas-current method for determination of t hermodynamic properti es of aqueous salt solutions, J . Phys. & Colloid Chern. 55, 257 (1951) .

F. H. Huttig and X. Reuscher, Studien zlir Chemie des Lithiums. 1. Uber die H ydrate des Lithillmchlorids und Lithiumbromids, Z. anorg. Chem. 137, 155 (1924).

Nevzat A. Gokcen, Vapor press ure of water above saturated li t hium chloride solu tion, J. Am. Chem. Soc. 73, 3789 (1951).

WASHINGTON, February 19, 1954.