instructions - weeklyjoys · ashrae psychrometric chart no.1 normal temperature barometric...
TRANSCRIPT
CE311 Fall 2016 Mid-Term Exam 1 Name: __________________________________
! 1/6
Instructions
1.! Please solve the problems using the specified SI or IP system of units.
2.! Please show all of your calculations to get full credit and pay attention to assumptions.
3.! Neatly mark points and outline processes on the ASHRAE SI or IP psychrometric chart. �
4.! Final solutions should be clearly summarized and marked/boxed. � 5.! Use only the attached equation sheet.
6.! Please attach additional pages of your work, clearly marking each problem.
Problem 1 (5/100pts)
Moist air exists at 85°F dry-bulb temperature, 40% relative humidity, and a total pressure of 1 atm. Use the psychrometric chart to determine the following values (with units, neatly mark points on chart):
(a)!Dew-point temperature (1pt)
(b)!Wet-bulb temperature (1pt)
(c)! Humidity ratio (1pt)
(d)!Mixture enthalpy (1pt)
(e)! Specific volume (1pt)
Problem 2 (2.5/100pts)
Would you recommend an evaporative cooling system for use in the summer in Florida? In Arizona?
Briefly explain why.
CE311 Fall 2016 Mid-Term Exam 1 Name: __________________________________
! 2/6
Problem 3 (2.5/100pts)
It’s February here in West Lafayette, Indiana. Describe how you would condition the outdoor air in an
air handling unit (AHU) of a building in order to meet the thermal comfort preferences of the occupants.
Please list the AHU components you would use and neatly illustrate the process on the psychrometric
chart to the right.
Problem 4 (2.5/100pts)
Briefly explain Dalton’s Law of Partial Pressures (Dalton’s Model) through both words and equation(s).
Problem 5 (2.5/100pts)
What is the difference between the humidity ratio and relative humidity? Explain their relationship to
temperature.
CE311 Fall 2016 Mid-Term Exam 1 Name: __________________________________
! 3/6
Problem 6 (20/100pts)
It’s winter and you’re in a large classroom with a volume 150 m3 at a dry-bulb temperature of 22°C, a total pressure of 96 kPa, and a relative humidity of 45%. Determine:
(a) Humidity ratio (5pts)
(b) Mass of dry air in the room (5pts)
(c) Mass of water vapor in the room (5pts)
(d) Will condensation occur on a window with a surface temperature of 2°C? (5pts)
CE311 Fall 2016 Mid-Term Exam 1 Name: __________________________________
4/6
Problem 7 (35/100pts)
An AHU is operating to heat and humidify the outdoor air before it is supplied to a room. The air first
passes over a pre-heat coil, then through an evaporative cooler, and finally, a re-heat coil. The pre-heat
coil is used to prevent the water in the evaporative cooler from freezing. The air flows through a perfectly
insulated rectangular galvanized steel duct of 40cm by 30cm.
Conditions:
Total pressure of 1atm at all points.
Point 1: Dry-bulb temperature of 8°C, relative humidity of 75%, velocity of 30 m/s. Point 3: Relative humidity of 90%.
Point 4: Dry-bulb temperature of 23°C, relative humidity of 50%.
Determine:
(a) Neatly sketch the process on a psychrometric chart and label all points (5pts)
(b) The amount of heat added by the pre-heat (10pts) and re-heat coils (10pts). What is the ratio of the
heat added by the pre-heat coil to the re-heat coil (4pts)?
(c) The rate at which water is added in the evaporative cooler (6pts) (!")
CE311 Fall 2016 Mid-Term Exam 1 Name: __________________________________
! 5/6
Problem 8 (30/100pts)
It’s Dubai in July. You need to provide cool air to occupants in a building. First, you adiabatically mix
outdoor air with recirculation air. The mixed air stream is then cooled and dehumidified, followed by
re-heat, before it is supplied to occupied spaces.
Conditions:
Total pressure of 1atm at all points.
Outdoor air: dry-bulb temperature of 44°C, relative humidity of 50%, and mass flow rate is !$% = 400 kg dry air/min.
Recirculation air: wet-bulb temperature of 19°C, specific volume of 0.8675 m3/kg dry air, and mass flow rate, !$&, is 33% greater than !$%.
Supply air: dry-bulb temperature of 20°C, relative humidity of 50%.
Collected condensate: temperature of 8°C.
(a)!Draw a schematic of an AHU for this process. Label each point and the components (5pts)
(d)!Neatly sketch the process on a psychrometric chart and label all points (5pts)
(b)!Determine the heat removed by the cooling coil (7.5pts) and heat added by the re-heat coil (7.5pts).
CE311 Fall 2016 Mid-Term Exam 1 Name: __________________________________
! 6/6
(c)! Determine the amount of water removed from the air during the cooling and dehumidification
process as kg water/kg dry air (5pts)
!" =$"$ !
!":&'()*+,-./0'$!$": $1&2),*'+*&'()3*'+*.'&4'$)$/*5-3*0* &'( !$: /'/-(*$1&2),*'+*&'()3*'+*&06/1,)* &'( !!
7" =&"$"
!
789:*;"9 = 28.97!7A;BC9*D;EF9 = 18.02!I = 8.314!
I" =I7"
!
7":&'().1(-,*L)05ℎ/*'+*5-3*0*(5/&'()!&":&-33*'+*5-3*0*(5)!789:*;"9 = &'().1(-,*L)05ℎ/*'+*Q,!*-0,*(g/mol)!7A;BC9*D;EF9 = &'().1(-,*L)05ℎ/*'+*L-/),*(g/mol)!I: 1$0V),3-(*5-3*.'$3/-$/*(WX/W&'( − Z)!I" = 5-3*.'$3/-$/*'+*5-3*0!!
!
ideal*gas*equation*of*state:!PV = nIg!
T: temperature*!V: volume! !P: pressure! !
ω = &D&;
!
ω = 0.622 nDn;!
φ = nDnp!
φ = qn(0.622 + q)np
!
ω: humidity*ratio! (e.g.!kg!wv/kg!da)!&D:mass*of*water*vapor! !&;:mass*of*dry*air! !nD: partial*pressure*of*water*vapor!n;: partial*pressure*of*dry*air! !φ: relative*humidity! (-)!np: saturation*vapor*pressure! !!
h = ℎ; + qℎD! h:moist*air*mixture*enthalpy*(kJ/kg*dry*air)!ℎ;: )$/ℎ-(4!*'+*Q,!*-0,*(kJ/kg*dry*air)!ℎD: )$/ℎ-(4!*'+*L-/),*V-4',*(kJ/kg*water*vapor)!
!conservation*of*mass:!
&; ="
&;C
!
&D +"
&A"
= &D +C
&AC
!
e:*exit*******i: inlet!&;:&-33*+('L*,-/)*'+*Q,!*-0,*(W5*Q,!*-0,/&0$)!&D:&-33*+('L*,-/)*'+*L-/),*V-4',*(W5*L-/),*V-4',/&0$)!&A:&-33*+('L*,-/)*'+*(0z10Q*L-/),*(W5*(0z10Q*L-/),/&0$)!!
conservation*of*energy:!
{ −| = &CℎC −C
&}ℎ}"
!
!
!
RR
ASHR
AE P
SYCH
ROM
ETRI
C CH
ART
NO.1
NORM
AL T
EMPE
RATU
REBA
ROM
ETRI
C PR
ESSU
RE: 2
9.92
1 IN
CHES
OF
MER
CURY
Copy
right
199
2AM
ERIC
AN S
OCI
ETY
OF
HEAT
ING
, REF
RIG
ERAT
ING
AND
AIR
-CO
NDIT
IONI
NG E
NGIN
EERS
, INC
.
SEA
LEVE
L
1015
2025
303540455055
55
60
60
EN
THA
LPY
- B
TU P
ER
PO
UN
D O
F D
RY
AIR
15
20
25
30
35
40
45
50
ENTHALPY - B
TU PER POUND OF D
RY AIR
SATURATION TEMPERATURE - °
F
35
40
45
50
55
60
65
70
75
80
85
90
95
100
105
110
115
120
DRY BULB TEMPERATURE - °F
.002
.004
.006
.008
.010
.012
.014
.016
.018
.020
.022
.024
.026
.028
10%
REL
ATIV
E H
UM
IDIT
Y
20%
30%
40%
50%
60%
70%
80%
90%
35
3540
4045
4550
5055
5560
6065
65
70
70
75
75
80
80
85 W
ET B
ULB
TEM
PERA
TURE
- °F
85
90
12.5
13.0
13.5
14.0 VOLUME- CU.FT. PER LB. DRY AIR
14.5
15.0
HUMIDITY RATIO - POUNDS MOISTURE PER POUND DRY AIR
0
1.0
1.0
:-
2.0
4.0
8.0
-8.0
-4.0
-2.0-1.0
-0.5-0.4
-0.3
-0.2
-0.1
0.1
0.2
0.3
0.4
0.5
0.6
0.8
-200
0-1
000
0
500
1000
1500
2000 3000
5000
- ::
SENS
IBLE
HEA
TQ
sTO
TAL
HEAT
Qt
ENTH
ALPY
HUM
IDIT
Y RA
TIO
Dh
DW
RR
ASHR
AE P
SYCH
ROM
ETRI
C CH
ART
NO.1
NORM
AL T
EMPE
RATU
REBA
ROM
ETRI
C PR
ESSU
RE: 2
9.92
1 IN
CHES
OF
MER
CURY
Copy
right
199
2AM
ERIC
AN S
OCI
ETY
OF
HEAT
ING
, REF
RIG
ERAT
ING
AND
AIR
-CO
NDIT
IONI
NG E
NGIN
EERS
, INC
.
SEA
LEVE
L
RR
ASHR
AE P
SYCH
ROM
ETRI
C CH
ART
NO.1
NORM
AL T
EMPE
RATU
REBA
ROM
ETRI
C PR
ESSU
RE: 2
9.92
1 IN
CHES
OF
MER
CURY
Copy
right
199
2AM
ERIC
AN S
OCI
ETY
OF
HEAT
ING
, REF
RIG
ERAT
ING
AND
AIR
-CO
NDIT
IONI
NG E
NGIN
EERS
, INC
.
SEA
LEVE
L
1015
2025
303540455055
55
60
60
EN
THA
LPY
- B
TU P
ER
PO
UN
D O
F D
RY
AIR
15
20
25
30
35
40
45
50
ENTHALPY - B
TU PER POUND OF D
RY AIR
SATURATION TEMPERATURE - °
F
35
40
45
50
55
60
65
70
75
80
85
90
95
100
105
110
115
120
DRY BULB TEMPERATURE - °F
.002
.004
.006
.008
.010
.012
.014
.016
.018
.020
.022
.024
.026
.028
10%
REL
ATIV
E H
UM
IDIT
Y
20%
30%
40%
50%
60%
70%
80%
90%
35
3540
4045
4550
5055
5560
6065
65
70
70
75
75
80
80
85 W
ET B
ULB
TEM
PERA
TURE
- °F
85
90
12.5
13.0
13.5
14.0 VOLUME- CU.FT. PER LB. DRY AIR
14.5
15.0
HUMIDITY RATIO - POUNDS MOISTURE PER POUND DRY AIR
0
1.0
1.0
:-
2.0
4.0
8.0
-8.0
-4.0
-2.0-1.0
-0.5-0.4
-0.3
-0.2
-0.1
0.1
0.2
0.3
0.4
0.5
0.6
0.8
-200
0-1
000
0
500
1000
1500
2000 3000
5000
- ::
SENS
IBLE
HEA
TQ
sTO
TAL
HEAT
Qt
ENTH
ALPY
HUM
IDIT
Y RA
TIO
Dh
DW
RR
ASHR
AE P
SYCH
ROM
ETRI
C CH
ART
NO.1
NORM
AL T
EMPE
RATU
REBA
ROM
ETRI
C PR
ESSU
RE: 2
9.92
1 IN
CHES
OF
MER
CURY
Copy
right
199
2AM
ERIC
AN S
OCI
ETY
OF
HEAT
ING
, REF
RIG
ERAT
ING
AND
AIR
-CO
NDIT
IONI
NG E
NGIN
EERS
, INC
.
SEA
LEVE
L
RR
ASHR
AE P
SYCH
ROM
ETRI
C CH
ART
NO.1
NORM
AL T
EMPE
RATU
REBA
ROM
ETRI
C PR
ESSU
RE: 1
01.3
25 k
PaCo
pyrig
ht 1
992
AMER
ICAN
SO
CIET
Y O
F HE
ATIN
G, R
EFRI
GER
ATIN
G A
ND A
IR-C
OND
ITIO
NING
ENG
INEE
RS, I
NC.
SEA
LEVE
L
1020
3040
5060708090100
110
110
120
120 E
NTH
ALP
Y -
KJ
PE
R K
ILO
GR
AM
OF
DR
Y A
IR
10
20
30
40
50
60
70
80
90
100
ENTHALPY - K
J PER KILO
GRAM OF D
RY AIR
SATURATION TEMPERATURE - °
C
5
10
15
20
25
30
35
40
45
50
DRY BULB TEMPERATURE - °C
.001
.002
.003
.004
.005
.006
.007
.008
.009
.010
.011
.012
.013
.014
.015
.016
.017
.018
.019
.020
.021
.022
.023
.024
.025
.026
.027
.028
.029
.030
10%
REL
ATIV
E H
UM
IDIT
Y
20%
30%
40%
50%
60%
70%
80%
90%
5
5
10
10
15
15
20
20
25
25
30 W
ET B
ULB
TEM
PERA
TURE
- °C
30
0.78
0.80
0.82
0.84
0.86 VOLUME - CUBIC METER PER KG DRY AIR
0.88
0.90
0.92
0.94
HUMIDITY RATIO - KILOGRAMS MOISTURE PER KILOGRAM DRY AIR
0
1.0
1.0
:-
1.5
2.0
4.0
-4.0
-2.0-1.0
-0.5
-0.2
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
-5.0
-2.0
0.0
1.0
2.0
2.5
3.0
4.0
5.0
10.0
- ::
SENS
IBLE
HEA
TQ
sTO
TAL
HEAT
Qt
ENTH
ALPY
HUM
IDIT
Y RA
TIO
Dh
DW
RR
ASHR
AE P
SYCH
ROM
ETRI
C CH
ART
NO.1
NORM
AL T
EMPE
RATU
REBA
ROM
ETRI
C PR
ESSU
RE: 1
01.3
25 k
PaCo
pyrig
ht 1
992
AMER
ICAN
SO
CIET
Y O
F HE
ATIN
G, R
EFRI
GER
ATIN
G A
ND A
IR-C
OND
ITIO
NING
ENG
INEE
RS, I
NC.
SEA
LEVE
L
RR
ASHR
AE P
SYCH
ROM
ETRI
C CH
ART
NO.1
NORM
AL T
EMPE
RATU
REBA
ROM
ETRI
C PR
ESSU
RE: 1
01.3
25 k
PaCo
pyrig
ht 1
992
AMER
ICAN
SO
CIET
Y O
F HE
ATIN
G, R
EFRI
GER
ATIN
G A
ND A
IR-C
OND
ITIO
NING
ENG
INEE
RS, I
NC.
SEA
LEVE
L
1020
3040
5060708090100
110
110
120
120 E
NTH
ALP
Y -
KJ
PE
R K
ILO
GR
AM
OF
DR
Y A
IR
10
20
30
40
50
60
70
80
90
100
ENTHALPY - K
J PER KILO
GRAM OF D
RY AIR
SATURATION TEMPERATURE - °
C
5
10
15
20
25
30
35
40
45
50
DRY BULB TEMPERATURE - °C
.001
.002
.003
.004
.005
.006
.007
.008
.009
.010
.011
.012
.013
.014
.015
.016
.017
.018
.019
.020
.021
.022
.023
.024
.025
.026
.027
.028
.029
.030
10%
REL
ATIV
E H
UM
IDIT
Y
20%
30%
40%
50%
60%
70%
80%
90%
5
5
10
10
15
15
20
20
25
25
30 W
ET B
ULB
TEM
PERA
TURE
- °C
30
0.78
0.80
0.82
0.84
0.86 VOLUME - CUBIC METER PER KG DRY AIR
0.88
0.90
0.92
0.94
HUMIDITY RATIO - KILOGRAMS MOISTURE PER KILOGRAM DRY AIR
0
1.0
1.0
:-
1.5
2.0
4.0
-4.0
-2.0-1.0
-0.5
-0.2
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
-5.0
-2.0
0.0
1.0
2.0
2.5
3.0
4.0
5.0
10.0
- ::
SENS
IBLE
HEA
TQ
sTO
TAL
HEAT
Qt
ENTH
ALPY
HUM
IDIT
Y RA
TIO
Dh
DW
RR
ASHR
AE P
SYCH
ROM
ETRI
C CH
ART
NO.1
NORM
AL T
EMPE
RATU
REBA
ROM
ETRI
C PR
ESSU
RE: 1
01.3
25 k
PaCo
pyrig
ht 1
992
AMER
ICAN
SO
CIET
Y O
F HE
ATIN
G, R
EFRI
GER
ATIN
G A
ND A
IR-C
OND
ITIO
NING
ENG
INEE
RS, I
NC.
SEA
LEVE
L
RR
ASHR
AE P
SYCH
ROM
ETRI
C CH
ART
NO.1
NORM
AL T
EMPE
RATU
REBA
ROM
ETRI
C PR
ESSU
RE: 1
01.3
25 k
PaCo
pyrig
ht 1
992
AMER
ICAN
SO
CIET
Y O
F HE
ATIN
G, R
EFRI
GER
ATIN
G A
ND A
IR-C
OND
ITIO
NING
ENG
INEE
RS, I
NC.
SEA
LEVE
L
1020
3040
5060708090100
110
110
120
120 E
NTH
ALP
Y -
KJ
PE
R K
ILO
GR
AM
OF
DR
Y A
IR
10
20
30
40
50
60
70
80
90
100
ENTHALPY - K
J PER KILO
GRAM OF D
RY AIR
SATURATION TEMPERATURE - °
C
5
10
15
20
25
30
35
40
45
50
DRY BULB TEMPERATURE - °C
.001
.002
.003
.004
.005
.006
.007
.008
.009
.010
.011
.012
.013
.014
.015
.016
.017
.018
.019
.020
.021
.022
.023
.024
.025
.026
.027
.028
.029
.030
10%
REL
ATIV
E H
UM
IDIT
Y
20%
30%
40%
50%
60%
70%
80%
90%
5
5
10
10
15
15
20
20
25
25
30 W
ET B
ULB
TEM
PERA
TURE
- °C
30
0.78
0.80
0.82
0.84
0.86 VOLUME - CUBIC METER PER KG DRY AIR
0.88
0.90
0.92
0.94
HUMIDITY RATIO - KILOGRAMS MOISTURE PER KILOGRAM DRY AIR
0
1.0
1.0
:-
1.5
2.0
4.0
-4.0
-2.0-1.0
-0.5
-0.2
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
-5.0
-2.0
0.0
1.0
2.0
2.5
3.0
4.0
5.0
10.0
- ::
SENS
IBLE
HEA
TQ
sTO
TAL
HEAT
Qt
ENTH
ALPY
HUM
IDIT
Y RA
TIO
Dh
DW
RR
ASHR
AE P
SYCH
ROM
ETRI
C CH
ART
NO.1
NORM
AL T
EMPE
RATU
REBA
ROM
ETRI
C PR
ESSU
RE: 1
01.3
25 k
PaCo
pyrig
ht 1
992
AMER
ICAN
SO
CIET
Y O
F HE
ATIN
G, R
EFRI
GER
ATIN
G A
ND A
IR-C
OND
ITIO
NING
ENG
INEE
RS, I
NC.
SEA
LEVE
L
RR
ASHR
AE P
SYCH
ROM
ETRI
C CH
ART
NO.1
NORM
AL T
EMPE
RATU
REBA
ROM
ETRI
C PR
ESSU
RE: 1
01.3
25 k
PaCo
pyrig
ht 1
992
AMER
ICAN
SO
CIET
Y O
F HE
ATIN
G, R
EFRI
GER
ATIN
G A
ND A
IR-C
OND
ITIO
NING
ENG
INEE
RS, I
NC.
SEA
LEVE
L
1020
3040
5060708090100
110
110
120
120 E
NTH
ALP
Y -
KJ
PE
R K
ILO
GR
AM
OF
DR
Y A
IR
10
20
30
40
50
60
70
80
90
100
ENTHALPY - K
J PER KILO
GRAM OF D
RY AIR
SATURATION TEMPERATURE - °
C
5
10
15
20
25
30
35
40
45
50
DRY BULB TEMPERATURE - °C
.001
.002
.003
.004
.005
.006
.007
.008
.009
.010
.011
.012
.013
.014
.015
.016
.017
.018
.019
.020
.021
.022
.023
.024
.025
.026
.027
.028
.029
.030
10%
REL
ATIV
E H
UM
IDIT
Y
20%
30%
40%
50%
60%
70%
80%
90%
5
5
10
10
15
15
20
20
25
25
30 W
ET B
ULB
TEM
PERA
TURE
- °C
30
0.78
0.80
0.82
0.84
0.86 VOLUME - CUBIC METER PER KG DRY AIR
0.88
0.90
0.92
0.94
HUMIDITY RATIO - KILOGRAMS MOISTURE PER KILOGRAM DRY AIR
0
1.0
1.0
:-
1.5
2.0
4.0
-4.0
-2.0-1.0
-0.5
-0.2
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
-5.0
-2.0
0.0
1.0
2.0
2.5
3.0
4.0
5.0
10.0
- ::
SENS
IBLE
HEA
TQ
sTO
TAL
HEAT
Qt
ENTH
ALPY
HUM
IDIT
Y RA
TIO
Dh
DW
RR
ASHR
AE P
SYCH
ROM
ETRI
C CH
ART
NO.1
NORM
AL T
EMPE
RATU
REBA
ROM
ETRI
C PR
ESSU
RE: 1
01.3
25 k
PaCo
pyrig
ht 1
992
AMER
ICAN
SO
CIET
Y O
F HE
ATIN
G, R
EFRI
GER
ATIN
G A
ND A
IR-C
OND
ITIO
NING
ENG
INEE
RS, I
NC.
SEA
LEVE
L