Saturated steam at an absolute pressure of 5 bar is used to heat a stream of dry air. Air enters a heat exchanger at 0 °C and an absolute pressure of 1 bar and at a rate of 1000 mol/min It is then heated at constant pressure to 100 °C. The steam condenses and leaves the exchanger as a saturated liquid at 54 °C. The specific enthalpy of air at the given pressure i kJ/mol at 0 °C and 3 kJ/mol at 100 °C. a. Draw and completely label the process flow diagram for this system. b. Calculate the volumetric flow rate of air. c. Based on the enthalpies provided, what is the reference state used for air? d. Calculate the energy needed to properly heat the air passing through the exchanger. e. Calculate the mass flow rate of steam supplied to the exchanger. Given: 1 bar = 105 N/m2, R = 0.08314 L bar/mol K, Q = AH, Q = AU, AĤ = AÛ + PAV, table B.6 in kJ/kg and m/kg.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Using the table 

TABLE B.6 Properties of Saturated Steam: Pressure Table
V(m³/kg)
Û (kJ/kg)
Ĥ (kJ/kg)
P(bar)
T(°C)
Water
Steam
Water
Steam
Water
Evaporation
Steam
0.001000
0.001000
2375.6
2380.7
+0.0
15.8
0.00611
2501.6
0.01
3.8
206.2
159.7
zero
2501.6
0.008
15.8
2492.6
2508.5
2485.0
2478.7
2473.2
0.010
7.0
0.001000
129.2
2385.2
2514.4
29.3
40.6
50.3
29.3
0.012
9.7
0.001000
108.7
2388.9
40.6
2519.3
12.0
93.9
2392.0
2394.8
2397.4
0.014
0.001000
50.3
2523.5
0.016
0.018
14.0
0.001001
82.8
58.9
58.9
2468.4
2527.3
15.9
0.001001
74.0
66.5
66.5
2464.1
2530.6
0.020
0.022
0.024
0.026
17.5
0.001001
67.0
73.5
2399.6
2401.7
2403.6
73.5
2460.2
2533.6
61.2
56.4
19.0
0.001002
79.8
79.8
2456.6
2536.4
20.4
0.001002
85.7
85.7
2453.3
2539.0
21.7
0.001002
52.3
91.1
2405.4
91.1
2450.2
2541.3
0.028
23.0
0.001002
48.7
96.2
2407.1
96.2
2447.3
2543.6
0.030
0.035
0.001003
101.0
111.8
2408.6
2412.2
2415.3
101.0
111.8
2545.6
2550.4
24.1
45.7
2444.6
39.5
2438.5
2433.1
26.7
0.001003
0.040
29.0
0.001004
34.8
121.4
121.4
2554.5
0.045
0.050
130.0
137.8
2428.2
2423.8
31.0
0.001005
31.1
130.0
2418.1
2558.2
32.9
0.001005
28.2
137.8
2420.6
2561.6
0.060
0.070
0.080
151.5
163.4
151.5
163.4
173.9
183.3
36.2
0.001006
23.74
2425.1
2416.0
2567.5
2409.2
39.0
41.5
43.8
0.001007
0.001008
0.001009
20.53
2428.9
2572.6
18.10
16.20
2432.3
2435.3
2438.0
173.9
2403.2
2397.9
2577.1
0.090
183.3
191.8
2581.1
0.10
45.8
0.001010
14.67
191.8
2392.9
2584.8
0.11
47.7
0.001011
13.42
199.7
2440.5
199.7
2388.4
49.4
51.1
52.6
2588.1
2591.2
2594.0
2596.7
206.9
213.7
0.12
0.001012
12.36
2442.8
206.9
2384.3
0.13
0.001013
11.47
2445.0
213.7
2380.4
0.14
0.001013
10.69
220.0
2447.0
220.0
2376.7
Appendix B Physical Property Tables 645
10.02
9.43
8.91
8.45
8.03
226.0
231.6
236.9
0.15
54.0
0.001014
2448.9
226.0
2373.2
2599.2
0.16
55.3
0.001015
2450.6
231.6
2370.0
2601.6
56.6
0.001015
2452.3
2453.9
2366.9
2603.8
0.17
0.18
236.9
57.8
0.001016
242.0
242.0
2363.9
2605.9
0.19
59.0
0.001017
246.8
2455.4
246.8
2361.1
2607.9
0.001017
0.001018
0.001019
251.5
260.1
268.2
251.5
260.1
268.2
0.20
60.1
2358.4
7.65
7.00
2456.9
2609.9
2459.6
2462.1
2353.3
2348.6
2613.5
2616.8
0.22
62.2
0.24
64.1
6.45
0.26
65.9
0.001020
5.98
275.6
2464.4
275.7
2344.2
2619.9
0.28
67.5
0.001021
5.58
282.7
2466.5
282.7
2340.0
2622.7
5.23
4.53
0.30
0.001022
2336.1
2327.2
69.1
289.3
2468.6
289.3
2625.4
0.35
72.7
0.001025
304.3
2473.1
304.3
2631.5
75.9
3.99
317.6
2477.1
317.7
2319.2
2636.9
2641.7
2646.0
0.40
0.001027
0.001028
0.45
0.50
78.7
81.3
329.6
2312.0
2305.4
3.58
2480.7
329.6
0.001030
3.24
340.5
2484.0
340.6
350.6
359.9
0.55
83.7
0.001032
2649.9
2.96
2.73
2.53
350.6
359.9
2486.9
2299.3
86.0
88.0
2489.7
2492.2
0.60
0.001033
0.001035
2293.6
2288.3
2283.3
2653.6
0.65
368.5
368.6
2656.9
0.001036
0.001037
0.70
90.0
2.36
376.7
2494.5
376.8
2660.1
0.75
91.8
2.22
384.4
2496.7
384.5
2278.6
2663.0
0.001039
0.001040
0.80
2.087
391.6
2498.8
2500.8
93.5
391.7
398.6
405.2
2274.1
2665.8
0.85
95.2
1.972
398.5
2269.8
2668.4
0.90
96.7
0.001041
1.869
405.1
2502.6
2265.6
2670.9
2673.2
2261.7
2257.9
0.95
98.2
0.001042
1.777
411.4
2504.4
411.5
1.00
1.01325
(1 atm)
99.6
0.001043
1.694
417.4
2506.1
417.5
2675.4
100.0
0.001044
1.673
419.0
2506.5
419.1
2256.9
2676.0
Transcribed Image Text:TABLE B.6 Properties of Saturated Steam: Pressure Table V(m³/kg) Û (kJ/kg) Ĥ (kJ/kg) P(bar) T(°C) Water Steam Water Steam Water Evaporation Steam 0.001000 0.001000 2375.6 2380.7 +0.0 15.8 0.00611 2501.6 0.01 3.8 206.2 159.7 zero 2501.6 0.008 15.8 2492.6 2508.5 2485.0 2478.7 2473.2 0.010 7.0 0.001000 129.2 2385.2 2514.4 29.3 40.6 50.3 29.3 0.012 9.7 0.001000 108.7 2388.9 40.6 2519.3 12.0 93.9 2392.0 2394.8 2397.4 0.014 0.001000 50.3 2523.5 0.016 0.018 14.0 0.001001 82.8 58.9 58.9 2468.4 2527.3 15.9 0.001001 74.0 66.5 66.5 2464.1 2530.6 0.020 0.022 0.024 0.026 17.5 0.001001 67.0 73.5 2399.6 2401.7 2403.6 73.5 2460.2 2533.6 61.2 56.4 19.0 0.001002 79.8 79.8 2456.6 2536.4 20.4 0.001002 85.7 85.7 2453.3 2539.0 21.7 0.001002 52.3 91.1 2405.4 91.1 2450.2 2541.3 0.028 23.0 0.001002 48.7 96.2 2407.1 96.2 2447.3 2543.6 0.030 0.035 0.001003 101.0 111.8 2408.6 2412.2 2415.3 101.0 111.8 2545.6 2550.4 24.1 45.7 2444.6 39.5 2438.5 2433.1 26.7 0.001003 0.040 29.0 0.001004 34.8 121.4 121.4 2554.5 0.045 0.050 130.0 137.8 2428.2 2423.8 31.0 0.001005 31.1 130.0 2418.1 2558.2 32.9 0.001005 28.2 137.8 2420.6 2561.6 0.060 0.070 0.080 151.5 163.4 151.5 163.4 173.9 183.3 36.2 0.001006 23.74 2425.1 2416.0 2567.5 2409.2 39.0 41.5 43.8 0.001007 0.001008 0.001009 20.53 2428.9 2572.6 18.10 16.20 2432.3 2435.3 2438.0 173.9 2403.2 2397.9 2577.1 0.090 183.3 191.8 2581.1 0.10 45.8 0.001010 14.67 191.8 2392.9 2584.8 0.11 47.7 0.001011 13.42 199.7 2440.5 199.7 2388.4 49.4 51.1 52.6 2588.1 2591.2 2594.0 2596.7 206.9 213.7 0.12 0.001012 12.36 2442.8 206.9 2384.3 0.13 0.001013 11.47 2445.0 213.7 2380.4 0.14 0.001013 10.69 220.0 2447.0 220.0 2376.7 Appendix B Physical Property Tables 645 10.02 9.43 8.91 8.45 8.03 226.0 231.6 236.9 0.15 54.0 0.001014 2448.9 226.0 2373.2 2599.2 0.16 55.3 0.001015 2450.6 231.6 2370.0 2601.6 56.6 0.001015 2452.3 2453.9 2366.9 2603.8 0.17 0.18 236.9 57.8 0.001016 242.0 242.0 2363.9 2605.9 0.19 59.0 0.001017 246.8 2455.4 246.8 2361.1 2607.9 0.001017 0.001018 0.001019 251.5 260.1 268.2 251.5 260.1 268.2 0.20 60.1 2358.4 7.65 7.00 2456.9 2609.9 2459.6 2462.1 2353.3 2348.6 2613.5 2616.8 0.22 62.2 0.24 64.1 6.45 0.26 65.9 0.001020 5.98 275.6 2464.4 275.7 2344.2 2619.9 0.28 67.5 0.001021 5.58 282.7 2466.5 282.7 2340.0 2622.7 5.23 4.53 0.30 0.001022 2336.1 2327.2 69.1 289.3 2468.6 289.3 2625.4 0.35 72.7 0.001025 304.3 2473.1 304.3 2631.5 75.9 3.99 317.6 2477.1 317.7 2319.2 2636.9 2641.7 2646.0 0.40 0.001027 0.001028 0.45 0.50 78.7 81.3 329.6 2312.0 2305.4 3.58 2480.7 329.6 0.001030 3.24 340.5 2484.0 340.6 350.6 359.9 0.55 83.7 0.001032 2649.9 2.96 2.73 2.53 350.6 359.9 2486.9 2299.3 86.0 88.0 2489.7 2492.2 0.60 0.001033 0.001035 2293.6 2288.3 2283.3 2653.6 0.65 368.5 368.6 2656.9 0.001036 0.001037 0.70 90.0 2.36 376.7 2494.5 376.8 2660.1 0.75 91.8 2.22 384.4 2496.7 384.5 2278.6 2663.0 0.001039 0.001040 0.80 2.087 391.6 2498.8 2500.8 93.5 391.7 398.6 405.2 2274.1 2665.8 0.85 95.2 1.972 398.5 2269.8 2668.4 0.90 96.7 0.001041 1.869 405.1 2502.6 2265.6 2670.9 2673.2 2261.7 2257.9 0.95 98.2 0.001042 1.777 411.4 2504.4 411.5 1.00 1.01325 (1 atm) 99.6 0.001043 1.694 417.4 2506.1 417.5 2675.4 100.0 0.001044 1.673 419.0 2506.5 419.1 2256.9 2676.0
Saturated steam at an absolute pressure of 5 bar is used to heat a stream of dry air. Air enters a heat exchanger at 0 °C and an absolute pressure of 1 bar and at a rate of 1000 mol/min.
It is then heated at constant pressure to 100 °C. The steam condenses and leaves the exchanger as a saturated liquid at 54 °C. The specific enthalpy of air at the given pressure is 0
kJ/mol at 0 °C and 3 kJ/mol at 100 °C.
a. Draw and completely label the process flow diagram for this system.
b. Calculate the volumetric flow rate of air.
c. Based on the enthalpies provided, what is the reference state used for air?
d. Calculate the energy needed to properly heat the air passing through the exchanger.
e. Calculate the mass flow rate of steam supplied to the exchanger.
%3D
Given: 1 bar = 105 N/m2, R = 0.08314 L bar/mol K, Q = AH, Q = AU, AĤ = AÛ + PAÑ, table B.6 in kJ/kg and m /kg.
%3D
%3D
Transcribed Image Text:Saturated steam at an absolute pressure of 5 bar is used to heat a stream of dry air. Air enters a heat exchanger at 0 °C and an absolute pressure of 1 bar and at a rate of 1000 mol/min. It is then heated at constant pressure to 100 °C. The steam condenses and leaves the exchanger as a saturated liquid at 54 °C. The specific enthalpy of air at the given pressure is 0 kJ/mol at 0 °C and 3 kJ/mol at 100 °C. a. Draw and completely label the process flow diagram for this system. b. Calculate the volumetric flow rate of air. c. Based on the enthalpies provided, what is the reference state used for air? d. Calculate the energy needed to properly heat the air passing through the exchanger. e. Calculate the mass flow rate of steam supplied to the exchanger. %3D Given: 1 bar = 105 N/m2, R = 0.08314 L bar/mol K, Q = AH, Q = AU, AĤ = AÛ + PAÑ, table B.6 in kJ/kg and m /kg. %3D %3D
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