ycle uses air as a working substance and during the Isothermal expansion stroke, the pressure goes from 2 MPa to 1 MPa and it has a temperature of 500 K. The temperature at Isothermal compression stroke is 350 K. Find Qa, Qr, Wnet, and the efficiency. (99.49 kJ/kg, 69.65 kJ/kg, 29.85 kJ/kg, 30.00%) Use the Steam tables provided if necessary.

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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A Carnot Cycle uses air as a working substance and during the Isothermal expansion stroke, the pressure goes from 2 MPa to 1 MPa and it has a temperature of 500 K. The temperature at Isothermal compression stroke is 350 K. Find Qa, Qr, Wnet, and the efficiency. (99.49 kJ/kg, 69.65 kJ/kg, 29.85 kJ/kg, 30.00%)

Use the Steam tables provided if necessary. 

Specific Volume
Sat.
Sat.
Vaper
Liquid
10'v,
10v,
Internal Energy
Sal.
Liquid
Enthalpy
Entropy
Temp
Prems
MP
Sat.
Vapor
Sat.
Liquid
Sat.
Vapor
Sat.
Liquid
Sat.
Vapor
Evap
Evap
he
Evap.
t.
u,
h.
Sy
271.90 2191.2 2463.1
275.58 2188,7 2464.2
279.14 2186.2 2465.3
282.60 2183.8 2466.4
285.95 2181 5 2467.4
271.93 2346.3 2618.2
275.61 2344.1 2619.7
279.17 2342.0 2621.2
282.62 2340.0 2622.6
285.98 2338.0 2624.0
.8931 6.9383 7.8314
9040 6.9139 7.8179
9145 6.8904 7.8049
9246 6.8678 7.7924
.9344 6.8459 7.7803
64.97
1.0199
025
026
027
.028
029
6204.
5980.
5772
5579.
5398.
65.85
1.0204
66.70 - 1.0209
67.53
1.0214
68.33
1.0218
030
032
034
036
.038
5229
4922.
650.
4408
4190.
289.20 2179.2 2468.4
295.45 2174.9 2470.3
301.37 2170.8 2472.1
307.01 2166.8 2473.8
312.39 2163.1 2475.5
289.23 2336.1 2625.3
295.48 2332.4 2627.8
301.40 2328.8 2630.2
307.05 2325.5 2632.5
312.43 2322.3 2634.7
9439 6.8247 7.7686
9622 6.7843 7.1465
9793 6,7463 7,7257
9956 6.7104 7.7061
1.0111 6.6764 7.6876
69.10
1.0223
70.60
1.0232
72.01 1,0241
73,36
1.0249
74.64
1.0257
75.87 1.0265
1.0272
1.0279 3652.
1.0286
1.0293
317.53 2159.5 2477.0
322.47 2156.0 2478.5
327.22 2152.7 2479.9
331.78 2149,5 2481.3
336.19 2146.4 2482.6
317.58 2319.2 2636.8
322.51 2316.2 2638.7
327.26 2313.4 2640.6
331,83 2310.6 2642.5
336.23 2308.0 2644.2
1.0259 6.6441 7.6700
1.0400 6.6133 7.6534
1.0536 6.5839 7.6375
1.0666 6.5558 7.6223
1.0790 6.5288 7.6078
3993.
3815.
040
042
044
046
048
77.05
78.18
79.27
80.32
3503.
3367.
050
055
.060
665
.070
81.33
83.72
85.94
88.01
89.95
1.0300
1.0316
1.0331
1.0346
1.0360
3240.
2964.
2732
2535.
2365.
340.44 2143.4 2483.9
350.48 2136.4 2486.8
359.79 2129.8 2489.6
368.48 2123.6 2492.1
376.63 2117.8 2494.5
340.49 2305.4 2645.9
350.54 2299.3 2649.8
359.86 2293.6 2653.5
368,54 2288.3 2656.9
376,70 2283.3 2660.0
1.0910 6.5029 7.5939
1.1193 6.4422 7.5615
1.1453 6.3867 15320
1.1694 6.3354 7.5048
1.1919 6.2878 7.4797
075
.080
085
090
1.2130 6.2434 7.4564
1.2329 6.2017 7.4346
1.2517 6.162s 7.4141
1.2695 6.1254 7.3949
91.78
2217.
2087.
1972.
1869.
384,39 2278.6 2663.0
391.66 2274.1 2665.8
398.57 2269.8 2668.4
405.15 2265.7 2670.9
1.0373
384.31 2112.4 2496.7
391.58 2107.2 2498.8
398.48 2102.3 2500.7
405.06 2097.6 2502.6
93.50
1.0386
95.14. 1.0398
96.71
1.0410
Transcribed Image Text:Specific Volume Sat. Sat. Vaper Liquid 10'v, 10v, Internal Energy Sal. Liquid Enthalpy Entropy Temp Prems MP Sat. Vapor Sat. Liquid Sat. Vapor Sat. Liquid Sat. Vapor Evap Evap he Evap. t. u, h. Sy 271.90 2191.2 2463.1 275.58 2188,7 2464.2 279.14 2186.2 2465.3 282.60 2183.8 2466.4 285.95 2181 5 2467.4 271.93 2346.3 2618.2 275.61 2344.1 2619.7 279.17 2342.0 2621.2 282.62 2340.0 2622.6 285.98 2338.0 2624.0 .8931 6.9383 7.8314 9040 6.9139 7.8179 9145 6.8904 7.8049 9246 6.8678 7.7924 .9344 6.8459 7.7803 64.97 1.0199 025 026 027 .028 029 6204. 5980. 5772 5579. 5398. 65.85 1.0204 66.70 - 1.0209 67.53 1.0214 68.33 1.0218 030 032 034 036 .038 5229 4922. 650. 4408 4190. 289.20 2179.2 2468.4 295.45 2174.9 2470.3 301.37 2170.8 2472.1 307.01 2166.8 2473.8 312.39 2163.1 2475.5 289.23 2336.1 2625.3 295.48 2332.4 2627.8 301.40 2328.8 2630.2 307.05 2325.5 2632.5 312.43 2322.3 2634.7 9439 6.8247 7.7686 9622 6.7843 7.1465 9793 6,7463 7,7257 9956 6.7104 7.7061 1.0111 6.6764 7.6876 69.10 1.0223 70.60 1.0232 72.01 1,0241 73,36 1.0249 74.64 1.0257 75.87 1.0265 1.0272 1.0279 3652. 1.0286 1.0293 317.53 2159.5 2477.0 322.47 2156.0 2478.5 327.22 2152.7 2479.9 331.78 2149,5 2481.3 336.19 2146.4 2482.6 317.58 2319.2 2636.8 322.51 2316.2 2638.7 327.26 2313.4 2640.6 331,83 2310.6 2642.5 336.23 2308.0 2644.2 1.0259 6.6441 7.6700 1.0400 6.6133 7.6534 1.0536 6.5839 7.6375 1.0666 6.5558 7.6223 1.0790 6.5288 7.6078 3993. 3815. 040 042 044 046 048 77.05 78.18 79.27 80.32 3503. 3367. 050 055 .060 665 .070 81.33 83.72 85.94 88.01 89.95 1.0300 1.0316 1.0331 1.0346 1.0360 3240. 2964. 2732 2535. 2365. 340.44 2143.4 2483.9 350.48 2136.4 2486.8 359.79 2129.8 2489.6 368.48 2123.6 2492.1 376.63 2117.8 2494.5 340.49 2305.4 2645.9 350.54 2299.3 2649.8 359.86 2293.6 2653.5 368,54 2288.3 2656.9 376,70 2283.3 2660.0 1.0910 6.5029 7.5939 1.1193 6.4422 7.5615 1.1453 6.3867 15320 1.1694 6.3354 7.5048 1.1919 6.2878 7.4797 075 .080 085 090 1.2130 6.2434 7.4564 1.2329 6.2017 7.4346 1.2517 6.162s 7.4141 1.2695 6.1254 7.3949 91.78 2217. 2087. 1972. 1869. 384,39 2278.6 2663.0 391.66 2274.1 2665.8 398.57 2269.8 2668.4 405.15 2265.7 2670.9 1.0373 384.31 2112.4 2496.7 391.58 2107.2 2498.8 398.48 2102.3 2500.7 405.06 2097.6 2502.6 93.50 1.0386 95.14. 1.0398 96.71 1.0410
Table 3. Vapor
P(t Sat.)
2.00 (212.42)
10v
Sat.
99.63 2600.3 2799,5
6.3409
200
205
210
215
220
95.27 2570.6 2761.1
97.06 2582.8 2777.0
98.80 2594.7 2792.3
TO0.50 2606.2 2807.2 6.3566
102.15 2617.4 2821.7
6.2608
6.2941
6.3259
6.3861
6.4147
6.4423
225
230
235
240
245
103.77 2628.3 2835.8
105.36 2638.9 2849.6
106.91 2649.4 2863,2 6.4691
108.45 2659.6 2876.5
109.95 2669.7 2889.6 6.5205
6.4952
111.44 2679.6 2902.5 6.5453
114.36 2699.0 2927.7 6.5931
250
260
270 117.21 2717.9 2952.3 6.6388
280
290
120.01 2736.4 2976.4 6.6828
122.76 2754.6 3000.2 6.7253
300
310
320
330
340
125.47 2772.6 3023.5 6.7664
128.14 2790.3 3046.6 6.8063
130.79 2807.9 3069.5 6.8452
133.40 2825.3 3092.1 6.8831
136.00 2842.6 3114.6 6.9201
350
360
370
380
390
138.57 2859.8 3137.0 6.9563
141.13 2877.0 3159.3 6.9917
143.66 2894.1 3181.4 7.0265
146.19 2911.2 3203.6 7.0606
148.70 2928.2 3225.6
7.0941
Transcribed Image Text:Table 3. Vapor P(t Sat.) 2.00 (212.42) 10v Sat. 99.63 2600.3 2799,5 6.3409 200 205 210 215 220 95.27 2570.6 2761.1 97.06 2582.8 2777.0 98.80 2594.7 2792.3 TO0.50 2606.2 2807.2 6.3566 102.15 2617.4 2821.7 6.2608 6.2941 6.3259 6.3861 6.4147 6.4423 225 230 235 240 245 103.77 2628.3 2835.8 105.36 2638.9 2849.6 106.91 2649.4 2863,2 6.4691 108.45 2659.6 2876.5 109.95 2669.7 2889.6 6.5205 6.4952 111.44 2679.6 2902.5 6.5453 114.36 2699.0 2927.7 6.5931 250 260 270 117.21 2717.9 2952.3 6.6388 280 290 120.01 2736.4 2976.4 6.6828 122.76 2754.6 3000.2 6.7253 300 310 320 330 340 125.47 2772.6 3023.5 6.7664 128.14 2790.3 3046.6 6.8063 130.79 2807.9 3069.5 6.8452 133.40 2825.3 3092.1 6.8831 136.00 2842.6 3114.6 6.9201 350 360 370 380 390 138.57 2859.8 3137.0 6.9563 141.13 2877.0 3159.3 6.9917 143.66 2894.1 3181.4 7.0265 146.19 2911.2 3203.6 7.0606 148.70 2928.2 3225.6 7.0941
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