Problem

Solve Problem 10.141E with variable specific heats using Table F.5..Problem 10.141EIn a Br...

Solve Problem 10.141E with variable specific heats using Table F.5..

Problem 10.141E

In a Brayton cycle the inlet is at 540 R, 14 psia and the combustion adds 350 Btu/lbm. The maximum temperature is 2500 R due to material considerations. Find the maximum permissible compression ratio and, for that ratio, the cycle efficiency using cold air properties.

Table F.5.

Ideal Gas Properties of Air (English Units), Standard Entropy at 1 atm= 101.325 kPa= 14.696 lbf/in.2

T

u

k

ST0

T

u

k

ST0

(R)

(Btu/lbm)

(Btu/lbm)

(Btu/lbm R)

(R)

(Btu/lbm)

(Btu/lbm)

(Btu/lbm R)

400

68.212

95.634

1.56788

1950

357.243

490.928

1.96404

440

75.047

105.212

1.59071

2000

367.642

504.755

1.97104

480

81.887

114.794

1.61155

2050

378.096

518.636

1.97790

520

88.733

124.383

1.63074

2100

388.602

532.570

1.98461

536.67

91.589

128.381

1.63831

2150

399.158

546.554

1.99119

540

92.160

129.180

1.63979

2200

409.764

560.588

1.99765

560

95.589

133.980

1.64852

2300

431.114

588.793

2.01018

600

102.457

143.590

1.66510

2400

452.640

617.175

2.02226

640

109.340

153.216

1.68063

2500

474.330

645.721

2.03391

680

116.242

162.860

1.69524

2600

496.175

674.421

2.04517

720

123.167

172.528

1.70906

2700

518.165

703.267

2.05606

760

130.118

182.221

1.72216

2800

540.286

732.244

2.06659

800

137.099

191.944

1.73463

2900

562.532

761.345

2.07681

840

144.114

201.701

1.74653

3000

584.895

790.564

2.08671

880

151.165

211.494

1.75791

3100

607.369

819.894

2.09633

920

158.255

221.327

1.76884

3200

629.948

849.328

2.10567

960

165.388

231.202

1.77935

3300

652.625

878.861

2.11476

1000

172.564

241.121

1.78947

3400

675.396

908.488

2.12361

1040

179.787

251.086

1.79924

3500

698.257

938.204

2.13222

1080

187.058

261.099

1.80868

3600

721.203

968.005

2.14062

1120

194.378

271.161

1.81783

3700

744.230

997.888

2.14880

1160

201.748

281.273

1.82670

3800

767.334

1027.848

2.15679

1200

209.168

291.436

1.83532

3900

790.513

1057.882

2.16459

1240

216.640

301.650

1.84369

4000

813.763

1087.988

2.17221

1280

224.163

311.915

1.85184

4100

837.081

1118.162

2.17967

1320

231.737

322.231

1.85977

4200

860.466

1148.402

2.18695

1360

239.362

332.598

1.86751

4300

883.913

1178.705

2.19408

1400

247.037

343.016

1.87506

4400

907.422

1209.069

2.20106

1440

254.762

353.483

1.88243

4500

930.989

1239.492

2.20790

1480

262.537

364.000

1.88964

4600

954.613

1269.972

2.21460

1520

270.359

374.565

1.89668

4700

978.292

1300.506

2.22117

1560

278.230

385.177

1.90357

4800

1002.023

1331.093

2.22761

1600

286.146

395.837

1.91032

4900

1025.806

1361.732

2.23392

1650

296.106

409.224

1.91856

5000

1049.638

1392.419

2.24012

1700

306.136

422.681

1.92659

5100

1073.518

1423.155

2.24621

1750

316.232

436.205

1.93444

5200

1097.444

1453.936

2.25219

1800

326.393

449.794

1.94209

5300

1121.414

1484.762

2.25806

1850

336.616

463.445

1.94957

5400

1145.428

1515.632

2.26383

1900

346.901

477.158

1.95689

 

 

 

 

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