perez, jonalyn d. che3201

8/2/2019 Perez, Jonalyn d. Che3201

1/28

Problem: Find the molar volume of ammonia gast

a=4.2527, b=0.02590, pc=111.3 atm, Tc=405.

Redlich-Kwong Equation of State

where:

P = pressure Tc = cr

Vm = molar vo Pc = cr

R = gas consta a = con

T = temperatu b = con

Derivation

V^3P-V^2RT+V(a-Pb62)-RTb)-ab=0

P (atm) T (K) (L atm/mol K) Pc (atm) Tc (K) a ( L/gmol) b (L/gmol)

56 450 111.3 405.5 4.2527 0.02590.08206


2/28

t 56 atm and 450 K using the Redlich-Kwong equat

K; units of a and b correspond to v in liter/gmol

tical temperature

tical pressure

stant that corrects for attractive potential of molecule

stant that corrects for volume

Vm 2.650433

0.680374 0


3/28

on of state,


4/28

LABORATORY PROBLEM:

Find the molar volume of ammonia gas at conditions from 50 to 250 atm and 400 to 800

SOLUTION:

Redlich-Kwong Equation of State

(P*T*Vm3

) - (R*T*T*Vm2

) - Vm(Pb2

*T +

P (atm) Temp (K) a b T R A B C

50 400 4.2527 0.0259 20 0.08206 1000 656.48 13.4209

51 400 4.2527 0.0259 20 0.08206 1020 656.48 13.4344

52 400 4.2527 0.0259 20 0.08206 1040 656.48 13.4478

53 400 4.2527 0.0259 20 0.08206 1060 656.48 13.4612

54 400 4.2527 0.0259 20 0.08206 1080 656.48 13.4746

55 400 4.2527 0.0259 20 0.08206 1100 656.48 13.4880

56 400 4.2527 0.0259 20 0.08206 1120 656.48 13.5014

57 400 4.2527 0.0259 20 0.08206 1140 656.48 13.5149

58 400 4.2527 0.0259 20 0.08206 1160 656.48 13.5283

59 400 4.2527 0.0259 20 0.08206 1180 656.48 13.5417

60 400 4.2527 0.0259 20 0.08206 1200 656.48 13.5551

61 400 4.2527 0.0259 20 0.08206 1220 656.48 13.5685

62 400 4.2527 0.0259 20 0.08206 1240 656.48 13.5819

Deriving the formula:

Let A = P*T

B = R*T*T D = a


5/28

63 400 4.2527 0.0259 20 0.08206 1260 656.48 13.5954

64 400 4.2527 0.0259 20 0.08206 1280 656.48 13.6088

65 400 4.2527 0.0259 20 0.08206 1300 656.48 13.6222

66 400 4.2527 0.0259 20 0.08206 1320 656.48 13.6356

67 400 4.2527 0.0259 20 0.08206 1340 656.48 13.6490

68 400 4.2527 0.0259 20 0.08206 1360 656.48 13.6624

69 400 4.2527 0.0259 20 0.08206 1380 656.48 13.6758

70 400 4.2527 0.0259 20 0.08206 1400 656.48 13.6893

71 400 4.2527 0.0259 20 0.08206 1420 656.48 13.7027

72 400 4.2527 0.0259 20 0.08206 1440 656.48 13.7161

73 400 4.2527 0.0259 20 0.08206 1460 656.48 13.7295

74 400 4.2527 0.0259 20 0.08206 1480 656.48 13.7429

75 400 4.2527 0.0259 20 0.08206 1500 656.48 13.7563

76 400 4.2527 0.0259 20 0.08206 1520 656.48 13.7698

77 400 4.2527 0.0259 20 0.08206 1540 656.48 13.7832

78 400 4.2527 0.0259 20 0.08206 1560 656.48 13.7966

79 400 4.2527 0.0259 20 0.08206 1580 656.48 13.8100

80 400 4.2527 0.0259 20 0.08206 1600 656.48 13.8234

81 400 4.2527 0.0259 20 0.08206 1620 656.48 13.8368

82 400 4.2527 0.0259 20 0.08206 1640 656.48 13.8503

83 400 4.2527 0.0259 20 0.08206 1660 656.48 13.8637

84 400 4.2527 0.0259 20 0.08206 1680 656.48 13.8771

85 400 4.2527 0.0259 20 0.08206 1700 656.48 13.8905

86 400 4.2527 0.0259 20 0.08206 1720 656.48 13.9039

87 400 4.2527 0.0259 20 0.08206 1740 656.48 13.9173

88 400 4.2527 0.0259 20 0.08206 1760 656.48 13.9308

89 400 4.2527 0.0259 20 0.08206 1780 656.48 13.9442

90 400 4.2527 0.0259 20 0.08206 1800 656.48 13.9576

91 400 4.2527 0.0259 20 0.08206 1820 656.48 13.9710

92 400 4.2527 0.0259 20 0.08206 1840 656.48 13.9844

93 400 4.2527 0.0259 20 0.08206 1860 656.48 13.9978

94 400 4.2527 0.0259 20 0.08206 1880 656.48 14.0113

95 400 4.2527 0.0259 20 0.08206 1900 656.48 14.0247

96 400 4.2527 0.0259 20 0.08206 1920 656.48 14.0381

97 400 4.2527 0.0259 20 0.08206 1940 656.48 14.0515

98 400 4.2527 0.0259 20 0.08206 1960 656.48 14.0649


6/28

99 400 4.2527 0.0259 20 0.08206 1980 656.48 14.0783

100 400 4.2527 0.0259 20 0.08206 2000 656.48 14.0918

101 400 4.2527 0.0259 20 0.08206 2020 656.48 14.1052

102 400 4.2527 0.0259 20 0.08206 2040 656.48 14.1186

103 400 4.2527 0.0259 20 0.08206 2060 656.48 14.1320

104 400 4.2527 0.0259 20 0.08206 2080 656.48 14.1454

105 400 4.2527 0.0259 20 0.08206 2100 656.48 14.1588

106 400 4.2527 0.0259 20 0.08206 2120 656.48 14.1722

107 400 4.2527 0.0259 20 0.08206 2140 656.48 14.1857

108 400 4.2527 0.0259 20 0.08206 2160 656.48 14.1991

109 400 4.2527 0.0259 20 0.08206 2180 656.48 14.2125

110 400 4.2527 0.0259 20 0.08206 2200 656.48 14.2259

111 400 4.2527 0.0259 20 0.08206 2220 656.48 14.2393

112 400 4.2527 0.0259 20 0.08206 2240 656.48 14.2527

113 400 4.2527 0.0259 20 0.08206 2260 656.48 14.2662

114 400 4.2527 0.0259 20 0.08206 2280 656.48 14.2796

115 400 4.2527 0.0259 20 0.08206 2300 656.48 14.2930

116 400 4.2527 0.0259 20 0.08206 2320 656.48 14.3064

117 400 4.2527 0.0259 20 0.08206 2340 656.48 14.3198

118 400 4.2527 0.0259 20 0.08206 2360 656.48 14.3332

119 400 4.2527 0.0259 20 0.08206 2380 656.48 14.3467

120 400 4.2527 0.0259 20 0.08206 2400 656.48 14.3601

121 400 4.2527 0.0259 20 0.08206 2420 656.48 14.3735

122 400 4.2527 0.0259 20 0.08206 2440 656.48 14.3869

123 400 4.2527 0.0259 20 0.08206 2460 656.48 14.4003

124 400 4.2527 0.0259 20 0.08206 2480 656.48 14.4137

125 400 4.2527 0.0259 20 0.08206 2500 656.48 14.4272

126 400 4.2527 0.0259 20 0.08206 2520 656.48 14.4406

127 400 4.2527 0.0259 20 0.08206 2540 656.48 14.4540

128 400 4.2527 0.0259 20 0.08206 2560 656.48 14.4674

129 400 4.2527 0.0259 20 0.08206 2580 656.48 14.4808

130 400 4.2527 0.0259 20 0.08206 2600 656.48 14.4942

131 400 4.2527 0.0259 20 0.08206 2620 656.48 14.5077

132 400 4.2527 0.0259 20 0.08206 2640 656.48 14.5211

133 400 4.2527 0.0259 20 0.08206 2660 656.48 14.5345

134 400 4.2527 0.0259 20 0.08206 2680 656.48 14.5479


7/28

135 400 4.2527 0.0259 20 0.08206 2700 656.48 14.5613

136 400 4.2527 0.0259 20 0.08206 2720 656.48 14.5747

137 400 4.2527 0.0259 20 0.08206 2740 656.48 14.5882

138 400 4.2527 0.0259 20 0.08206 2760 656.48 14.6016

139 400 4.2527 0.0259 20 0.08206 2780 656.48 14.6150

140 400 4.2527 0.0259 20 0.08206 2800 656.48 14.6284

141 400 4.2527 0.0259 20 0.08206 2820 656.48 14.6418

142 400 4.2527 0.0259 20 0.08206 2840 656.48 14.6552

143 400 4.2527 0.0259 20 0.08206 2860 656.48 14.6686

144 400 4.2527 0.0259 20 0.08206 2880 656.48 14.6821

145 400 4.2527 0.0259 20 0.08206 2900 656.48 14.6955

146 400 4.2527 0.0259 20 0.08206 2920 656.48 14.7089

147 400 4.2527 0.0259 20 0.08206 2940 656.48 14.7223

148 400 4.2527 0.0259 20 0.08206 2960 656.48 14.7357

149 400 4.2527 0.0259 20 0.08206 2980 656.48 14.7491

150 400 4.2527 0.0259 20 0.08206 3000 656.48 14.7626

151 400 4.2527 0.0259 20 0.08206 3020 656.48 14.7760

152 400 4.2527 0.0259 20 0.08206 3040 656.48 14.7894

153 400 4.2527 0.0259 20 0.08206 3060 656.48 14.8028

154 400 4.2527 0.0259 20 0.08206 3080 656.48 14.8162

155 400 4.2527 0.0259 20 0.08206 3100 656.48 14.8296

156 400 4.2527 0.0259 20 0.08206 3120 656.48 14.8431

157 400 4.2527 0.0259 20 0.08206 3140 656.48 14.8565

158 400 4.2527 0.0259 20 0.08206 3160 656.48 14.8699

159 400 4.2527 0.0259 20 0.08206 3180 656.48 14.8833

160 400 4.2527 0.0259 20 0.08206 3200 656.48 14.8967

161 400 4.2527 0.0259 20 0.08206 3220 656.48 14.9101

162 400 4.2527 0.0259 20 0.08206 3240 656.48 14.9236

163 400 4.2527 0.0259 20 0.08206 3260 656.48 14.9370

164 400 4.2527 0.0259 20 0.08206 3280 656.48 14.9504

165 400 4.2527 0.0259 20 0.08206 3300 656.48 14.9638

166 400 4.2527 0.0259 20 0.08206 3320 656.48 14.9772

167 400 4.2527 0.0259 20 0.08206 3340 656.48 14.9906

168 400 4.2527 0.0259 20 0.08206 3360 656.48 15.0041

169 400 4.2527 0.0259 20 0.08206 3380 656.48 15.0175

170 400 4.2527 0.0259 20 0.08206 3400 656.48 15.0309


8/28

171 400 4.2527 0.0259 20 0.08206 3420 656.48 15.0443

172 400 4.2527 0.0259 20 0.08206 3440 656.48 15.0577

173 400 4.2527 0.0259 20 0.08206 3460 656.48 15.0711

174 400 4.2527 0.0259 20 0.08206 3480 656.48 15.0846

175 400 4.2527 0.0259 20 0.08206 3500 656.48 15.0980

176 400 4.2527 0.0259 20 0.08206 3520 656.48 15.1114

177 400 4.2527 0.0259 20 0.08206 3540 656.48 15.1248

178 400 4.2527 0.0259 20 0.08206 3560 656.48 15.1382

179 400 4.2527 0.0259 20 0.08206 3580 656.48 15.1516

180 400 4.2527 0.0259 20 0.08206 3600 656.48 15.1650

181 400 4.2527 0.0259 20 0.08206 3620 656.48 15.1785

182 400 4.2527 0.0259 20 0.08206 3640 656.48 15.1919

183 400 4.2527 0.0259 20 0.08206 3660 656.48 15.2053

184 400 4.2527 0.0259 20 0.08206 3680 656.48 15.2187

185 400 4.2527 0.0259 20 0.08206 3700 656.48 15.2321

186 400 4.2527 0.0259 20 0.08206 3720 656.48 15.2455

187 400 4.2527 0.0259 20 0.08206 3740 656.48 15.2590

188 400 4.2527 0.0259 20 0.08206 3760 656.48 15.2724

189 400 4.2527 0.0259 20 0.08206 3780 656.48 15.2858

190 400 4.2527 0.0259 20 0.08206 3800 656.48 15.2992

191 400 4.2527 0.0259 20 0.08206 3820 656.48 15.3126

192 400 4.2527 0.0259 20 0.08206 3840 656.48 15.3260

193 400 4.2527 0.0259 20 0.08206 3860 656.48 15.3395

194 400 4.2527 0.0259 20 0.08206 3880 656.48 15.3529

195 400 4.2527 0.0259 20 0.08206 3900 656.48 15.3663

196 400 4.2527 0.0259 20 0.08206 3920 656.48 15.3797

197 400 4.2527 0.0259 20 0.08206 3940 656.48 15.3931

198 400 4.2527 0.0259 20 0.08206 3960 656.48 15.4065

199 400 4.2527 0.0259 20 0.08206 3980 656.48 15.4200

200 400 4.2527 0.0259 20 0.08206 4000 656.48 15.4334

201 400 4.2527 0.0259 20 0.08206 4020 656.48 15.4468

202 400 4.2527 0.0259 20 0.08206 4040 656.48 15.4602

203 400 4.2527 0.0259 20 0.08206 4060 656.48 15.4736

204 400 4.2527 0.0259 20 0.08206 4080 656.48 15.4870

205 400 4.2527 0.0259 20 0.08206 4100 656.48 15.5005

206 400 4.2527 0.0259 20 0.08206 4120 656.48 15.5139


9/28

207 400 4.2527 0.0259 20 0.08206 4140 656.48 15.5273

208 400 4.2527 0.0259 20 0.08206 4160 656.48 15.5407

209 400 4.2527 0.0259 20 0.08206 4180 656.48 15.5541

210 400 4.2527 0.0259 20 0.08206 4200 656.48 15.5675

211 400 4.2527 0.0259 20 0.08206 4220 656.48 15.5810

212 400 4.2527 0.0259 20 0.08206 4240 656.48 15.5944

213 400 4.2527 0.0259 20 0.08206 4260 656.48 15.6078

214 400 4.2527 0.0259 20 0.08206 4280 656.48 15.6212

215 400 4.2527 0.0259 20 0.08206 4300 656.48 15.6346

216 400 4.2527 0.0259 20 0.08206 4320 656.48 15.6480

217 400 4.2527 0.0259 20 0.08206 4340 656.48 15.6614

218 400 4.2527 0.0259 20 0.08206 4360 656.48 15.6749

219 400 4.2527 0.0259 20 0.08206 4380 656.48 15.6883

220 400 4.2527 0.0259 20 0.08206 4400 656.48 15.7017

221 400 4.2527 0.0259 20 0.08206 4420 656.48 15.7151

222 400 4.2527 0.0259 20 0.08206 4440 656.48 15.7285

223 400 4.2527 0.0259 20 0.08206 4460 656.48 15.7419

224 400 4.2527 0.0259 20 0.08206 4480 656.48 15.7554

225 400 4.2527 0.0259 20 0.08206 4500 656.48 15.7688

226 400 4.2527 0.0259 20 0.08206 4520 656.48 15.7822

227 400 4.2527 0.0259 20 0.08206 4540 656.48 15.7956

228 400 4.2527 0.0259 20 0.08206 4560 656.48 15.8090

229 400 4.2527 0.0259 20 0.08206 4580 656.48 15.8224

230 400 4.2527 0.0259 20 0.08206 4600 656.48 15.8359

231 400 4.2527 0.0259 20 0.08206 4620 656.48 15.8493

232 400 4.2527 0.0259 20 0.08206 4640 656.48 15.8627

233 400 4.2527 0.0259 20 0.08206 4660 656.48 15.8761

234 400 4.2527 0.0259 20 0.08206 4680 656.48 15.8895

235 400 4.2527 0.0259 20 0.08206 4700 656.48 15.9029

236 400 4.2527 0.0259 20 0.08206 4720 656.48 15.9164

237 400 4.2527 0.0259 20 0.08206 4740 656.48 15.9298

238 400 4.2527 0.0259 20 0.08206 4760 656.48 15.9432

239 400 4.2527 0.0259 20 0.08206 4780 656.48 15.9566

240 400 4.2527 0.0259 20 0.08206 4800 656.48 15.9700

241 400 4.2527 0.0259 20 0.08206 4820 656.48 15.9834

242 400 4.2527 0.0259 20 0.08206 4840 656.48 15.9969


10/28

243 400 4.2527 0.0259 20 0.08206 4860 656.48 16.0103

244 400 4.2527 0.0259 20 0.08206 4880 656.48 16.0237

245 400 4.2527 0.0259 20 0.08206 4900 656.48 16.0371

246 400 4.2527 0.0259 20 0.08206 4920 656.48 16.0505

247 400 4.2527 0.0259 20 0.08206 4940 656.48 16.0639

248 400 4.2527 0.0259 20 0.08206 4960 656.48 16.0773

249 400 4.2527 0.0259 20 0.08206 4980 656.48 16.0908

250 400 4.2527 0.0259 20 0.08206 5000 656.48 16.1042


11/28

K using the Redlich-Kwong equation of state. Plot the molar volume in a 3D plot and a contour plot.

Tb*T- a) - ab = 0

D Vm derived formulTemp(K) T A B

0.1101 0.67655773 -1.81661E-07 800 28.28427125 1414.213562 1856.805839

0.1101 0.663697772 -7.55288E-07 800 28.28427125 1442.497834 1856.805839

0.1101 0.651332864 -2.50926E-07 800 28.28427125 1470.782105 1856.805839

0.1101 0.639434982 6.48728E-07 800 28.28427125 1499.066376 1856.805839

0.1101 0.627978173 -9.14176E-07 800 28.28427125 1527.350647 1856.805839

0.1101 0.616938384 -9.14956E-07 800 28.28427125 1555.634919 1856.805839

0.1101 0.606293272 -2.87457E-07 800 28.28427125 1583.91919 1856.805839

0.1101 0.59602206 -3.66799E-08 800 28.28427125 1612.203461 1856.805839

0.1101 0.586105407 -1.62837E-07 800 28.28427125 1640.487732 1856.805839

0.1101 0.576525283 -6.50573E-07 800 28.28427125 1668.772004 1856.805839

0.1101 0.567264862 -2.28853E-07 800 28.28427125 1697.056275 1856.805839

0.1101 0.558308418 -2.42241E-07 800 28.28427125 1725.340546 1856.805839

0.1101 0.549641241 -8.70488E-08 800 28.28427125 1753.624817 1856.805839

C = Pb2*T + RTb*T- a

* b

0

100

200

300

1

10

19

28

37

46

55

64

73

82

91

100

109

118

127

136

145

P vs Vm at 400


12/28

0.1101 0.541249554 -4.06076E-07 800 28.28427125 1781.909089 1856.805839

0.1101 0.533120442 -6.69582E-07 800 28.28427125 1810.19336 1856.805839

0.1101 0.525241787 -6.43159E-07 800 28.28427125 1838.477631 1856.805839

0.1101 0.517602201 -7.66824E-07 800 28.28427125 1866.761902 1856.805839

0.1101 0.51019098 -5.004E-07 800 28.28427125 1895.046174 1856.805839

0.1101 0.502998047 -1.65934E-07 800 28.28427125 1923.330445 1856.805839

0.1101 0.496013908 -2.80403E-07 800 28.28427125 1951.614716 1856.805839

0.1101 0.489229614 -7.12395E-07 800 28.28427125 1979.898987 1856.805839

0.1101 0.482636721 -7.18126E-07 800 28.28427125 2008.183259 1856.805839

0.1101 0.476227253 -6.01345E-07 800 28.28427125 2036.46753 1856.805839

0.1101 0.46999367 -2.02988E-07 800 28.28427125 2064.751801 1856.805839

0.1101 0.463928837 -8.00048E-07 800 28.28427125 2093.036072 1856.805839

0.1101 0.458026011 -1.72124E-07 800 28.28427125 2121.320344 1856.805839

0.1101 0.452278788 -8.15303E-08 800 28.28427125 2149.604615 1856.805839

0.1101 0.446681105 -7.28172E-07 800 28.28427125 2177.888886 1856.805839

0.1101 0.441227215 -2.14046E-07 800 28.28427125 2206.173157 1856.805839

0.1101 0.435911651 -3.45365E-07 800 28.28427125 2234.457429 1856.805839

0.1101 0.430729228 -1.60628E-07 800 28.28427125 2262.7417 1856.805839

0.1101 0.425675011 -4.43601E-07 800 28.28427125 2291.025971 1856.805839

0.1101 0.42074431 -3.94937E-07 800 28.28427125 2319.310242 1856.805839

0.1101 0.415932658 -7.499E-07 800 28.28427125 2347.594514 1856.805839

0.1101 0.411235807 -2.61835E-07 800 28.28427125 2375.878785 1856.805839

0.1101 0.406649697 -9.13119E-07 800 28.28427125 2404.163056 1856.805839

0.1101 0.402170472 -1.97221E-07 800 28.28427125 2432.447327 1856.805839

0.1101 0.397794439 -2.57944E-07 800 28.28427125 2460.731599 1856.805839

0.1101 0.393518081 -1.59371E-07 800 28.28427125 2489.01587 1856.805839

0.1101 0.389338037 -2.63741E-07 800 28.28427125 2517.300141 1856.805839

0.1101 0.385251094 -9.51291E-07 800 28.28427125 2545.584412 1856.805839

0.1101 0.381254189 -2.74813E-07 800 28.28427125 2573.868684 1856.805839

0.1101 0.377344378 -1.01647E-07 800 28.28427125 2602.152955 1856.8058390.1101 0.373518852 -6.23044E-08 800 28.28427125 2630.437226 1856.805839

0.1101 0.369774919 -3.54074E-07 800 28.28427125 2658.721497 1856.805839

0.1101 0.366110004 -6.03626E-07 800 28.28427125 2687.005769 1856.805839

0.1101 0.362521637 -7.04664E-07 800 28.28427125 2715.29004 1856.805839

0.1101 0.35900745 -1.94295E-07 800 28.28427125 2743.574311 1856.805839

0.1101 0.35556517 -1.15402E-07 800 28.28427125 2771.858582 1856.805839


13/28

0.1101 0.352192615 -2.98948E-07 800 28.28427125 2800.142853 1856.805839

0.1101 0.348887695 -4.69564E-07 800 28.28427125 2828.427125 1856.805839

0.1101 0.345648402 -2.96062E-07 800 28.28427125 2856.711396 1856.805839

0.1101 0.342472802 -4.09684E-07 800 28.28427125 2884.995667 1856.805839

0.1101 0.339359038 -9.06803E-07 800 28.28427125 2913.279938 1856.805839

0.1101 0.336305329 -9.90247E-07 800 28.28427125 2941.56421 1856.805839

0.1101 0.333309959 -7.40117E-07 800 28.28427125 2969.848481 1856.805839

0.1101 0.330371276 -1.89177E-07 800 28.28427125 2998.132752 1856.805839

0.1101 0.327487684 -5.07519E-07 800 28.28427125 3026.417023 1856.805839

0.1101 0.324657658 -1.54625E-07 800 28.28427125 3054.701295 1856.805839

0.1101 0.32187972 -2.91651E-07 800 28.28427125 3082.985566 1856.805839

0.1101 0.31915245 -3.86724E-07 800 28.28427125 3111.269837 1856.805839

0.1101 0.316474479 -1.2588E-07 800 28.28427125 3139.554108 1856.805839

0.1101 0.313844481 -7.53935E-07 800 28.28427125 3167.83838 1856.805839

0.1101 0.311261191 -1.36117E-07 800 28.28427125 3196.122651 1856.805839

0.1101 0.30872337 -1.66154E-07 800 28.28427125 3224.406922 1856.805839

0.1101 0.306229833 -6.64827E-07 800 28.28427125 3252.691193 1856.805839

0.1101 0.303779438 -5.77305E-07 800 28.28427125 3280.975465 1856.805839

0.1101 0.301371078 -2.37394E-08 800 28.28427125 3309.259736 1856.805839

0.1101 0.299003678 -1.76837E-07 800 28.28427125 3337.544007 1856.805839

0.1101 0.29667621 -1.0233E-07 800 28.28427125 3365.828278 1856.805839

0.1101 0.294387672 -2.486E-07 800 28.28427125 3394.11255 1856.805839

0.1101 0.2921371 -3.49628E-07 800 28.28427125 3422.396821 1856.805839

0.1101 0.289923559 -3.92801E-07 800 28.28427125 3450.681092 1856.805839

0.1101 0.287746145 -8.52615E-07 800 28.28427125 3478.965363 1856.805839

0.1101 0.285603987 -3.54888E-07 800 28.28427125 3507.249635 1856.805839

0.1101 0.283496235 -2.52263E-07 800 28.28427125 3535.533906 1856.805839

0.1101 0.281422066 -6.94837E-07 800 28.28427125 3563.818177 1856.805839

0.1101 0.279380692 -7.27509E-07 800 28.28427125 3592.102448 1856.805839

0.1101 0.277371342 -5.63117E-07 800 28.28427125 3620.38672 1856.8058390.1101 0.27539327 -3.66062E-07 800 28.28427125 3648.670991 1856.805839

0.1101 0.273445751 -8.54592E-07 800 28.28427125 3676.955262 1856.805839

0.1101 0.271528091 -8.29313E-07 800 28.28427125 3705.239533 1856.805839

0.1101 0.269639609 -2.61397E-07 800 28.28427125 3733.523805 1856.805839

0.1101 0.267779643 -1.69424E-07 800 28.28427125 3761.808076 1856.805839

0.1101 0.265947554 -3.42097E-07 800 28.28427125 3790.092347 1856.805839


14/28

0.1101 0.264142725 -3.89707E-07 800 28.28427125 3818.376618 1856.805839

0.1101 0.262364553 -3.62471E-07 800 28.28427125 3846.66089 1856.805839

0.1101 0.260612455 -3.08327E-07 800 28.28427125 3874.945161 1856.805839

0.1101 0.258885861 -3.78228E-07 800 28.28427125 3903.229432 1856.805839

0.1101 0.257184222 -4.33199E-07 800 28.28427125 3931.513703 1856.805839

0.1101 0.255507 -9.22377E-07 800 28.28427125 3959.797975 1856.805839

0.1101 0.253853683 -3.0702E-07 800 28.28427125 3988.082246 1856.805839

0.1101 0.252223755 -6.00656E-07 800 28.28427125 4016.366517 1856.805839

0.1101 0.25061673 -8.38953E-07 800 28.28427125 4044.650788 1856.805839

0.1101 0.249032133 -4.85205E-07 800 28.28427125 4072.93506 1856.805839

0.1101 0.247469496 -3.85348E-07 800 28.28427125 4101.219331 1856.805839

0.1101 0.245928366 -4.64471E-07 800 28.28427125 4129.503602 1856.805839

0.1101 0.244408308 -1.98511E-07 800 28.28427125 4157.787873 1856.805839

0.1101 0.24290889 -4.19408E-07 800 28.28427125 4186.072145 1856.805839

0.1101 0.241429698 -5.51019E-07 800 28.28427125 4214.356416 1856.805839

0.1101 0.239970327 -5.83024E-07 800 28.28427125 4242.640687 1856.805839

0.1101 0.238530385 -3.50679E-07 800 28.28427125 4270.924958 1856.805839

0.1101 0.237109482 -7.84818E-07 800 28.28427125 4299.20923 1856.805839

0.1101 0.235707254 -2.59634E-07 800 28.28427125 4327.493501 1856.805839

0.1101 0.234323328 -1.66403E-07 800 28.28427125 4355.777772 1856.805839

0.1101 0.232957351 -4.23844E-07 800 28.28427125 4384.062043 1856.805839

0.1101 0.231608978 -6.27456E-07 800 28.28427125 4412.346315 1856.805839

0.1101 0.230277874 -7.42999E-07 800 28.28427125 4440.630586 1856.805839

0.1101 0.228963712 -5.23101E-07 800 28.28427125 4468.914857 1856.805839

0.1101 0.227666168 -5.5849E-07 800 28.28427125 4497.199128 1856.805839

0.1101 0.226384932 -5.1899E-07 800 28.28427125 4525.4834 1856.805839

0.1101 0.225119702 -1.82705E-07 800 28.28427125 4553.767671 1856.805839

0.1101 0.223870173 -6.58691E-07 800 28.28427125 4582.051942 1856.805839

0.1101 0.222636064 -7.80444E-07 800 28.28427125 4610.336213 1856.805839

0.1101 0.221417091 -6.63151E-07 800 28.28427125 4638.620485 1856.8058390.1101 0.220212977 -4.70601E-07 800 28.28427125 4666.904756 1856.805839

0.1101 0.219023454 -2.7619E-07 800 28.28427125 4695.189027 1856.805839

0.1101 0.217848258 -3.82179E-07 800 28.28427125 4723.473298 1856.805839

0.1101 0.216687132 -6.24289E-07 800 28.28427125 4751.75757 1856.805839

0.1101 0.215539833 -2.084E-08 800 28.28427125 4780.041841 1856.805839

0.1101 0.214406107 -1.75423E-07 800 28.28427125 4808.326112 1856.805839


15/28

0.1101 0.213285718 -5.3158E-07 800 28.28427125 4836.610383 1856.805839

0.1101 0.212178436 -7.43999E-07 800 28.28427125 4864.894655 1856.805839

0.1101 0.211084033 -8.03001E-07 800 28.28427125 4893.178926 1856.805839

0.1101 0.210002287 -7.7554E-07 800 28.28427125 4921.463197 1856.805839

0.1101 0.20893298 -5.51285E-07 800 28.28427125 4949.747468 1856.805839

0.1101 0.2078759 -1.98323E-07 800 28.28427125 4978.03174 1856.805839

0.1101 0.206830835 -4.58858E-07 800 28.28427125 5006.316011 1856.805839

0.1101 0.205797589 -2.72035E-07 800 28.28427125 5034.600282 1856.805839

0.1101 0.20477596 -2.73721E-08 800 28.28427125 5062.884553 1856.805839

0.1101 0.203765753 -2.11528E-07 800 28.28427125 5091.168825 1856.805839

0.1101 0.202766779 -3.04712E-07 800 28.28427125 5119.453096 1856.805839

0.1101 0.201778855 -2.92877E-07 800 28.28427125 5147.737367 1856.805839

0.1101 0.200801798 -2.40061E-07 800 28.28427125 5176.021638 1856.805839

0.1101 0.199835432 -1.5116E-08 800 28.28427125 5204.30591 1856.805839

0.1101 0.198879575 -7.19272E-07 800 28.28427125 5232.590181 1856.805839

0.1101 0.19793407 -5.34261E-07 800 28.28427125 5260.874452 1856.805839

0.1101 0.196998745 -2.9303E-07 800 28.28427125 5289.158723 1856.805839

0.1101 0.196073433 -6.68503E-07 800 28.28427125 5317.442995 1856.805839

0.1101 0.195157981 -7.94208E-07 800 28.28427125 5345.727266 1856.805839

0.1101 0.194252231 -6.81545E-07 800 28.28427125 5374.011537 1856.805839

0.1101 0.193356033 -1.89591E-07 800 28.28427125 5402.295808 1856.805839

0.1101 0.192469231 -3.31262E-07 800 28.28427125 5430.58008 1856.805839

0.1101 0.191591682 -3.81405E-07 800 28.28427125 5458.864351 1856.805839

0.1101 0.190723241 -6.67542E-07 800 28.28427125 5487.148622 1856.805839

0.1101 0.189863775 -2.7666E-07 800 28.28427125 5515.432893 1856.805839

0.1101 0.189013134 -8.41514E-07 800 28.28427125 5543.717165 1856.805839

0.1101 0.188171197 -3.38875E-07 800 28.28427125 5572.001436 1856.805839

0.1101 0.18733782 -6.08205E-07 800 28.28427125 5600.285707 1856.805839

0.1101 0.186512878 -9.67185E-07 800 28.28427125 5628.569978 1856.805839

0.1101 0.185696251 -3.28557E-07 800 28.28427125 5656.854249 1856.8058390.1101 0.184887804 -4.57993E-07 800 28.28427125 5685.138521 1856.805839

0.1101 0.18408742 -5.8386E-07 800 28.28427125 5713.422792 1856.805839

0.1101 0.18329498 -6.69819E-07 800 28.28427125 5741.707063 1856.805839

0.1101 0.182510366 -6.58476E-07 800 28.28427125 5769.991334 1856.805839

0.1101 0.181733466 -4.66025E-07 800 28.28427125 5798.275606 1856.805839

0.1101 0.180964162 -6.57218E-07 800 28.28427125 5826.559877 1856.805839


16/28

0.1101 0.180202347 -6.67086E-07 800 28.28427125 5854.844148 1856.805839

0.1101 0.179447916 -2.49008E-07 800 28.28427125 5883.128419 1856.805839

0.1101 0.178700758 -7.79764E-08 800 28.28427125 5911.412691 1856.805839

0.1101 0.177960766 -3.90194E-07 800 28.28427125 5939.696962 1856.805839

0.1101 0.177227846 -9.99666E-08 800 28.28427125 5967.981233 1856.805839

0.1101 0.176501891 -3.18334E-07 800 28.28427125 5996.265504 1856.805839

0.1101 0.175782802 -8.34732E-07 800 28.28427125 6024.549776 1856.805839

0.1101 0.175070494 -2.18689E-07 800 28.28427125 6052.834047 1856.805839

0.1101 0.174364859 -4.95801E-07 800 28.28427125 6081.118318 1856.805839

0.1101 0.173665812 -1.43195E-07 800 28.28427125 6109.402589 1856.805839

0.1101 0.172973256 -2.9563E-07 800 28.28427125 6137.686861 1856.805839

0.1101 0.172287103 -5.67168E-07 800 28.28427125 6165.971132 1856.805839

0.1101 0.171607271 -1.80355E-07 800 28.28427125 6194.255403 1856.805839

0.1101 0.170933665 -3.28732E-07 800 28.28427125 6222.539674 1856.805839

0.1101 0.170266204 -5.69972E-07 800 28.28427125 6250.823946 1856.805839

0.1101 0.169604804 -9.46241E-07 800 28.28427125 6279.108217 1856.805839

0.1101 0.168949391 -3.33984E-07 800 28.28427125 6307.392488 1856.805839

0.1101 0.168299872 -4.99037E-07 800 28.28427125 6335.676759 1856.805839

0.1101 0.167656174 -7.22001E-07 800 28.28427125 6363.961031 1856.805839

0.1101 0.167018225 -1.63818E-07 800 28.28427125 6392.245302 1856.805839

0.1101 0.166385938 -2.9111E-07 800 28.28427125 6420.529573 1856.805839

0.1101 0.165759244 -4.47853E-07 800 28.28427125 6448.813844 1856.805839

0.1101 0.165138069 -6.09806E-07 800 28.28427125 6477.098116 1856.805839

0.1101 0.164522341 -7.30532E-07 800 28.28427125 6505.382387 1856.805839

0.1101 0.16391199 -7.34791E-07 800 28.28427125 6533.666658 1856.805839

0.1101 0.163306947 -5.11782E-07 800 28.28427125 6561.950929 1856.805839

0.1101 0.162707137 -9.27206E-07 800 28.28427125 6590.235201 1856.805839

0.1101 0.162112508 -2.04576E-08 800 28.28427125 6618.519472 1856.805839

0.1101 0.161522976 -3.6101E-08 800 28.28427125 6646.803743 1856.805839

0.1101 0.16093848 -4.403E-07 800 28.28427125 6675.088014 1856.8058390.1101 0.160358965 -1.07522E-07 800 28.28427125 6703.372286 1856.805839

0.1101 0.159784357 -4.4803E-07 800 28.28427125 6731.656557 1856.805839

0.1101 0.159214605 -1.02689E-07 800 28.28427125 6759.940828 1856.805839

0.1101 0.158649639 -3.00902E-07 800 28.28427125 6788.225099 1856.805839

0.1101 0.158089401 -7.45254E-07 800 28.28427125 6816.509371 1856.805839

0.1101 0.157533841 -1.82053E-07 800 28.28427125 6844.793642 1856.805839


17/28

0.1101 0.156982889 -3.98932E-07 800 28.28427125 6873.077913 1856.805839

0.1101 0.156436492 -7.99818E-07 800 28.28427125 6901.362184 1856.805839

0.1101 0.155894603 -2.18683E-07 800 28.28427125 6929.646456 1856.805839

0.1101 0.155357153 -4.12975E-07 800 28.28427125 6957.930727 1856.805839

0.1101 0.154824093 -7.36463E-07 800 28.28427125 6986.214998 1856.805839

0.1101 0.154295378 -2.24201E-07 800 28.28427125 7014.499269 1856.805839

0.1101 0.153770943 -3.86158E-07 800 28.28427125 7042.783541 1856.805839

0.1101 0.153250741 -6.38337E-07 800 28.28427125 7071.067812 1856.805839


18/28

C Vm derived formula

44.78723983 1.336695861 -5.51777E-08

44.8062132 1.310953966 3.9271E-07

44.82518657 1.286202233 1.27127E-07

44.84415994 1.262384614 9.76957E-07

44.86313331 1.239449215 -4.71639E-07

44.88210669 1.217347914 -1.13825E-07

44.90108006 1.196036026 -7.87254E-07

44.92005343 1.175472005 -4.21859E-07

44.9390268 1.155617167 -7.92543E-07

44.95800017 1.136435451 -4.18249E-07

44.97697355 1.117893201 -2.1339E-07

44.99594692 1.099958968 4.15644E-07

45.01492029 1.082603331 -2.27596E-07

154

163

172

181

190

199

0

0.5

1

1.5

250

249

248

24

P vs. Vm at 800


19/28

45.03389366 1.065798739 -1.14073E-07

45.05286703 1.04951936 -5.32104E-07

45.07184041 1.033740955 -3.96446E-07

45.09081378 1.01844075 -4.11145E-07

45.10978715 1.003597335 -2.44102E-08

45.12876052 0.989190556 -2.24585E-07

45.14773389 0.975201429 -1.4761E-07

45.16670727 0.961612055 -2.42632E-07

45.18568064 0.948405542 -3.99784E-07

45.20465401 0.935565938 -6.53067E-08

45.22362738 0.923078164 -4.83707E-07

45.24260075 0.910927957 -6.35421E-07

45.26157413 0.899101814 -8.02497E-07

45.2805475 0.887586942 -5.04643E-07

45.29952087 0.876371215 -2.22447E-07

45.31849424 0.865443126 -3.26323E-07

45.33746761 0.854791752 -9.73391E-07

45.35644099 0.844406716 -5.72515E-07

45.37541436 0.834278155 -1.5026E-07

45.39438773 0.824396684 -2.17733E-07

45.4133611 0.814753372 -5.5008E-07

45.43233447 0.805339714 -5.74192E-0745.45130785 0.796147604 -4.21628E-08

45.47028122 0.787169313 -6.66342E-08

45.48925459 0.778397469 -1.1066E-07

45.50822796 0.769825033 -3.56373E-07

45.52720133 0.761445283 -3.56747E-07

45.54617471 0.753251797 -5.83503E-07

45.56514808 0.745238434 -3.36478E-07

45.58412145 0.737399319 -3.94979E-0745.60309482 0.729728833 -2.33126E-07

45.62206819 0.722221594 -2.05221E-07

45.64104157 0.714872444 -5.54802E-07

45.66001494 0.707676446 -1.11219E-07

45.67898831 0.700628862 -1.63658E-07

45.69796168 0.693725147 -9.75828E-07


20/28

45.71693505 0.686960944 -5.49553E-07

45.73590843 0.680332066 -6.32857E-07

45.7548818 0.673834493 -3.05619E-07

45.77385517 0.667464364 -1.0358E-07

45.79282854 0.661217966 -1.85373E-07

45.81180191 0.65509173 -8.08872E-07

45.83077529 0.649082224 -2.42156E-07

45.84974866 0.643186142 -4.26383E-07

45.86872203 0.637400305 -4.47948E-07

45.8876954 0.631721651 -3.5938E-07

45.90666877 0.626147229 -2.67985E-07

45.92564215 0.620674197 -1.34756E-07

45.94461552 0.615299814 -7.60073E-08

45.96358889 0.610021438 -9.60095E-07

45.98256226 0.60483652 -1.29032E-07

46.00153563 0.5997426 -4.53264E-08

46.02050901 0.594737304 -4.79338E-07

46.03948238 0.58981834 -8.32336E-07

46.05845575 0.584983496 -3.16173E-07

46.07742912 0.580230631 -5.8533E-07

46.09640249 0.575557679 -2.23186E-07

46.11537587 0.570962643 -4.13523E-0746.13434924 0.56644359 -2.09127E-07

46.15332261 0.56199865 -8.04573E-07

46.17229598 0.557626019 -8.47271E-07

46.19126935 0.553323945 -4.55703E-07

46.21024273 0.549090736 -2.23431E-07

46.2292161 0.54492475 -9.47659E-07

46.24818947 0.540824401 -4.33473E-07

46.26716284 0.53678815 -8.43828E-0746.28613621 0.532814506 -6.96825E-07

46.30510959 0.528902025 -4.58493E-07

46.32408296 0.525049306 -2.79314E-07

46.34305633 0.521254989 -1.65539E-07

46.3620297 0.517517759 -5.34712E-07

46.38100307 0.513836336 -1.76732E-07


21/28

46.39997645 0.510209481 -1.27056E-07

46.41894982 0.506635989 -6.27993E-07

46.43792319 0.503114694 -1.98001E-07

46.45689656 0.499644458 -1.88589E-07

46.47586993 0.496224181 -2.67268E-08

46.49484331 0.492852791 -5.95074E-07

46.51381668 0.489529249 -1.27354E-07

46.53279005 0.486252544 -1.75343E-07

46.55176342 0.483021692 -1.46084E-07

46.57073679 0.479835739 -8.61477E-07

46.58971017 0.476693756 -4.72447E-07

46.60868354 0.473594839 -2.61264E-07

46.62765691 0.470538108 -7.77144E-07

46.64663028 0.467522711 -6.51957E-08

46.66560365 0.464547811 -9.40073E-07

46.68457703 0.461612603 -4.45827E-07

46.7035504 0.458716295 -1.8863E-07

46.72252377 0.45585812 -4.95959E-07

46.74149714 0.45303733 -6.94237E-07

46.76047051 0.450253198 -2.71931E-07

46.77944389 0.447505013 -4.85921E-07

46.79841726 0.444792084 -5.79925E-0746.81739063 0.442113738 -3.89118E-07

46.836364 0.439469318 -2.23996E-07

46.85533737 0.436858182 -9.74884E-07

46.87431075 0.434279709 -4.55668E-07

46.89328412 0.431733288 -2.20314E-07

46.91225749 0.429218326 -5.7708E-07

46.93123086 0.426734245 -2.10688E-07

46.95020423 0.424280479 -1.07499E-0746.96917761 0.421856476 -4.50339E-07

46.98815098 0.419461699 -1.38329E-07

47.00712435 0.417095624 -2.19944E-07

47.02609772 0.414757736 -6.20834E-07

47.04507109 0.412447537 -1.76335E-08

47.06404447 0.410164537 -1.59605E-07


22/28

47.08301784 0.407908258 -1.93976E-07

47.10199121 0.405678236 -1.53978E-07

47.12096458 0.403474013 -8.8277E-07

47.13993795 0.401295147 -4.83138E-07

47.15891133 0.399141202 -2.69351E-07

47.1778847 0.397011753 -8.1728E-07

47.19685807 0.394906385 -2.08691E-08

47.21583144 0.392824691 -5.14303E-07

47.23480481 0.390766276 -4.78345E-07

47.25377819 0.388730751 -2.84641E-07

47.27275156 0.386717737 -1.48617E-07

47.29172493 0.384726861 -5.54891E-07

47.3106983 0.382757763 -2.27462E-07

47.32967167 0.380810086 -5.12114E-07

47.34864505 0.378883483 -8.21825E-07

47.36761842 0.376977615 -3.34272E-08

47.38659179 0.375092147 -8.17905E-07

47.40556516 0.373226756 -7.81819E-07

47.42453853 0.371381122 -4.86279E-07

47.44351191 0.369554933 -2.71054E-07

47.46248528 0.367747884 -1.4787E-07

47.48145865 0.365959675 -5.44854E-0747.50043202 0.364190014 -2.68916E-07

47.51940539 0.362438613 -7.28892E-07

47.53837877 0.360705194 -6.94612E-08

47.55735214 0.358989477 -3.67366E-07

47.57632551 0.357291197 -2.5881E-07

47.59529888 0.355610087 -1.30015E-07

47.61427225 0.353945888 -5.68874E-07

47.63324563 0.352298348 -2.04061E-0747.652219 0.350667217 -4.9408E-07

47.67119237 0.349052252 -8.44444E-07

47.69016574 0.347453214 -8.00655E-07

47.70913911 0.345869868 -9.21631E-07

47.72811249 0.344301986 -3.63324E-07

47.74708586 0.34274934 -8.97284E-07


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47.76605923 0.341211712 -8.96691E-07

47.7850326 0.339688885 -6.81285E-08

47.80400597 0.338180644 -6.80055E-08

47.82297935 0.336686782 -5.65681E-07

47.84195272 0.335207096 -2.73349E-07

47.86092609 0.333741384 -1.33896E-07

47.87989946 0.332289448 -4.7101E-07

47.89887283 0.330851097 -2.17797E-07

47.91784621 0.32942614 -5.87528E-07

47.93681958 0.328014391 -9.30823E-07

47.95579295 0.32661567 -2.44148E-07

47.97476632 0.325229794 -6.50371E-07

47.99373969 0.323856589 -3.01658E-07

48.01271307 0.322495881 -5.22265E-07

48.03168644 0.321147502 -2.90182E-07

48.05065981 0.319811284 -1.31022E-07

48.06963318 0.318487063 -5.73906E-07

48.08860655 0.31717468 -2.08552E-07

48.10757993 0.315873975 -5.80607E-07

48.1265533 0.314584795 -2.03666E-07

48.14552667 0.313306987 -4.30603E-07

48.16450004 0.3120404 -7.66188E-0748.18347341 0.310784889 -2.99428E-07

48.20244679 0.309540309 -8.11622E-08

48.22142016 0.308306517 -1.19902E-07

48.24039353 0.307083374 -1.04291E-07

48.2593669 0.305870742 -6.56056E-07

48.27834027 0.304668489 -3.74465E-07

48.29731365 0.30347648 -2.17129E-07

48.31628702 0.302294584 -7.00838E-0748.33526039 0.301122676 -2.82391E-07

48.35423376 0.299960627 -4.32466E-07

48.37320713 0.298808316 -3.59456E-07

48.39218051 0.297665619 -2.16227E-07

48.41115388 0.296532418 -3.86309E-08

48.43012725 0.295408592 -7.75639E-07


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48.44910062 0.29429403 -4.4299E-07

48.46807399 0.293188615 -2.35004E-07

48.48704737 0.292092235 -9.10883E-07

48.50602074 0.291004782 -4.1737E-07

48.52499411 0.289926145 -1.9938E-07

48.54396748 0.288856218 -4.96507E-07

48.56294085 0.287794898 -8.72666E-08

48.58191423 0.286742078 -6.56559E-07


25/28


26/28

A.

Assume 100g of mixture: NH3 N2 H2

25 18.75 56.25

Molecular weight: 17.04 28.02 2.02

MW NH3 MW N2 MW H2 P (atm) T (K) R SV NH3 SV N2 SV H2

17.04 28.02 2.02 270 550 0.08206 0.00981 0.005966 0.082752

The formula used are

Pressure*MW

Density = _______________ Specific Volume is the i

Gas Constant*Temperature

Specific Volume =

B. Redlich-Kwong equation of state

where:

R=0.08206 Latm/molK)

P=pressure(atm)

T=temperature(K)

Vm=molar volume (V/n)

P (atm) T (K) R pc Tc a b

270 550 0.08206 111.3 405.5 85.64088 0.025903


27/28

Consider a mixture of 25%ammonia, the rest nitrogen and h

the specific volume using:

a. ideal gas law

b. Redlich- Kwong equat ion of stat e

c. soave- redlich- kwong equation of sta te

Total SV Where did you get the data you needed? How do the three ans0.098528

nverse of density

Gas Constant*Temperature

_____________________

Pressure * MW

a=constant that corrects for attractive potential of molecules

b=a constant that corrects for volume

Tc= critical temperature

Pc=critical pressure


28/28

ydrogen in a 1:3 ra t io. The gas is a t 270 at m and 550K. Compute

wers compare? Is the gas ideal or not?

perez, jonalyn d. che3201

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