Problem 1

P (Mpa) 4.5
T (°C) 110
V= 0.01 V= 0.10 V= 0.30 V= 0.50 V= 0.70 V= 0.90 V= 0.99
L= 0.99 L= 0.90 L= 0.70 L= 0.50 L= 0.30 L= 0.10 L= 0.01
Component z_i K_i Ʃ(K_i*z_i) Ʃ(z_i/K_i) y_i - x_i x_i y_i y_i - x_i x_i y_i y_i - x_i x_i y_i y_i - x_i x_i y_i y_i - x_i x_i y_i y_i - x_i x_i y_i y_i - x_i x_i y_i
C1 0.880 5.300 4.664 0.166 3.6280 0.8437 4.4717 2.6462 0.6154 3.2615 1.6524 0.3843 2.0367 1.2013 0.2794 1.4806 0.9436 0.2195 1.1631 0.7770 0.1807 0.9577 0.7198 0.1674 0.8872
C2 0.060 2.100 0.126 0.029 0.0653 0.0593 0.1246 0.0595 0.0541 0.1135 0.0496 0.0451 0.0947 0.0426 0.0387 0.0813 0.0373 0.0339 0.0712 0.0332 0.0302 0.0633 0.0316 0.0287 0.0603
C3 0.035 1.050 0.037 0.033 0.0017 0.0350 0.0367 0.0017 0.0348 0.0366 0.0017 0.0345 0.0362 0.0017 0.0341 0.0359 0.0017 0.0338 0.0355 0.0017 0.0335 0.0352 0.0017 0.0333 0.0350
i-C4 0.003 0.690 0.002 0.004 -0.0009 0.0030 0.0021 -0.0010 0.0031 0.0021 -0.0010 0.0033 0.0023 -0.0011 0.0036 0.0024 -0.0012 0.0038 0.0026 -0.0013 0.0042 0.0029 -0.0013 0.0043 0.0030
n-C4 0.009 0.540 0.005 0.017 -0.0042 0.0090 0.0049 -0.0043 0.0094 0.0051 -0.0048 0.0104 0.0056 -0.0054 0.0117 0.0063 -0.0061 0.0133 0.0072 -0.0071 0.0154 0.0083 -0.0076 0.0165 0.0089
i-C5 0.005 0.320 0.002 0.016 -0.0034 0.0050 0.0016 -0.0036 0.0054 0.0017 -0.0043 0.0063 0.0020 -0.0052 0.0076 0.0024 -0.0065 0.0095 0.0031 -0.0088 0.0129 0.0041 -0.0104 0.0153 0.0049
n-C5 0.008 0.270 0.002 0.030 -0.0059 0.0081 0.0022 -0.0063 0.0086 0.0023 -0.0075 0.0102 0.0028 -0.0092 0.0126 0.0034 -0.0119 0.0164 0.0044 -0.0170 0.0233 0.0063 -0.0211 0.0288 0.0078
Total 1.000 4.8374 0.2942 3.6806 0.9632 4.6438 2.6921 0.7308 3.4229 1.6862 0.4941 2.1803 1.2247 0.3876 1.6124 0.9569 0.3302 1.2871 0.7777 0.3001 1.0778 0.7127 0.2945 1.0071


Time V Ʃ(y_i - x_i) Ʃ(x_i) Ʃ(y_i)
1 0.01 3.6806 0.9632 4.6438
2 0.10 2.6921 0.7308 3.4229
3 0.30 1.6862 0.4941 2.1803
4 0.50 1.2247 0.3876 1.6124
5 0.70 0.9569 0.3302 1.2871
6 0.90 0.7777 0.3001 1.0778
7 0.99 0.7127 0.2945 1.0071