Ch. 6 a - 1 PGE 312 Physical and Chemical Behavior of...

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Unformatted text preview: 1 PGE 312 Physical and Chemical Behavior of Fluids Home Work 6 Solutions Problem 6-4 Given: Example 3-6 Component – Methane Standard Pressure, p sc = 14.7psia Temperature inside the container, T sc = 60 o F = 520 o R Mass of methane inside the container, m g = 10.2lb Solution: Using the ideal gas equation at standard conditions, we have p sc V sc = n g RT sc----- (1) Molecular weight of methane, M= 16 ¡ ¡¢£ ¤ No. of moles of methane gas n g = ¢ ¥ ¦ § ¨ ©ª«¬ ©­ = 0.6375 lb mole Substituting all the quantities in equation (1) we get V sc = ª«­®¯°±©ª«¯®¬±°¬ª ©²«¯ = 242.02 scf Problem 6-9 Given: Example: 3-10 Pressure, p= 5014.7psia Temperature, T = 194 o F = 654 o R Solution: Formation volume factor B g = ³«³´µ´¶¨ ·¸ ¹ ¨ º¤»¨¼½«¾¿ »¼¾---- (1) 2 To find z-factor at 5000psia and 654 o R: Component Mole fraction y j Critical Temperature, o R T cj y j T cj Critical Pressure, psia p cj y j p cj methane 0.9712 343.33 333.44 666.4 647.21 ethane 0.0242 549.92 13.31 706.5 17.10 propane 0.0031 666.06 2.06 616.0 1.91 i-butane 0.0005 734.46 0.37 527.9 0.26 n-butane 0.0002 765.62 0.15 550.6 0.11 hexane 0.0002 913.60 0.18 436.9 0.09 heptanes plus 0.0006 1082.00 0.65 372.0 0.22 1.0000 T pc 350.17 o R p pc 666.90 psia Calculate pseudoreduced properties, T pr = ¡¢ £ ¤ ¥¦§¨© ª¦©¨« £¤ 1.87 p pr = ¬ ¬ ¡¢ £ ¤ ¦©­§¨® ¥¥¥¨¯ £ 7.51 Using Fig. 3-7, we get Z = 1.02 Substituting back in equation (1) we get B g = 0.02827* ­¨©«°¥¦§ ¦©­§¨® = 3.818 x 10-3 ±²³¤´µ¨¶· ³´¶ Problem 6-12 Pressure = 1000psia Volume = 2.4MMscfd = 2.4 MMscf per day of gas Temperature = 100°F = 560°R 3 Component Mole fraction y j M j y j M j Critical Temperature °R T cj y j T cj Critical Pressure psia p cj y j p cj CO 2 0.0167 44 0.74 547.91 9.15 1071 17.88 N 2 0.0032 28 0.09 227.49 0.727 493.1 1.58 Methane 0.7108 16 11.37 343.33 244.04 666.4 473.67 Ethane 0.1552 30 4.66 549.92 85.35 706.5 109.65 Propane 0.0736 44 3.24 666.06 49.02 516.0 37.98 iso-butane 0.0092 58 0.53 734.46 6.76 527.9 4.86 n-butane 0.0198 58 1.15 765.62 15.16 550.6 10.90 iso-pentane 0.0033 72 0.24 829.10 2.74 490.4 1.62 n-pentane 0.0026 72 0.18 845.80 2.20 488.6 1.27 Hexanes 0.0027 86 0.23 913.60 2.47 436.9 1.17 Heptanes plus 0.0029 100 0.29 972.70 2.82 396.8 1.15 Total 1.0000 M a 22.72 T c 420.42 p c 661.72 The correction factor for non-hydrocarbon components can be looked up on page 122(fig. 3.12) in the The correction factor for non-hydrocarbon components can be looked up on page 122(fig....
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Ch. 6 a - 1 PGE 312 Physical and Chemical Behavior of...

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