HW_6 - PGE 312 Physical and Chemical Behavior of Petroleum...

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PGE 312 – Physical and Chemical Behavior of Petroleum Fluids I Homework 6, Spring 2008 Problem 6-1 At standard condition P = 14.65 psia T = 60 o F = 519.7 o R Assume that the gas acts like an ideal gas scf psia lbmole psiacuft lbmole V P nRT V nRT PV 38071 65 . 14 R 7 . 519 * R 732 . 10 * 100 o o = = = = Problem 6-8 The gas in place (G) is given by the following equation, g w B S Ah G ) 1 ( 560 , 43 = φ 894 . 1 03 . 343 7 . 649 717 . 5 4 . 666 3810 = = = = r r T P From Fig. 3-7, Z=0.935 scf cuft P ZT B g / 004537 . 0 3810 654 * 935 . 0 * 02827 . 0 02827 . 0 = = = scf G therefore 10 10 55 . 1 004537 . 0 ) 33 . 0 1 ( * 18 . 0 * 21 * 640 * 43560 , × = =
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Problem 6-10 P ZT B g 02827 . 0 = In order to find Z (based on the gas in Ex. 3-28) : Component mole fraction, y i Critical Pressure, P ci , psia Critical Temp, T ci , o R y i P ci y i T ci Hydrogen Sulfide 0.100 1300.0 672.5 130.00 67.25 Carbon dioxide 0.050 1071.0 547.9 53.55 27.40 Nitrogen 0.021 493.1 227.5 10.36 4.78 Methane 0.703 666.4 343.3 468.48 241.34 Ethane 0.062 706.5 549.9 43.80 34.09 Propane 0.037 616.0 666.1 22.79 24.65 n-Butane 0.027 550.6 765.6 14.87 20.67 1.000 743.85 420.17 From Figure 3-12, 73 . 7 5 . 703 7 . 5434 ' 80 . 1 17 . 399 7 . 716 ' 5 . 703 21 * ) 1 . 0 1 ( * 1 . 0 17 . 420 17 . 399 * 85 . 743 ) 1 ( ' ' 17 . 399 21 17 . 420 ' , 21 = = = = = = = + = + = = = = = pc pr pc pr S H S H pc pc pc pc o pc pc o P P P T T T psia y y T T P P R T T therefore R d d ε From Figure 3-7, Z = 1.02 Therefore, scf resft B g / 0038 . 0 7 . 5434 7 . 716 * 02 . 1 * 02827 . 0 3 = =
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Problem 6-12 P ZTQ Q P ZT Q Q B therefore t V Q V V B dard s actual dard s actual g dard s actual g tan tan tan 02827 . 0 02827 . 0 , = = = = = The Z factor can be calculated based on the gas on Page 9 of Table 10-1 Component mole fraction, y i Critical Pressure, P ci , psia Critical Temp, T ci , o R y i P ci y i T ci Hydrogen Sulfide 0.0000 1300.0 672.5 0.0 0.0 Carbon dioxide 0.0167 1071.0 547.9 17.9 9.2 Nitrogen 0.0032 493.1 227.5 1.6 0.7 Methane 0.7108 666.4 343.3 473.7 244.0 Ethane 0.1552 706.5 549.9 109.6 85.3 Propane 0.0736 616.0 666.1 45.3 49.0 i-Butane 0.0092 527.9 734.5 4.9 6.8 n-Butane 0.0198 550.6 765.6 10.9 15.2 i-Pentane 0.0033 490.4 829.1 1.6 2.7
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HW_6 - PGE 312 Physical and Chemical Behavior of Petroleum...

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