PGE_312_Fall08_Solution_Key_HW_6[1]

# PGE_312_Fall08_Solution_Key_HW_6[1] - PGE 312 Physical and...

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PGE 312 – Physical and Chemical Behavior of Petroleum Fluids I Homework 6 Problem 6-1 P = 14.65 psia T = 60 o F = 520 o R Therefore, at standard conditions… scf V P ZnRT V ZnRT PV 38086 65 . 14 520 * 73 . 10 * 100 = = = = Problem 6-8 The gas in place (G) is given by the following equation, scf cuft P ZT B where B S Ah G g g w / 004615 . 0 3810 654 * 951 . 0 * 02827 . 0 02827 . 0 : ) 1 ( 560 , 43 = = = - = φ (nb: Z value for gas at 3,810psi and 190 o F obtained from ex. 3-10) scf x G therefore 10 10 53 . 1 004615 . 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 = =
Problem 6-12 First of all, we know that P ZTQ Q P ZT Q Q B therefore t V Q but 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

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PGE_312_Fall08_Solution_Key_HW_6[1] - PGE 312 Physical and...

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