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Test2__06_Key

# Test2__06_Key - 1 PGE 312 SPRING 2006 Physical and Chemical...

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1 PGE 312 - SPRING 2006 Physical and Chemical Behavior of Petroleum Fluids I Test #2 Solution Key Problem 1 ( 25 points ) Two hundred pound moles (200 lb moles) of a real gas mixture consisting 90 mole% of methane and 10 mole% of ethane are confined in a vessel at P = 3023 psia and T = 86 F. ˚ Calculate the volume of the gas in cubic feet. Please do not assume ideal gas behavior. For a real gas, PV = ZnRT ZnRT V P = We must determine the gas Z factor to proceed further. Component y i P ci T ci Methane 0.90 667.8 -116.63 Ethane 0.10 707.8 90.09 P pc = i ci y P = (0.90)(667.8) + (0.10)(707.8) = 671.8 psia T pc = i ci y T = (0.90)(-116.63) + (0.10)(90.09) = -95.96 ºF + 460 = 364.04 ºR. P pr = P/P pc = 3023/671.8 = 4.50 T pr = T/T pc = (86 + 460)/364.04 = 1.50 From Z factor chart, Z = 0.79 (0.79)(200)(10.73)(86 460) 306.2 cu ft 3023 V + = = Problem 2 ( 25 points ) 91 moles of ethane and 39 moles of normal heptane are confined in a vessel at P = 300 psia and T = 400 F. ˚ a. Calculate or otherwise determine the moles of liquid in the vessel if any. Determine the state of the system. n = 91+39 = 130 moles z 2 = 91/130 = 0.70 z 7 = 39/130 = 0.30 Look up the k values and tabulate as follows: Component z i k i Ethane 0.70 5.0 n-Heptane 0.30 0.6 i i

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Test2__06_Key - 1 PGE 312 SPRING 2006 Physical and Chemical...

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