Spr05Test2_key (14) copy

Spr05Test2_key (14) copy - 1 PGE 312 SPRING 2005 Physical...

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1 PGE 312 - SPRING 2005 Physical and Chemical Behavior of Petroleum Fluids I Test #2 Solution Key Problem 1 ( 20 points ) A binary mixture of 84 moles of ethane and 36 moles of n-heptane is confined in a vessel at P = 100 psia and T = 260 F. The equilibrium ratios (k-values) for ethane and n- ˚ heptane at the given pressure and temperature are as follows: Component k-value Ethane 11.1231 n-Heptane 0.3368 Determine a. The moles of gas in the vessel if any. Calculate the system composition. Let subscript 1 be ethane and 2 be n-heptane. 1 2 84/120 0.70 36/120 0.30 z z = = Determine the state of the system. (0.70)(11.1231) (0.30)(0.3368) 7.8872 1.0 i i z k = + = 0.70 0.30 0.9537 1.0 11.1231 0.3368 i i z k = + = < Since 1 1 i i i i z and z k k < , the system is all gas. The moles of gas is given by 84 36 120 moles g n = + = b. The composition of the gas expressed in mole fractions. The gas composition is the same as the system composition and is given by 1 1 2 2 0.70 0.30 y z y z = =
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2 Problem 2 (80 points)
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Spr05Test2_key (14) copy - 1 PGE 312 SPRING 2005 Physical...

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