The density of a real gas at 400 K and 2 atm is found to be 5.0 g / L . The gas diffuses two times slower than C H 4 ( M = 16 g / mol ) under identical conditions. The compressibility factor of the

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The density of a real gas at 400 K and 2 atm is found to be 5.0 g / L . The gas diffuses two times slower than C H 4 ​ ( M = 16 g / mol ) under identical conditions. The compressibility factor of the gas is ( R = 0.08 atm L K − 1 mol − 1 )

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Graham's law: the rate of C H 4 ​ is 2 times the rate of the gas, so 2 = M g a s ​ /16 ​ , so M g a s ​ = 64 g / mol . Real molar volume = molar mass divided by density = 64/5.0 = 12.8 L . Ideal molar volume = RT / P = 0.08 × 400/2 = 16 L . Z = 12.8/16 = 0.8 . Trap: 1.25 is the inverse ratio. Answer: (B).

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