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# HW8 - Chem 331 Homework#8(Real Gases Phase Stability(Due...

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Chem 331, Homework #8 (Real Gases, Phase Stability) (Due Mon., Nov. 5th, 2007 at beginning of class) (1) At 25ºC the 2nd virial coefficients ( B ) for CH 4 and n -C 4 H 10 are –42 cm 3 /mol and –732 cm 3 /mol, respectively. For a mixture of 0.0300 mol of CH 4 and 0.0700 mol of n -C 4 H 10 at 25ºC in a 1.000 L vessel, calculate the pressure using the virial equation and (a) the approximation B 12 ! 1 2 B 1 + B 2 ( ) (b) the fact that for this mixture B 12 = –180 cm 3 /mol. Compare these results with the ideal gas equation result. (2) Use the virial equation (in terms of the pressure) to show that (a) μ JT = RT 2 C P d ! B dT + d ! C dT P + d ! D dT P 2 + ! " # \$ % & (b) ! U ! V " # \$ % & T ( 0 as P 0 Remember that ! H ! P " # \$ % & T = ( μ JT C P = V 1 ( T ) ( ) and ! U ! V " # \$ % & T = ( ) T * P (3) For CH 4 at –50ºC, measured V values as a function of P are V (in cm 3 /mol) 18224 1743 828 366 P (in atm) 1 10 20 40 V (in cm 3 /mol) 207 128.7 91.4 76.3 P (in atm) 60 80 100 120 Find the fugacity and fugacity coefficient of CH 4 at –50ºC and 120 atm (Hint: use the above data in a polynomial fit of (Z–1)/P ). Please show all work (including plots).

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HW8 - Chem 331 Homework#8(Real Gases Phase Stability(Due...

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