390_Problem_Set_6 - Problem Set 6 Chem 3900: Physical...

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1 Problem Set 6 Chem 3900: Physical Chemistry II Spring 2009 “Grade it yourself.” Solutions will be posted on Saturday, 7 th March. Problem 1. Derive the relation 2 PV pT Vp CC T TV ∂∂ ⎛⎞ −= ⎜⎟ ⎝⎠ Hence prove that, for an Ideal Gas, C p C V = nR . You can start this problem from the equation (22.23) in McQ&S. Read McQ&S, problem 22.11 for a final step. Note that the equation above will be more useful than (22.23) for solids and liquids since it is given by the thermal expansion and pressure compression coefficients. Problem 2. Let’s approximate the equation of state of n-pentane by /( ) p RT V b = , with b given by the van der Waals “ b ” in Table 16.3. (1) Calculate the fugacity and fugacity coefficient for n-pentane at T = 600 K for two pressures, p = 60 bar and p = 200 bar. What do these calculations tell you about intermolecular interactions in pentane under these conditions? (2) Calculate G Δ for isothermally changing the pressure of pentane gas from 60 to 200 bar at T = 600 K. Repeat your calculation assuming that pentane behaves as an ideal gas, and compare the
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390_Problem_Set_6 - Problem Set 6 Chem 3900: Physical...

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