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assn1sol - Chemistry 350 Assignment 1 Solutions 1 Use both...

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Chemistry 350 Assignment 1 Solutions September 29, 2004 1. Use both the van der Waals equation and the Redlich-Kwong equation to plot the compress- ibility factor Z against P for ethane at 360 and 500 K. Hint: Calculate Z as a function of V and P as a function of V , then plot Z vs. P . Answer: As noted in class, you can express each of these equations of state in terms of V for both Z and P . For the van der Waals equation of state, P = RT V - b - a V 2 and Z = V V - b - a RT V and for the Redlich-Kwong equation of state, P = RT V - B - A T 1 / 2 V ( V + B ) and Z = V V - B - A RT 3 / 2 ( V + B ) Plotting these two properties, Z versus P , provides highly curved functions. These are depicted below. van der Waals
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Redlich-Kwong
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Some values for the molar volume may give negative pressures, which is physically unreason- able. However, it signifies a superheated liquid . Recall that we discussed PV isotherms which follow a cubic equation for each of these equations of state. The first “dip” in that cubic
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