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‡ Here we explore the van der Waals equation of state in more detail. (a) Repeat...

‡ Here we explore the van der Waals equation of state in more detail. (a) Repeat Derivation 2.2 for a gas that obeys the equation of state p = nRT/(V − nb), which is appropriate when molecular repulsions are important. Does the gas do more or less work than a perfect gas for the same change of volume? (b) Now repeat the preceding exercise for a gas that obeys the equation of state p = nRT/V − n2a/V2, which is appropriate when molecular attractions are important. Does the gas do more or less work than a perfect gas for the same change of volume?

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