Prove that the following statements are true. a. ( H / V ) T is equal to

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Prove that the following statements are true. 

a. (∂H/∂V )T is equal to zero if (∂H/∂P)T is equal to zero. 

b. The derivative (∂S/∂V )P for a fluid has the same sign as its coefficient of thermal expansion α and is inversely proportional to it.

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