The Helmholtz function of a substance has the form a 5 2RT

Chapter 12, Problem 1250

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QUESTION:

The Helmholtz function of a substance has the form a 5 2RT ln v v0 2 cT0a1 2 T T0 1 T T0 ln T T0 b where T0 and v0 are the temperature and specific volume at a reference state. Show how to obtain P, h, s, cv , and cp from this expression.

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QUESTION:

The Helmholtz function of a substance has the form a 5 2RT ln v v0 2 cT0a1 2 T T0 1 T T0 ln T T0 b where T0 and v0 are the temperature and specific volume at a reference state. Show how to obtain P, h, s, cv , and cp from this expression.

ANSWER:

Step 1 of 5

The Helmholtz function of a substance has the form    

       .

It is to be shown how to obtain , , ,, and  from this expression

 

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