Question
Asked Feb 28, 2019
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5.8. Using the extensivity property of the entropy, find the fundamental equation for the intensive quantity s = S/N in both differential and integrated forms.

This problem is from a book "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"

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Expert Answer

Step 1

For entropy ‘S’, the extensive property in its differential form of fundamental equation is:

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Step 2

Now, take partial derivative of (1) keeping two variables constant at one time as shown below.

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Step 3

All the independent variables are extensive properties. These are S, E, V, and N. All the derivatives of equations (2), (3) and (4) are intensive properties.

So, according to the Euler’s theo...

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