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Suggest (with explanation) how the internal energy of a van der Waals gas should vary

Chapter 2, Problem 2.6

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QUESTION:

Suggest (with explanation) how the internal energy of a van der Waals gas should vary with volume at constant temperature.

Questions & Answers

QUESTION:

Suggest (with explanation) how the internal energy of a van der Waals gas should vary with volume at constant temperature.

ANSWER:

Step 1 of 3

The relation between internal energy and volume of van der Waals gas can be derived as follows.

The equation for state is,

The expression for van der Waals gas is,

Here P is the pressure, V is the volume, u is the internal energy, T is the temperature and a and b are constants.

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