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Obtain an expression for the compressibility of (a) an ideal gas, (b) for a gas obeying...

Obtain an expression for the compressibility of (a) an ideal gas, (b) for a gas obeying the Van der Waals equation of state.

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Answer #1

A)

B) Van der Waals equation of state is

Where and are constants which are different for different gases. Isothermal compressibility is defined as

Differentiating the Van der Waals equation wrt pressure we get

This implies

Coefficient of thermal expansion is given as

Differentiating the Van der Waals equation wrt temperature at constant pressure we get

Solving this we get

Please rate my answer, good luck...

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