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Heat and Thermodynamics by Anandamoy Manna

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7.4 Calculation of Cooling Co-efficient from Van der Waals’ Equation

To determine the cooling co-efficient, we have to use equation of state of real gases. We proceed to calculate the cooling co-efficient with the help of Van der Waals’ equation of state

 

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Differentiating this with respect to T at constant pressure, we get

 

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or

 

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or

 

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