Identify the conditions at which the van der | vedclass

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(C) The van der Waals equation is given by $(P + \frac{an^2}{V^2})(V - nb) = nRT$. For $1 \ mol$ of gas,this becomes $(P + \frac{a}{V^2})(V - b) = RT$

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High temperature and low pressure

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(C) The van der Waals equation is given by $(P + \frac{an^2}{V^2})(V - nb) = nRT$. For $1 \ mol$ of gas,this becomes $(P + \frac{a}{V^2})(V - b) = RT$. At high temperature,the kinetic energy of gas molecules is very high,making the intermolecular forces of attraction (represented by the constant $a$) negligible. At low pressure,the volume $V$ is very large,making the volume occupied by gas molecules (represented by the constant $b$) negligible compared to the total volume. Under these conditions,$(P + 0)(V - 0) = RT$,which simplifies to $PV = RT$,the ideal gas equation.

Identify the conditions at which the van der Waals equation of state changes to the ideal gas equation.

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