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Question

(A) The van der Waals equation of state for a real gas is given by: $(P + \frac{a}{V^2})(V - b) = RT$.At the critical point,the pressure $P$,volume $V

Vedclass · Accepted Answer

$T_C = \frac{8a}{27Rb}$

Vedclass · Answer

(A) The van der Waals equation of state for a real gas is given by: $(P + \frac{a}{V^2})(V - b) = RT$.At the critical point,the pressure $P$,volume $V$,and temperature $T$ are related to the constants $a$ and $b$ as follows:Critical pressure: $P_C = \frac{a}{27b^2}$Critical volume: $V_C = 3b$Critical temperature: $T_C = \frac{8a}{27Rb}$Thus,the correct expression for the critical temperature is $T_C = \frac{8a}{27Rb}$.

The value of critical temperature in terms of van der Waals' constants $a$ and $b$ is given by

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