In thermodynamics,the P-V work done is given | vedclass

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(C) The van der Waals equation for $1$ mole of gas is given by $P = \frac{RT}{V - b} - \frac{a}{V^2}$.In thermodynamics,the work done is defined as $w

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$C$ Process that is reversible and adiabatic.

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(C) The van der Waals equation for $1$ mole of gas is given by $P = \frac{RT}{V - b} - \frac{a}{V^2}$.In thermodynamics,the work done is defined as $w = -\int P_{ext} dV$.If the process is reversible,the external pressure $P_{ext}$ is equal to the internal pressure $P$ of the system at every stage,i.e.,$P_{ext} = P$.Substituting the van der Waals pressure into the work equation gives $w = -\int \left(\frac{RT}{V - b} - \frac{a}{V^2}\right) dV$.This expression is valid for any reversible process involving a van der Waals gas,regardless of whether it is isothermal or adiabatic. Thus,both $A$ and $B$ (in the context of reversibility) are satisfied.

In thermodynamics,the $P-V$ work done is given by $w = -\int P_{ext} dV$. For a system undergoing a particular process,the work done is $w = -\int \left(\frac{RT}{V - b} - \frac{a}{V^2}\right) dV$. This equation is applicable to a:

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