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Question

In thermodynamics, the PV work done is given by w=dVPext. For a system undergoing a particular process, the work done is,

w=dV(RTVbaV2)

This equation is applicable to a

A
System that satisfies the van der Waals equation of state.
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B
Process that is reversible and isothermal.
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C
Process that is reversible and adiabatic.
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D
Process that is irreversible and at constant pressure.
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Solution

The correct option is C Process that is reversible and adiabatic.

w=Pext.dV

From van der waal equation of state for one mole gas.

(P+aV2)(vb)=RT
P=[RTVbaV2]

For reversible process

Pext=Pgas
W=(RTVbaV2)dv
So, process is not applicable only for irreversible process.


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