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Question

In which process net work done is zero?

A
Cyclic
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B
Isochoric
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C
Free expansion
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D
Adiabatic
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Solution

The correct options are
C Isochoric
D Free expansion
1) In terms of thermodynamics, work done is a function of pressure and volume.

2) In free expansion there is no work done as there is no external pressure. That's certainly true, in fact, free expansion is an irreversible process in which a gas expands into an insulated evacuated chamber, you can think of it like a container with a piston and the gas is left to expand in vacuum.

3) An isochoric process is one in which the volume is held constant (V=constant), meaning that the work done by the system will be zero. It follows that, for the simple system of two dimensions, any heat energy transferred to the system externally will be absorbed as internal energy.

Hence the net work done is zero in the Isochoric and Free expansion process.

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