derive an expression for the work done in a cyclic process
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When a system undergoes a cyclic process, its initial and final internal energies are equal. Hence, the internal energy change in any cyclic process is zero. Applying the first law of thermodynamics to a cyclic process, we get
ΔE=Q+W
As ΔE=0,
W=Q
Hence, the work done by the system in a cyclic transformation is equal to the heat absorbed by the system. The net work involved in a cyclic process is the area enclosed in a P-V diagram. If the cycle goes clockwise, the system does work. If the cycle goes anticlockwise, then the work is done on the system every cycle. An example of such a system is a refrigerator or air conditioner. The Carnot engine is the best example of a cyclic process.
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