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Question

Why entropy is constant in a reversible adiabatic process.


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Solution

The reason for constant entropy in a reversible adiabatic process

  1. In a reversible adiabatic process, the heat exchange is zero because the system is isolated from the surrounding.

From the equation of the entropy

Sf-Si=QT

Here,

Sf=EntropyoffinalstateSi=EntropyofinitialstateQ=ChangeinheatT=Tempratureinkelvin

Now, if the process is reversible adiabatic then,

Q=0

Therefore, the change in entropy of the system is also zero i.e. entropy of the system is constant.

Hence, the entropy is constant for the reversible adiabatic process.


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