In the case of reversible heat engine, the heat given by the source to engine, is always
higher than that of the maximum work done obtained by the engine.
prove this statement!
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Proof of the statement "In case of reversible heat engine, the heat given by the source to the engine is always higher than the maximum work done by the engine" is as follows:
- Let us consider an example of gas expanding against a piston.
- In a reversible process almost no heat is lost to the surroundings as the process is carried out very slowly.
- Initially the external pressure is equal to the internal pressure. When the external pressure is reduced then very slowly then the gas expands. In an irreversible process the pressure is reduced quickly. The gas has to do work on the surrounding to expand.
- As seen from the plot, the work done is reversible process is greater as compared to irreversible process because the gas works against the maximum external pressure and the loss of energy in terms of heat is less.
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