For a system coupled to a work reservoir and heat bath of temperature T, show that...

For a system coupled to a work reservoir and heat bath of temperature T, show that that the work done by the system (on the work reservoirs) is bounded from above by minus the change in Helmholtz free energy. ²

Expert Solution

We will use the equation relating Helmholtz free energy with internal energy, temperature and entropy as follows:

F = U - T.S

Where F is the Helmholtz free energy

U is the internal energy

T is the temperature

and S is the entropy

Since the temperature is maintained constant by the bath, it is an isothermal process

Given below is the detailed derivation:

Amanda K answered 6 months ago

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Question

For a system coupled to a work reservoir and heat bath of temperature T, show that...

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Expert Solution

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