The work done by expansion at constant temperature To of a particular system from a V volume Vo to a volume V is given by W = NkT, In. Vo We also know that, for this system, its entropy is : S= N k- Vo (T V. To 1. Calculate the Helmholtz free energy F of the system. 2. Determine the equation of state of the system. 3. Calculate the work done at an arbitrary temperature T by an expansion from volume V, to volume V.
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In the given system, the temperature is constant, the process is isothermal.
The Helmholtz free energy F is given by
The Helmholtz free energy is
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