A simple partition function The partition function of a hypothetical system is given by In Z = aT*V, where a is a constant. Evaluate the mean energy E, the pressure P, and the entropy S.

Q: (a) Answer the following questions about entropy-volume relationships: (i) For a general system, use…

A: (a) Helmholtz free energy is  A=U-TS Derivative is  dA=dU-TdS-SdT…

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Q: dU =T dS – P dV Re-arrange the thermodynamic identity by solving for dS. Assume we are applying this…

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Q: S = A Given the fundamental relationship (NU\2/3 for entropy, where A is constant, fundamental…

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Q: -Consider a lassi cal ideal gas Comsisting of N atoms of mass M in thermal equui'li bniem at Canprte…

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Q: = T T V

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Q: a Inz' Show that PK, = 1- P() for a real gas where Kr is the isothermal compressibility.

A: Given, kT is isothermal compressibilitykT= -1v∂v∂PT  ....(1)

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Q: A highly non-ideal gas has an entropy given by S=aNU/V, where the internal  energy, U is a function…

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