Question: (a) Use the fundamental potential E(V , S, N) for the nonrelativistic, classical, perfect gas [Eq. (5.9c)] to derive Eqs. (5.11) for the gas pressure,

(a) Use the fundamental potential E(V , S, N) for the nonrelativistic, classical, perfect gas [Eq. (5.9c)] to derive Eqs. (5.11) for the gas pressure, temperature, and chemical potential.

E(V, S, N) = N -2/3 V 2 S 5 3) (+)

* ex ( +/- / - -) - 2/3 N 3kB N (b) Show that these equations of state satisfy Maxwell relations (5.10b).

3 3h 4mgs (5.9c) (c) Combine these equations of state to obtain the ideal-gas equation of state

which we derived in Ex. 3.8 using kinetic theory.

Data from Exercises 3.8

E(V, S, N) = N -2/3 V 2 S 5 3) (+) * ex ( +/- / - -) - 2/3 N 3kB N 3 3h 4mgs (5.9c)

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To derive the equations of state 511 from the fundamental potential EV S N and show that they satisfy the Maxwell relations 510b we will follow these steps a Derive the equations of state for gas pres... View full answer

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