1. The Helmholtz function of a certain gas is given by v – nb)T² F(T,V) = -nRT |1+ In an? пф V where n is the number of moles of gas, T is the temperatures of the gas, V is the volume of the gas, and a, b, and ø are constants. (a) Derive the equation of state, the entropy, and the internal energy of the gas.

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1. The Helmholtz function of a certain gas is given by
(V — пb)TZ
(V –:
an?
F(T,V) = -nRT 1+ In
пф
V
where n is the number of moles of gas, T' is the temperatures of the gas, V is the volume of
the gas, and a, b, and o are constants.
(a) Derive the equation of state, the entropy, and the internal energy of the gas.
Transcribed Image Text:1. The Helmholtz function of a certain gas is given by (V — пb)TZ (V –: an? F(T,V) = -nRT 1+ In пф V where n is the number of moles of gas, T' is the temperatures of the gas, V is the volume of the gas, and a, b, and o are constants. (a) Derive the equation of state, the entropy, and the internal energy of the gas.
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