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1

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he chemical potential µ of a monatomic ideal gas as a function of temperature T
and pressure p is given by (m is the mass, and h is the Planck constant)
(i)
Derive the relation between atomic volume (v) and T and p.
(ii)
Derive the entropy per atom for the monatomic gas.
(iii)
Prove that the enthalpy per atom is given by ℎ = 5/2 𝑘𝐵T
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