Molar heat capacity for an ideal monoatomic gas

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Sunny Kumar
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A monatomic ideal gas undergoes a process in which the ratio of P to V at any instant is constant and equals to 1.

What is the molar heat capacity of the gas?
(A) 4R/2
(B) 3R/2
(C) 5R/2
(D) 0
 
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A two dimensional monoatomic gas of N particle ocupying an area A has its partition function given by
z=A^n/n!h^2n(360ktm)^n.
Obtain the equation of state, heat capacity and the entropy