Molar heat capacity for an ideal monoatomic gas

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In the discussed process, a monatomic ideal gas maintains a constant pressure-volume ratio of 1. The molar heat capacity for this gas is determined to be 5R/2. Additionally, the partition function for a two-dimensional monatomic gas is provided, leading to the derivation of the equation of state, heat capacity, and entropy. The calculations involve parameters such as area, particle number, and temperature. Overall, the discussion focuses on thermodynamic properties and statistical mechanics of ideal gases.
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
 
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