Q. During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of Cp/Cv for the gas is
A) 4/3
B) 2
C) 5/3
D) 3/2
Explanation
[Solution from source] For an adiabatic process PV^γ = constant combined with PV = nRT gives P ∝ T^(γ/(γ − 1)). Setting γ/(γ − 1) = 3 gives γ = 3γ − 3, so γ = 3/2. 5/3 is the monatomic value and does not satisfy the given relation. Answer (4).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.