No ans given is A
I got D
A certain amount of ideal monoatamic gas undergoes, process given by UV1/2 = C where U is the internal energy of the gas. The molar specific heat of the gas for the process will be (c=constant)
A) R/2 B) 3R C) 5R/2 D) -R/2
Plzz post ur working So that we can c if there 's any mistake
I did it this way
C = R/(γ-1) + R/(1-∩)
γ = 5/3
∩ = 3/2 ( since UV1/2 = C => nCv T V1/2 = C => PV3/2 = C )
C = 3R/2 - 2R = -R/2
UV0.5 = c
=> TV0.5 = c
=> √VdT + TdV2√V = 0
=> dV/dT = -2V/T
C = Cv + (RT/V)(-2V/T)
= 3R/2 - 2R
= -R/2