If C for an ideal gas is given by C V = (3 + 2T) R, Where T…

Physics Thermodynamics Adiabatic Process MCQ (Single Correct)

If C for an ideal gas is given by C V = (3 + 2T) R, Where T is absolute temperature of gas, then the equation of adiabatic process for this gas is:

VT 2 = constant

VT 3 e –2T = C

VT 2 e 2T = constant

VT 3 e 2T = constant

Text Solution

Verified by Experts

The correct answer is:

C V = (3 + 2T) R

dQ = dU + PdV

adiabatic process dQ = 0

0 = Rn (3 + 2T) dT + PdV

0 = Rn (3 + 2T) dT + dV =

– logV = 3logT + 2T + C

– logV – logT 3 = 2T + C

logVT 3 = – 2T – C

logVT 3 = – 2T

VT 3 = e –2T = C

VT 3 e 2T = C

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