An ideal gas is expanding such that PT= constant. The coefficient of volume expansion of the gas is
(A) 1 /T
(B) 2/T?
(C) 3 /T
(D) 4 /T

Question

An ideal gas is expanding such that PT= constant The coefficient of
volume expansion of the gas is
(A) 1 /T
(B) 2/T?
(C) 3 /T
(D) 4 /T

Udbhav Singh · Accepted Answer

Dear Student,
PT=k
Also, Coefficient of Volume Expansion
γ=1V×dVdT 
1Also,PV=nRTPTV=nRT2Using 1, we havekV=nRT2differentating w
r t
 T, we have dVdT=(nR)2Tk1V×dVdT=1V×(nR)2Tk=2nRTkVUsing 1 and 2γ=2Pk=2PPT=2Tγ=2T

Option 2 is the answer

Regards

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An ideal gas is expanding such that PT= constant. The coefficient of volume expansion of the gas is (A) 1 /T (B) 2/T? (C) 3 /T (D) 4 /T

An ideal gas is expanding such that PT= constant. The coefficient of volume expansion of the gas is
(A) 1 /T
(B) 2/T?
(C) 3 /T
(D) 4 /T