KTGMedium
Question
The molar heat capacity C for an ideal gas going through a process is given by C = 
, where ′a′ is a constant. If g = 
, the work done by one mole of gas during heating from T0 to ηT0 will be:
, where ′a′ is a constant. If g = , the work done by one mole of gas during heating from T0 to ηT0 will be:Options
A.a ln η
B.
C.alnη − 
RT0
RT0D.alnη − (g − 1)RT0
Solution
(C)
dW = dQ − dU
dW = nCdT − nCVdT
W =
=
− CV ᐃT
= a ln
W = a ln η
dW = dQ − dU
dW = nCdT − nCVdT
W =
=
− CV ᐃT = a ln
W = a ln η
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