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An ideal gas whose adiabatic exponent eq...

An ideal gas whose adiabatic exponent equals `gamma` is expanded so that the amount of heat transferred to the gas is equal to the decrease of its internal energy. Find :
(a) the molar heat capacity of the gas in the process ,
The equation of the process in the variables `t, V` ,
( c) the work performed by one mole of the gas when its volume increases `eta` times if the initial temperature of the gas is `T_0`.

Text Solution

Verified by Experts

It is given that in the thermodynamic process amount of heat supplied is equal to the decrease in internal energy of gas thus we have in the process
dU=-dQ
or `nC_VdT=-nCdT`
or `C=-C_V=-R/(gamma-1)` …(3.94)
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