
1) Let gas is compressed suddenly, So no heat is supplied from outside (i.e. Q = 0) but the temperature of the gas in the gas increases due to compression,
C = Q/m∆T = 0
2) Let the gas is heated in a way that the temperature is constant (∆T = O) then,
C = Q/m∆T = Q/mXo = α
Hence, depending upon conditions of heating. The value of C will be different.