Pick out the incorrect statement among the following

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If the change in volume of an ideal gas system is zero then the work done by the gas is always zero

The specific heat of an ideal gas can be negative

Change in internal energy of an ideal gas in isothermal process is zero

In adiabatic expansion of ideal gas the internal energy of the gas decreases

answer is A.

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Detailed Solution

1. In a cyclic process the change in volume is zero but work done is not zero so (1) is incorrect statement.2. For a gas which obey’s PVx=constantC=Rγ−1+R1−xWe can see that x can have a range of values, which can make C negative. Hence it is correct.3. dU=nCvdT , for an isothermal process, change in temperature is zero, hence there will be no change in internal energy.4. Using first law of thermodynamics dQ=dU+dW , for adiabatic process dQ=0Hence, dU=−dW. Therefore, during expansion work done is positive, the internal energy decreases.Therefore, the correct answer is A

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