Pick out the incorrect statement among the following
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a
If the change in volume of an ideal gas system is zero then the work done by the gas is always zero
b
The specific heat of an ideal gas can be negative
c
Change in internal energy of an ideal gas in isothermal process is zero
d
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