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Questions  

Pick out the incorrect statement among the following 

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

detailed solution

Correct option is A

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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