(C) In an adiabatic process,there is no exchange of heat between the system and the surroundings,so $dQ = 0$.By definition,the molar heat capacity $C$

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The molar heat capacity is zero

(C) In an adiabatic process,there is no exchange of heat between the system and the surroundings,so $dQ = 0$.By definition,the molar heat capacity $C$ is given by $C = \frac{dQ}{n dT}$.Since $dQ = 0$,the molar heat capacity $C = 0$.According to the first law of thermodynamics,$dQ = dU + dW$. Since $dQ = 0$,we have $dU = -dW$,which means the work done by the gas is equal to the decrease in internal energy.Therefore,the statement that the molar heat capacity is zero is correct.

Class 11 Physics Thermodynamics Adiabatic Process

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In an adiabatic process,which of the following statements is true?

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A
The molar heat capacity is infinite
B
Work done by the gas equals the increase in internal energy
C
The molar heat capacity is zero
D
The internal energy of the gas decreases as the temperature increases

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In an adiabatic process,which of the following statements is true?

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