Question

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

• 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

Hint:

In an adiabatic process, the system is thermally isolated, so there is no heat transfer. This implies that the change in internal energy is equal to the work done by the system.

Answer 1

The Correct Option is C

For an adiabatic process, \( dQ = 0 \). 
Thus, the molar heat capacity is zero: \[ dQ = 0 \Rightarrow dU = -dW \] Also, \[ dU = \frac{f}{2} nR dT \] Thus, the correct option is: Only option (3) is correct.