In an adiabatic process, which of the following statements is true?
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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.
Work done by the gas equals the increase in internal energy
The molar heat capacity is zero
The internal energy of the gas decreases as the temperature increases
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The Correct Option isC
Solution and Explanation
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.