Question

Statement-1: In a process if initial volume is equal to the final volume, work done by the gas is zero. Statement-2 : In an isochoric process work done by the gas is zero.

Answer 1

Statement-1: False Statement-2: True

Answer 2

• Statement-1: Even if the initial and final volumes are equal, the gas can undergo a cyclic process (e.g., expansion followed by compression) where the net work done is the area enclosed by the process path. Hence, work done may not be zero.

• Statement-2: In an isochoric process, there is no change in volume (dV = 0). Since work done $W = \int P \, dV$, it follows that work done is zero.