Question

The workdone in an adiabatic change in an ideal gas depends upon:

• A. change in its pressure
• B. change in its volume
• C. change in its specific heat
• D. change in its temperature

Hint:

In an adiabatic process, work done depends on the change in volume, not on pressure or temperature directly. The specific heat determines the relationship between pressure and volume.

Answer 1

The Correct Option is B

In an adiabatic process, there is no heat exchange, and the work done depends on the change in volume. This is given by the relationship: \[ W = \int_{V_i}^{V_f} P \, dV \] where \( P \) is the pressure, \( V_i \) and \( V_f \) are the initial and final volumes. Thus, the work done is determined by the change in volume.