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, heat exchange is absent, and work performed is contingent upon the volume alteration. This is quantified by the equation:\[W = \int_{V_i}^{V_f} P \, dV\]where \( P \) signifies pressure, and \( V_i \) and \( V_f \) represent the initial and final volumes, respectively.Consequently, the work performed is dictated by the volume change.