Question

If the pressure of a gas is increased by two-fold at a constant volume, the work done by the gas will be _____?

• A. zero
• B. tripled
• C. doubled
• D. quadrupled

Answer 1

Answer:

A. zero

• When the pressure of a gas is increased at constant volume, no work is done because the volume does not change.

• Hence, the work done is zero. The volume is constant, no work is done by the gas (W = 0).

• W=PΔV,where W is the work done, P is the pressure, and ΔV is the change in volume.

• Since the problem states that the volume is constant, the change in volume, ΔV, is zero.

• Therefore, the work done is:W=P×0=0