Isobaric expansion work

Steps:

• Identify the process as isobaric since pressure remains constant as the piston moves freely.
• Apply the formula for work done by the gas: W = P (V_f - V_i).
• Solve for final volume: V_f = V_i + W / P.
• Substitute values to find V_f = 3.20 × 10^{-3} m³.

Why C is correct:

• It matches V_f = V_i + W / P from the first law for constant-pressure expansion.

Why the others are wrong:

• A is smaller than initial volume, implying compression where gas cannot do positive work.
• B is also smaller than initial volume, implying compression.
• D overestimates the volume change, exceeding the calculated ΔV = W / P.

Final answer: C