JAMB 2013 Physics · Question 24

A gas at a pressure of 105Nm−2Nm^{-2}expands from 0.6m-3 to 1.2m3 at constant temperature, the work done is

Options

  1. A.7.0 x 106J
  2. B.6.0 x 10 6J
  3. C.6.0 x 10 5J
  4. D.6.0 x 10 4J

Answer: D. 6.0 x 10 4J

Explanation written with AI and checked against the answer key

Analyze the question: A gas expands against a constant pressure, and we need the work done. The question text is garbled, so let's read it carefully: the pressure is probably 10⁵ N/m² (written "105"), and the volume goes from 0.6 m³ to 1.2 m³.

Concept: For a gas expanding at constant pressure, work done is

W = P × ΔV = P(V₂ − V₁)

Solution:

  • ΔV = 1.2 − 0.6 = 0.6 m³
  • If P = 10⁵ N/m²: W = 10⁵ × 0.6 = 6.0 × 10⁴ J

Check on the reading of "105": If the pressure were literally 105 N/m², then W = 105 × 0.6 = 63 J, which is not among the options. So the intended pressure must be 10⁵ N/m², which is also standard atmospheric pressure, a typical value in JAMB questions.

Answer: W = 6.0 × 10⁴ J, which is option D.

Tip: When an exponent is lost in formatting, such as "105" for 10⁵, check which reading gives an answer among the options. Also remember that W = PΔV is the area under a P–V graph. Always compute ΔV first, as final minus initial.

AI can make mistakes. Report anything that looks wrong.

Past questions © the examination body (JAMB/WAEC/NECO). DeeepSolve is not affiliated with them. Rights holders: see /copyright.