JAMB 2013 Physics · Question 24
A gas at a pressure of 105expands from 0.6m-3 to 1.2m3 at constant temperature, the work done is
Options
- A.7.0 x 106J
- B.6.0 x 10 6J
- C.6.0 x 10 5J
- 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.
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