Question Detail
Question
In a gas experiment, the pressure of the gas is plotted against the reciprocal of the volume of the gas at a constant temperature. The unit of the slope of the resulting curve is:
Correct Answer
Option C is the correct answer.
Detailed Explanation
For an ideal gas at constant T, P = nRT / V = constant * (1/V). So slope = ΔP / Δ(1/V) = nRT * V? Actually, P vs 1/V gives a straight line through origin with slope = nRT. nRT has dimensions of energy (since PV = energy). So the slope has units of energy, joule.
Hint
For an ideal gas at constant T, P ∝ 1/V. The constant of proportionality is nRT.