JAMB Chemistry 2023 Paper

Concept:Boyle's law states that for a fixed mass of gas at constant temperature, pressure and volume are inversely proportional.Explanation:The mathematical relationship is $P_1V_1 = P_2V_2$.Initial conditions: $P_1 = 2.0\ \text{atm}$ and $V_1 = 4.0\ \text{L}$.Final pressure: $P_2 = 1.0\ \text{atm}$; final volume $V_2$ is unknown.Substitute the values: $(2.0)(4.0) = (1.0)(V_2)$.Solve for $V_2$: $V_2 = \frac{2.0 \times 4.0}{1.0} = 8.0\ \text{L}$.Since the pressure is reduced to half, the volume should double, which matches this result.Answer:The new volume of the gas is $8.0\ \text{L}$, so the correct option is C.