JAMB Chemistry 2015 Paper

Concept:Boyle’s law describes the inverse relationship between pressure and volume for a fixed mass of gas at constant temperature.Explanation:For a fixed quantity of gas kept at constant temperature, the pressure $P$ is inversely proportional to its volume $V$.This inverse proportionality is written as $P \propto \frac{1}{V}$.Removing the proportionality sign introduces a constant $k$, so $PV = k$.For two different states of the same gas, this becomes $P_1V_1 = k$ and $P_2V_2 = k$.Equating the two expressions gives $P_1V_1 = P_2V_2$.This is exactly the equation given in the question.Charles’s law involves volume and temperature, Graham’s law involves rates of diffusion, and Avogadro’s law relates volume and number of moles.None of these laws is represented by the equation.Thus, the equation supports Boyle’s law.Answer:B. Boyle’s law