JAMB Chemistry 2022 Paper

Concept:Charles's law states that at constant pressure, the volume of a fixed mass of gas is directly proportional to its absolute temperature.Explanation:First, convert the temperatures from Celsius to Kelvin:$T_1 = 0^\circ\text{C} + 273 = 273\,\text{K}$$T_2 = 15^\circ\text{C} + 273 = 288\,\text{K}$Using Charles's law formula:$\frac{V_1}{T_1} = \frac{V_2}{T_2}$Make $V_2$ the subject of the formula:$V_2 = \frac{V_1 \times T_2}{T_1}$Substitute the given values:$V_2 = \frac{29.5 \times 288}{273} = 31.1\,\text{cm}^3$Answer:The volume of the gas at $15^\circ\text{C}$ is $31.1\,\text{cm}^3$.Therefore, the correct option is D.