JAMB Physics 2014 Paper

Concept:Charles’ Law states that at constant pressure, volume is directly proportional to temperature: $\frac{V}{T} = \text{constant}$.Explanation:Given $P^{a}V^{b}T^{c} = \text{constant}$.For Charles’ Law, pressure must not appear, so its exponent must be zero: $a = 0$.The volume must appear to the first power: $b = 1$.The temperature must appear as $T^{-1}$ so that $V T^{-1} = \frac{V}{T}$ is constant: $c = -1$.Therefore, the relation becomes $P^{0}V^{1}T^{-1} = \frac{V}{T} = \text{constant}$, which is Charles’ Law.Answer:D. $a=0$, $b=1$, and $c=-1$