(a(i))[1]
State what the symbol $T$ means in the equation.
(a(ii))[1]
Identify what the constant $B$ represents.
(b)
For an ideal gas, the product $pV$ is also written as $pV = \frac{1}{3} N m \langle c^2 \rangle$.
(b(i))[2]
State what the symbols $m$ and $\langle c^2 \rangle$ mean in this equation.
(b(ii))[2]
Use the equations in (a) and (b) to derive an expression, in terms of $A$, $B$ and $T$, for the mean kinetic energy $E_{K}$ of one molecule of the gas.
(c)[2]
On Fig. 4.1, sketch how the root-mean-square (r.m.s.) speed of the molecules of an ideal gas varies with $T$.