(a)[3]
Show that the gas temperature $T$ is approximately $300\,\text{K}$.
(b)[2]
The gas is heated at constant volume until it reaches $350\,\text{K}$. For this change, its specific heat capacity is $0.66\,\text{J kg}^{-1}\text{K}^{-1}$. Calculate the energy supplied to the gas by heating.
(c)[3]
Explain how the motion of the gas molecules leads to pressure in the container.
(d)[2]
A gas temperature is linked to the root-mean-square (r.m.s.) speed of its molecules. Calculate the ratio: $\dfrac{\text{r.m.s. speed of gas molecules at }350\,\text{K}}{\text{r.m.s. speed of gas molecules at }300\,\text{K}}$.