(a)[2]
Determine the gas temperature.
(b(i))[2]
The average kinetic energy $E_K$ of one molecule of the gas is given by $E_K = \frac{3}{2}kT$, where $k$ is the Boltzmann constant and $T$ is the thermodynamic temperature. The gas is heated at constant pressure so that its temperature increases by $125\,\text{K}$. Use your answer in (a) to work out the new volume of the gas.
(b(ii))[3]
Calculate the rise in internal energy of the gas. Show your working.
(c(i))[2]
Use your answer in (b)(i) to find the external work done in the gas expansion.
(c(ii))[1]
Calculate the total thermal energy needed to heat the gas in (b).