A gas with a mass of 0.125 kg
is contained in a rigid container
with a volume of 2.5 m^{3}. The gas is heated, increasing its
temperature by 35 K and also increasing its pressure, as shown in the diagram.
Calculate the change in the internal energy of the gas due to its heating.
Use a value of 1.75 kJ/kg⋅K
for the specific heat capacity of a constant volume of the gas.
Assume the heating of the container is negligible. Give your answer to the nearest kilojoule.