(a)[2]
State the meaning of the internal energy of a system.
(b)
An ideal gas occupies a container with volume $2.30 \times 10^{-3}\,\text{m}^{3}$, pressure $2.60 \times 10^{5}\,\text{Pa}$ and temperature $180\,\text{K}$, as shown in Fig. 2.1. The gas is heated while the pressure stays constant, and its volume changes to $3.80 \times 10^{-3}\,\text{m}^{3}$ at a temperature $T$. For this fixed mass of gas, calculate:
(b(i))[2]
the quantity of substance, in mol.
(b(ii))[2]
the value of temperature $T$, in K.
(c(i))[3]
For the change in (b), $980\,\text{J}$ of thermal energy is supplied to the gas. Determine the work done on the gas during this change. Show your working.
(c(ii))[1]
Determine the change $\Delta U$ in the gas’s internal energy.