A cylinder of fixed capacity 44.8 litres contains a monoatomic gas at standard temperature and pressure. The amount of heat required raise temperature of cylinder by ${10}^0$C will be

$$\begin{gathered} 22.4 litre makes 1 mole of any gas \\ \begin{array}{l} number of moles =\mu =44.8/22.4=2\\ raise in temperature = \mathrm{\Delta }T={10}^{0}C; cylinder has fixed volume\\ \therefore amount of heat required at cons\tan t volume=Q_V=\mu C_V\mathrm{\Delta }T=2\times (3/\underset{\_}{2)R}\times 10=30R\end{array} \end{gathered}$$