An ideal gas has molar heat capacity at constant pressure  $C_p=2.5R$  . The gas is kept in closed vessel of volume  $0.0083m^3$  at  $300k$  and pressure  $1.6\times {10}^{6}N/m^2$  . An amount  $2.49\times {10}^{4}J$  of heat energy supplied to gas. Find final temperature of gas