The specific heat of a substance is given by C = a + bT, where $a=1.12\mathrm{kJ}{\mathrm{kg}}^{-1}{\mathrm{c}}^{-1}\mathrm{\&}\mathrm{b}=0.016\mathrm{kJ}- {\mathrm{kgc}}^{-1}{\mathrm{k}}^{-1}$. The amount of heat required to raise the temperature of 1.2 kg of the material from 280 K to 312 K is