The enthalpy of sublimation of aluminium is \(330\,\text{kJ mol}^{-1}\). Its I\(^\text{st}\), II\(^\text{nd}\) and III\(^\text{rd}\) ionization enthalpies are 580, 1820 and \(2740\,\text{kJ mol}^{-1}\) respectively. How much heat must be supplied in kJ to convert 13.5 g of aluminium into Al\(^{3+}\) ions and electrons at 298 K?