A system at constant pressure consists of \(10 \mathrm{~kg}\) of air at a temperature of \(1000 \mathrm{~K}\). Calculate the maximum amount of work which can be obtained from the system if the dead-state temperature is \(300 \mathrm{~K}\), and the dead-state pressure is equal to the pressure in the system. Take the specific heat at constant pressure of air, \(c_{p}\), as \(0.98 \mathrm{~kJ} / \mathrm{kg} \mathrm{K}\) (see P2.8, Chapter 2). \([3320.3 \mathrm{~kJ}]\)