A system at constant pressure consists of \(10 \mathrm{~kg}\) of air at a temperature of \(1000 \mathrm{~K}\). This is connected to a large reservoir which is maintained at a temperature of \(300 \mathrm{~K}\) by a reversible heat engine. Calculate the maximum amount of work which can be obtained from the system. Take the specific heat at constant pressure of air, \(c_{p}\), as \(0.98 \mathrm{~kJ} / \mathrm{kg} \mathrm{K}\) [3320.3 kJ]