Show, by calculating net work and heat supplied, that for a carnot heat engine using air as a working medium, the carnot efficiency is \eta _{c}=1-t_{l}/t_{h} . a carnot heat engine cycle is executed in a closed system using 0.5 kg as a working fluid. initially the air is at a pressure of 100 kpa and a specific volume of 1 m3/kg and the maximum pressure in the cycle is 2,500 kpa. determinea) the carnot efficiencyb) the amount of work output if the specific volume increases during heat addition by a factor of 5.