(1) Consider the reversible Carnot cycle with 1.25mol of an ideal gas with CV,m=5R/2 as the working substance. The initial isothermal expansion occurs at the hot reservoir temperature of Thot=740K from an initial volume of 3.75L(Vo) to a volume of 12.8L(Vb). The system then undergoes an adiabatic expansion until the temperature falls to Tcold=310K. The system then undergoes an isothermal compression and a subsequent adiabatic compression until the initial state described by T2=740K and Va=3.75L is reached. Calculate a) Vc and Vd. b) w and DS for each step in the cycle and for the total cycle. c) the efficiency e. d) the amount of heat that is extracted from the hot reservoir to do 1.0kJ of work in the surroundings