Consider the reversible Carnot cycle shown in Figure 5.2 with 1.25 mol of an ide

Question

Consider the reversible Carnot cycle shown in Figure 5.2 with 1.25 mol of an ideal gas with Cv = 5R / 2 as the working substance. The initial isothermal expansion occurs at the hot reservoir temperature of Thot = 740 K from an initial volume of 3.75 L (Va) to a volume of 12.8 L (Vb). The system then undergoes an adiabatic expansion until the temperature fails to Tcold = 310 K. The system then undergoes an isothermal compression and a subsequent adiabatic compression until the initial state described by Ta = 740 K and Va = 3.75 L is reached. Calculate Vc and Vd. Calculate w for each step in the cycle and for the total cycle. Calculate epsilon and the amount of heat that is extracted from the hot reservoir to do 1.00 kJ of work in the surroundings.

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