a. Calculate Vc and Vd. b. Calculate w for each step in the cycle and the total cycle. c. Calculate the efficiency, ε, and the amount of heat that is extracted from the hot reservoir to do 1.00 kJ of work in the surroundings.
Consider a reversible Carnot cycle with 1.75 mol of ideal gas with Cv = 3R/2 as the working substance. The initial isothermal expansion occurs at the hot reservoir temperature of Thot = 920. K from an initial volume of 4.00 L (Va) to a volume of 11.50 L (Vb). The system then undergoes an adiabatic expansion until the temperature falls to Tcold = 375 K. The system then undergoes an isothermal compression and subsequent adiabatic compression until the initial state described by Ta = 920. K and Va = 4.00L is reached.
a. Calculate Vc and Vd.
b. Calculate w for each step in the cycle and the total cycle.
c. Calculate the efficiency, ε, 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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