A Carnot engine for 1.00 mol of a monoatomic ideal gas has an efficiency of 50.5

Question

A Carnot engine for 1.00 mol of a monoatomic ideal gas has an efficiency of 50.50% with a hot reservoir temperature of 1050 K and a cold reservoir temp of 624K. A. If the system absorbs 50.0 kJ of heat in the hot reservoir, how much heat is rejected to the cold reservoir, and in which step does this occur? B. How much work is done by the system? C. If the initial volume of the isothermal expansion step is 20.00 L, what is the final volume? D. How much total work is done by the system (not net work)? How much total work is done on the system?

Explanation / Answer

The work done is just the area under the curve in a P-V diagram. In your case, the area is just a rectangle, so find the area of the rectangle, and you've found the work: W = P·?V = (3.5x10^5 Pa)(0.016 m^3) = 5600 J

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