Problem 2. (4 Points) For a Carnot engine with 10 moles of ideal gas (Cv=1.5nR) and operating between a hot reservoir of 500K and a cold reservoir of 300K, a. (0.5 Point) What would be the ratio of the final and initial volume? b. (1 Point) What would be the heat exchanges (q1) and entropy change (S1) for step 1 , where the gas reversibly and isothermally expands to its final volume at 500K ? c. (1 Point) What would be the heat exchanges (q3) and entropy change (S3) for step 3, where the gas is reversibly and isothermally compressed to its initial volume? d. (1 Point) What would be the net work done by this Carnot engine within each cycle? e. (0.5 Point) What would be the efficiency of this Carnot engine