For a Carnot engine with 10 moles of ideal gas (Cv = 1.5 nR) and operating...

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For a Carnot engine with 10 moles of ideal gas (Cv = 1.5 nR) and operating...

For a Carnot engine with 10 moles of ideal gas (Cv = 1.5 nR) and operating between a hot reservoir of 500 K and a cold reservoir of 300 K,

a) What would be the heat exchanges (q₁) and entropy change (∆S₁) for step 1, where the gas reversibly and isothermally expands to double its volume (V₂ = 2 V₁) at 500 K?

b) What would be the heat exchanges (q₃) and entropy change (∆S₃) for step 3, where the gas is reversibly and isothermally compressed to half its volume (V₄ = 0.5 V₃) at 300 K?

c) What would be the net work done by this Carnot engine within each cycle?

d) What would be the efficiency of this Carnot engine?

Thank you!

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