Work done by an ideal Carnot engine

Question

The Sun radiates energy at the rate of 3.80×1026 W from its 5500C surface into dark empty space (a negligible fraction radiates onto Earth and the other planets). The effective temperature of deep space is -270C. (a) What is the increase in entropy in one day due to this heat transfer? (b) How much work is made unavailable?

Answer 1

Question

Chapter 18, Problem 26P

To determine

Work done by an ideal Carnot engine

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The Sun radiates energy at the rate of 3.80×1026 W from its 5500C surface into dark empty space (a negligible fraction radiates onto Earth and the other planets). The effective temperature of deep space is -270C. (a) What is the increase in entropy in one day due to this heat transfer? (b) How much work is made unavailable?

Questions 18 through 20 pertain to the situation described below: A 2.30-mol ideal diatomic gas, initially at temperature 123.0°C, expands adiabatically to triple its volume. The same final state can be reached by an isothermal expansion followed by an isobaric cooling. (18) What is the work done by the gas during the adiabatic expansion? (A) 6.73 kJ; (B) 6.43 kJ; (C) 6.13KJ; (D) 5.83 kJ; (E) 5.53 kJ. (19) What is the work done by the gas during the isothermal expansion? (A) 12.7 kJ; (B) 11.7 kJ; (C) 10.7kJ; (D) 9.7kJ; (E) 8.7 kJ. (20) What is the heat removed from the gas during the isobaric cooling? (A) 9.73 kJ; (B) 9.43 kJ; (C) 9.13 kJ; (D) 8.83 kJ; (E) 8.53 kJ.

An ideal Carnot heat engine operates between 385 K and 460 K. What is its efficiency? O 0.61 O 0.38 O 0.62 O 0.16