The temperature T_L of the cold reservoirs and the temperatures T_H of the hot reservoirs for four Carnot heat engines are Rank these engines according to their efficiencies, least to greatest A) 3, 4, 1, 2 B) 1 and 2 tie, then 3 and 4 tie C) 2, 1, 3, 4 D) 1, 2, 4, 3 E) 2, 1, 4, 3

Question

Quizplus · Accepted Answer

The efficiency of a Carnot cycle is given by: efficiency = 1 - (Tc/Th) Where Tc is the temperature of the cold reservoir and Th is the temperature of the hot reservoir. Based on the given temperatures, we can calculate the efficiencies of each engine: For engine 1: efficiency = 1 - (T_L/T_H) = 1 - (11/100) = 0.89 For engine 2: efficiency = 1 - (T_L/T_H) = 1 - (11/200) = 0.945 For engine 3: efficiency = 1 - (T_L/T_H) = 1 - (22/200) = 0.89 For engine 4: efficiency = 1 - (T_L/T_H) = 1 - (22/100) = 0.78 Therefore, the ranking of the engines from least to greatest efficiency is 4, 3, 1, 2. The correct answer is E.

The Temperature TL of the Cold Reservoirs and the Temperatures

The Temperature T_L of the Cold Reservoirs and the Temperatures