A heat engine having the maximum possible efficiency has an efficiency of 35.0% when operating between two heat reservoirs. If the temperature of the hot reservoir is 700 K, what is the
Temperature of the cold reservoir?
A) 455 K
B) 200 K
C) 350 K
D) 600 K
E) 245 K

Question

Quizplus · Accepted Answer

The efficiency of a heat engine is given by the equation:```efficiency = 1 - (T_c / T_h)```where:* T_c is the temperature of the cold reservoir* T_h is the temperature of the hot reservoirIf the efficiency is 35.0% and the temperature of the hot reservoir is 700 K, then the temperature of the cold reservoir can be found by solving the equation for T_c:```0.35 = 1 - (T_c / 700 K)T_c = 700 K - 0.35 * 700 KT_c = 455 K```Therefore, the temperature of the cold reservoir is 455 K.

A Heat Engine Having the Maximum Possible Efficiency Has an Efficiency