The temperature of the sink of a Carnot engine is 250 K . In order to increase the efficiency of the Carnot engine from 25 % to 50 % , the temperature of the sink should be increased by

Step-by-step solution

Efficiency of the carnot engine is given by, η = 1 - T sin k T s o u r c e . Case 1: 25 100 = 1 - 250 T s o u r c e ⇒ 250 T s o u r c e = 1 - 1 4 ⇒ T s o u r c e = 1000 3   K Case 2: 50 100 = 1 - 250 T s o u r c e ⇒ 250 T s o u r c e = 1 - 1 2 ⇒ T s o u r c e = 500   K The temperature of the sink should be increased by, = 500   K - 1000 3   K = 1000 6   K