A Carnot engine has the same efficiency between (i) 100 ~K and 600 ~K and (ii) T K and 960 ~K . The temperature T in kelvin of the sink is

Step-by-step solution

array ll & Efficiency of a carnot engine is =1- T_C T_H & For case (i), & T_C=100 ~K and T_H=600 ~K & ₁=1- 100 600 = 5 6 & For case (ii), & T _ C = T K and T _ H =960 ~K & ₂=1- T 960 & Given ₁= ₂ & 5 6 =1- T 960 & 5 6 = 960- T 960 array Solving for T , we get T =160 ~K