Three designs are proposed for an engine which is to operate between 500 ~K and 300 ~K . Design A claims to produce 150 ~J of work per 1000 ~J of heat input, design B 450 ~J of work per 1000 ~J and design C 300 ~J of work per 1000 ~J . Which of the design would you choose?

Step-by-step solution

Given, temperature, T₁=500 ~K , T₂=300 ~K Efficiency of the engine, =1- T₂ T₁ array ll & =1- 300 500 & = 2 5 =0.4 array For design A, work done = 150 J Heat input = 1000 J aligned Efficiency of design A & = Work done Heat input & = 150 1000 =0.15 aligned For design B, work done = 450 J Heat input = 1000 J aligned Efficiency of design B & = Work done Heat input & = 450 1000 =0.45 aligned For design C, work done = 300 J Heat input = 1000 J Efficiency of design aligned C & = Work done Heat input & = 300 1000 =0.3 alig