The efficiency of a Carnot engine found to increase from 25 % to 40 % on increasing the temperature ( T ₁ ) of source alone through 100 K . The temperature ( T ₂ ) of the sink is given by

Step-by-step solution

aligned & ₁=25 %=0.25 & ₁=1- T₂ T₁ 0.25=1- T₂ T₁ T₂ T₁ =0.75 & T₁= 4 T₂ 3 aligned aligned & Now, ₂=40 %=0.4 & ₂=1- T₂ T₁+100 T₂ 4 T₂ 3 +100 =0.6 & 4 T₂ 3 +100= 5 3 T₂ T₂ 3 =100 & T₂=300 ~K aligned