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Q.

A Carnot’s engine whose sink is at 300 K has an efficiency of 40%. By how much should the temperature of source be increased to increase the efficiency to 50%?

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a

500K

b

600K

c

100K

d

200K

answer is C.

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Detailed Solution

efficiency of carnot engine is n1=1−T2T1⇒40100=1−300T1⇒300T1=1−40100=100-40100=60100=35⇒300T1=35⇒T1=500Knew effficiency is 50%  50100=1−T2T11 T2T11=1−50100=50100=12⇒300T11=12⇒T11=600KΔT1=T11-T1 =600−500=100K= the temperature of source to be increased
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