In a Carnot engine, the temperature of the reservoir is 927 ° C and that of sink is 127 ° C . If the work done by the engine when it transfers heat from the reservoir to sink is 12.6 × 10 6 J, the quantity of heat absorbed by the engine from the reservoir is

Question

In a Carnot engine, the temperature of the reservoir is 927 ° C and that of sink is 127 ° C . If the work done by the engine when it transfers heat from the reservoir to sink is 12.6 × 10 6 J, the quantity of heat absorbed by the engine from the reservoir is, 18 .9 × 10 6 J, 20 .5 × 10 6 J, 15 .7 × 10 6 J, 12 .6 × 10 6 J

MARKS App · Accepted Answer

Given, T 1 = 273 + 927 = 1200 K T 2 = 273 + 127 = 400 K and W = 12. 6 × 10 6 J We know, the efficiency of a Carnot engine, η = 1 - T 2 T 1 , where T 2 T 1 η = 1 - 400 1200 = 1 - 1 3 = 2 3 and η = Work done ( W ) Heat supplied ( Q ) 2 3 = 12.6 × 10 6 Q ⇒ Q = 12.6 × 10 6 2 × 3 = 18.9 × 10 6 J

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