A Carnot engine absorbs an amount Q of heat from a reservoir at an absolute temperature T and rejects heat to a sink at a temperature of T/3. The amount of heat rejected is

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Q/4

Q/3

Q/2

2Q/3

answer is B.

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Detailed Solution

∵η=1−T2T1=WQ1=Q1−Q2Q1 where Q1= heat absorbed, Q2= heat rejected ⇒1−T/3T=WQ1⇒23=WQ1=Q1−Q2Q1⇒23=1−Q2Q1⇒Q2Q1=13⇒Q2=Q13=Q3

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