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JEE Main 202227 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
27 June
Shift
Morning Shift
Subject
Physics
Chapter
Thermodynamics

JEE Main 2022 · 27 June · Morning Shift · Physics · Thermodynamics

In a carnot engine, the temperature of reservoir is 527 ° C and...

In a carnot engine, the temperature of reservoir is 527°C527 ° C and that of sink is 200K200K. If the workdone by the engine when it transfers heat from reservoir to sink is 12000kJ12000kJ, the quantity of heat absorbed by the engine from reservoir is _____ ×106J\times {10}^{6}J.

Correct answer

0

Step-by-step solution

Efficiency of Carnot engine is η=1−TLTH=WQη = 1 - \dfrac{{T}_{L}}{{T}_{H}} = \dfrac{W}{Q}, where, QQ is heat absorbed.

Here, TH=527+273=800K{T}_{H} = 527 + 273 = 800K

Now, η=1−200800=12Qη = 1 - \dfrac{200}{800} = \dfrac{12}{Q}

∴34=12000Q∴ \dfrac{3}{4} = \dfrac{12000}{Q}

∴Q=16×106J∴ Q = 16 \times {10}^{6}J

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