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A reversible heat engine operates with two environments. In the first, it draws 12000KW from a source at 400oC and in the second, it draws 25000KW from a source at 100oC

In both the operations, the engine rejects heat to a thermal sink at 20oC. Determine the operation in which the engine delivers more power.

Mumbai university > Mechanical Engineering > Sem 3 > Thermodynamics

Marks: 12M

Year: May 2016

1 Answer
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A reversible engine operates with two sources separately:

Operation 1:

$T_H1=400+273=673K,T_L=20+273=293K,Q_H1=12000kW,$

Operation 2:

$T_H2=100+273=373K,Q_H2=25000kW$

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To find: operation in which the engine will develop more power

Analysis:

Operation I:

The efficiency of a reversible heat engine

$η_1=\frac{1-T_L}{T_H1} =\frac{1-293}{673}=0.5646$

Power developed by the engine in the operation 1

$P_1=η_1×Q_H=0.5646×12000=6775.63kW$

Operation 2:

The …

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