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Question

A monoatomic ideal gas is used in a carnot engine as the working substance.  If during the adiabatic compression the volume of the gas decreases from v to v8, the efficiency of the engine is 
 


A
0.5
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B
0.25
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C
0.75
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D
0.4
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Solution

The correct option is C 0.75
Let the temperature of the gas increases from T1  and T2 during adiabatic compression 
T1Vr11=T2Vr12
T2T1=(V1V2)r1=(8)23=4
Efficency η=1T1T2=114=0.75
 

Physics

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