N moles of a monoatomic gas is carried round the reversible rectangular cycle ABCDA as shown in the diagram. The temperature at A is To. The thermodynamic efficiency of the cycle is :
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a
15%
b
50%
c
20%
d
25%
answer is A.
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Detailed Solution
η=WQ1=work done by gasHeat supplied W=Area=P0V0=nRT0 and Q1=QAB+QBC=32nRTo+52nR(2T0)=132nRT0 ⇒ %η=nRT0132nRT0×100=15.3%