In a Carnot engine , the temperature of the reservoir is `927^@C ` and that of sink is `127^@C` . If the work done by the engine when it transfers heat from the reservoir to sink is `12.6xx10^6 J` . the quantity of heat absorbed by the engine from the reservoir is

Options

A. `16.8 xx 10^6` J
B. `4 xx 10^6` J
C. `7.6 xx 10^6` J
D. `4.2 xx 10^6` J

Answer

A

Explanation

`eta=1-(T_2)/(T_1)=(W)/(Q_1)`
`implies (12.6xx10^6)/(Q_1)=1-((27+273))/((927+273))`
`implies Q_1=Wxx4/3=12.6 xx10^6 xx 4/3=16.8xx10^6J`