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  • Consider a Carnot's cycle operating between <img alt="\mathrm{T_{1}=500 \mathrm{~K}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7BT_%7B1%7D%3D500%20%5Cmathrm%7B%7EK%7D%7D"

Consider a Carnot's cycle operating between \mathrm{T_{1}=500 \mathrm{~K}} and \mathrm{T_{2}=300 \mathrm{~K}} producing \mathrm{1 \mathrm{~kJ}} of mechanical work per cycle. Find the heat transferred to the engine by the.reservoirs.

Option: 1

1500 \mathrm{~J}


Option: 2

1000 \mathrm{~J}


Option: 3

2000 \mathrm{~J}


Option: 4

 None of these


Answers (1)

best_answer

\mathrm{\frac{Q_{2}}{Q_{1}}=\frac{T_{2}}{T_{1}}=\frac{3}{5}, Q_{1}-Q_{2}=10^{3} \mathrm{~J}}

\mathrm{Q_{1}\left(1-\frac{3}{5}\right)=10^{3} \mathrm{~J} \Rightarrow Q_{1}=\frac{5}{2} \times 10^{2} \mathrm{~J}=2500 \mathrm{~J}, Q_{2}=1500 \mathrm{~J}}

Posted by

Gautam harsolia

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