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  •   of heat is given to a heat engine and it rejects <img alt="225 \mathrm{cal}" src="/latex-image/?225%20%5Cmathr

300 \mathrm{cal}  of heat is given to a heat engine and it rejects 225 \mathrm{cal} of heat. If source temperature is 227^{\circ} \mathrm{C}, then the temperature of sink will be_____________ { }^{\circ} \mathrm{C}.

Option: 1

102

 


Option: 2

22


Option: 3

67


Option: 4

78


Answers (1)

best_answer

\mathrm{\begin{aligned} &Q_{1}=W+Q_{2}\\ &\eta =\frac{W}{Q_{1}}=\frac{300-225}{300}=\frac{75}{300}\\ &\eta=1-\frac{T_{L}}{T_{H}}=\frac{75}{300}\\ &\frac{T_{L}}{T_{H}}=1-\frac{75}{300}=\frac{3}{4}\\ &T_{L}=\frac{3}{4} \times 500=375 k\\ &T_{L}=375-273\\ &\: \: \: \: \: =102^{\circ} \mathrm{C} \end{aligned}}

Hence the correct answer is 102

Posted by

Divya Prakash Singh

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