$300 \,cal$. of heat is given to a heat engine and it rejects $225 \,cal$. of heat. If source temperature is $227^{\circ} C$, then the temperature of sink will be____${ }^{\circ} C$.
JEE MAIN 2022, Medium
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$1-\frac{Q_{2}}{Q_{1}}=1-\frac{T_{2}}{T_{1}}$
$\frac{ Q _{2}}{ Q _{1}}=\frac{ T _{2}}{ T _{1}}$
$\frac{225}{300}=\frac{ T _{2}}{500}$
$\frac{500 \times 225}{300}= T _{2}$
$375= T _{2}$
$102^{\circ} C = T _{2}$
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