What is the highest possible $\%$ theoretical efficiency $($Carnot$)$ of a heat engine operating with a hot reservoir of furnace gases at $1100$oC when the cooling water is at $30$oC

Question $3$ options:

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$77\mathrm{.}9\%$

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$83\mathrm{.}3\%$

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$82\mathrm{.}5\%$

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$75\mathrm{.}1\%$