A (1 mathrm{~g}) sample of fuel is burned in a bomb calorimeter containing (1 mathrm{~kg}) of water

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A \(1 \mathrm{~g}\) sample of fuel is burned in a bomb calorimeter containing \(1 \mathrm{~kg}\) of water at an initial temperature of \(20^{\circ} \mathrm{C}\). After the reaction, the final temperature of the water is \(30^{\circ} \mathrm{C}\). The heat capacity of the calorimeter is \(837 \mathrm{~J} /{ }^{\circ} \mathrm{C}\). The specific heat of water is \(4.184 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}\). Calculate the heat of combustion of the fuel in \(\mathrm{kJ} / \mathrm{mol}\).

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