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Stearic acid \( \left[\mathrm{CH}_{3}\left(\mathrm{CH}_{2}\right)_{16} \mathrm{CO}_{2} \mathrm{H}\right] \) is a fatty acid, the part of fat that stores most of the energy. \( 1.0 \mathrm{~g} \) of stearic acid was burned in a bomb calorimeter. The bomb had a heat capacity of 652 \( \mathrm{J} /{ }^{\circ} \mathrm{C} \). If the temperature of \( 500 \mathrm{~g} \) water \( \left(c=4.18 \mathrm{~J} / \mathrm{g}{ }^{\circ} \mathrm{C}\right) \) increase from \( 25.0 \) to \( 39.3^{\circ} \mathrm{C} \), how much heat was released when the stearic acid was burned? [Given \( C_{p}\left(\mathrm{H}_{2} \mathrm{O}\right)=4.18 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C} \) ]
(a) \( 39.21 \mathrm{~kJ} \)
(b) \( 29.91 \mathrm{~kJ} \)
(c) \( 108 \mathrm{~kJ} \)
(d) \( 9.32 \mathrm{~kJ} \)
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