### Meals-ready-to-eat (MREs) are military meals that…

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Oklahoma State University

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Problem 107

(a) When a 0.235 -g sample of benzoic acid is combusted in a bomb calorimeter (Figure 5.19$)$ , the temperature rises $1.642^{\circ} \mathrm{C} .$ When a $0.265-\mathrm{g}$ sample of caffeine, $\mathrm{C}_{8} \mathrm{H}_{10} \mathrm{N}_{4} \mathrm{O}_{2}$ is burned, the temperature rises $1.525^{\circ} \mathrm{C} .$ Using the value 26.38 $\mathrm{kJ} / \mathrm{g}$ for the heat of combustion of benzoic acid, calculate the heat of combustion per mole of caffeine at constant volume. (b) Assuming that there is an uncertainty of $0.002^{\circ} \mathrm{C}$ in each temperature reading and that the masses of samples are measured to $0.001 \mathrm{g},$ what is the estimated uncertainty in
the value calculated for the heat of combustion per mole of caffeine?

(a)$$4.22 \times 10^{3} \frac{k J}{m o l}$$
(b)$$\pm 45 \frac{k J}{m o l}$$

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## Video Transcript

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