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Question

# Fructose is a sugar commonly found in fruit. A sample of fructose, $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6$, weighing $4.50 \mathrm{~g}$ is burned in a bomb calorimeter. The heat capacity of the calorimeter is $2.115 \times 10^4 \mathrm{~J} /{ }^{\circ} \mathrm{C}$. The temperature in the calorimeter rises from $23.49^{\circ} \mathrm{C}$ to $27.71^{\circ} \mathrm{C}$. (a) What is $q$ for the calorimeter? (b) What is $q$ when $4.50 \mathrm{~g}$ of fructose is burned? (c) What is $q$ for the combustion of one mole of fructose?

Solution

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Given:

Fructose $(\text{C}_6\text{H}_{12}\text{O}_6)$ is burned in a bomb calorimeter under the following conditions:

• $m_{\text{fructose}}=4.50~\text{g}$
• $C_{\text{cal}}=2.115\times10^4~\frac{\text{J}}{\degree{\text{C}}}$
• $t_i=23.49\degree{\text{C}}$
• $t_f=27.71\degree{\text{C}}$

The problem asks for a.) $q_{\text{cal}}$ b.) $q_{\text{reaction}}$ c.) $q_{\text{reaction per mole}}$.

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