Phthalates used as plasticizers in rubber and plastic products are believed to act as hormone mimics in humans. The value of $\backslash$ Delta Hcomb for dimethylphthalate $(\mathrm{C} 10 \mathrm{H} 10$ O4) is $-4685 \mathrm{~kJ} / \mathrm{mol}$. Assume $0.840 \mathrm{~g}$ of dimethylphthalate is combusted in a calorimeter whose heat capacity (Ccalorimeter) is $7.65 \mathrm{~kJ} / \backslash \operatorname{deg} \mathrm{C}$ at $21.5 \backslash \operatorname{deg} \mathrm{C}$. What is the final temperature of the calorimeter?

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∻Solution∻ ‖ 1 ⋮ **Calculate the moles of dimethylphthalate**: To find the final temperature, we first need to calculate the number of moles of dimethylphthalate that were combusted. The molar mass of dimethylphthalate (C$_{10}$H$_{10}$O$_4$) is calculated by adding the atomic masses of its constituent atoms: (10 × 12.01 g/mol for carbon) + (10 × 1.01 g/mol for hydrogen) + (4 × 16.00 g/mol for oxygen) = 194.19 g/mol. The number of moles is then found by dividing the mass of the sample by the molar mass: $\frac{0.840 ext{ g}}{194.19 ext{ g/mol}}$. ‖ ‖ 2 ⋮ **Calculate the heat released**: Using the heat of combustion and the number of moles calculated in step 1, we can find the total heat released during the combustion. The heat released (q) is the product of the heat of combustion ($\Delta H_{ ext{comb}}$) and the number of moles (n): $q = n imes \Delta H_{ ext{comb}}$. ‖ ‖ 3 ⋮ **Determine the final temperature**: The heat released will be absorbed by the calorimeter, causing an increase in temperature. The change in temperature ($\Delta T$) can be calculated using the heat capacity of the calorimeter (C$_{ ext{calorimeter}}$) and the heat released: $\Delta T = \frac{q}{C_{ ext{calorimeter}}}$. The final temperature is then the initial temperature plus the change in temperature: $21.5 ^\circ C + \Delta T$. ‖ ∻Answer∻ ⚹ [Insert final answer here] ⚹ ∻Key Concept∻ ⚹ Calorimetry is the process of measuring the amount of heat released or absorbed during a chemical reaction. ⚹ ∻Explanation∻ ⚹ In this problem, we use calorimetry to determine the final temperature of the calorimeter after the combustion of dimethylphthalate by calculating the heat released and relating it to the temperature change. ⚹◊What is the formula to calculate the final temperature of the calorimeter after combustion?⍭ Generate me a similar question◊

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