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Ch.5 - Thermochemistry
Chapter 5, Problem 57b

A 2.200-g sample of quinone (C6H4O2) is burned in a bomb calorimeter whose total heat capacity is 7.854 kJ/°C. The temperature of the calorimeter increases from 23.44 to 30.57 °C. b. What is the heat of combustion per mole of quinone?

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1
Calculate the temperature change (\( \Delta T \)) of the calorimeter by subtracting the initial temperature from the final temperature.
Use the formula \( q = C_{cal} \times \Delta T \) to calculate the total heat absorbed by the calorimeter, where \( C_{cal} \) is the heat capacity of the calorimeter.
Determine the moles of quinone burned using its molar mass. The molar mass of quinone (C6H4O2) is calculated by adding the atomic masses of its constituent atoms.
Calculate the heat of combustion per mole of quinone by dividing the total heat absorbed by the calorimeter (from step 2) by the moles of quinone (from step 3).
Express the heat of combustion per mole of quinone in kJ/mol.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Heat of Combustion

The heat of combustion is the amount of energy released when a substance undergoes complete combustion with oxygen. It is typically expressed in kilojoules per mole (kJ/mol) and is a crucial parameter in thermochemistry, allowing for the comparison of energy content among different fuels.
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Combustion Apparatus

Calorimetry

Calorimetry is the science of measuring the heat of chemical reactions or physical changes. In this context, a bomb calorimeter is used to measure the heat released during the combustion of quinone, providing a controlled environment to accurately determine the energy changes associated with the reaction.
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Heat Capacity

Heat capacity is the amount of heat required to change the temperature of a substance by one degree Celsius. In the case of the calorimeter, its total heat capacity indicates how much heat is absorbed by the calorimeter itself, which is essential for calculating the heat of combustion of the sample based on the observed temperature change.
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Related Practice
Textbook Question

When a 5.10-g sample of solid sodium hydroxide dissolves in 100.0 g of water in a coffee-cup calorimeter (Figure 5.18), the temperature rises from 20.5 to 33.2 °C. b. Using your result from part (a), calculate ΔH (in kJ/mol NaOH) for the solution process. Assume that the specific heat of the solution is the same as that of pure water.

Textbook Question

(b) Is this process endothermic or exothermic?

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Textbook Question

A 2.200-g sample of quinone (C6H4O2) is burned in a bomb calorimeter whose total heat capacity is 7.854 kJ/°C. The temperature of the calorimeter increases from 23.44 to 30.57 °C. (a) What is the heat of combustion per gram of quinone?

Textbook Question

A 1.800-g sample of phenol (C6H5OH) was burned in a bomb calorimeter whose total heat capacity is 11.66 kJ/°C. The temperature of the calorimeter plus contents increased from 21.36 to 26.37 °C. a. Write a balanced chemical equation for the bomb calorimeter reaction.

Textbook Question

A 1.800-g sample of phenol (C6H5OH) was burned in a bomb calorimeter whose total heat capacity is 11.66 kJ/°C. The temperature of the calorimeter plus contents increased from 21.36 to 26.37 °C. b. What is the heat of combustion per gram of phenol?

Textbook Question

Under constant-volume conditions, the heat of combustion of benzoic acid (C6H5COOH) is 26.38 kJ/g. A 2.760-g sample of benzoic acid is burned in a bomb calorimeter. The temperature of the calorimeter increases from 21.60 to 29.93 °C. c. Suppose that in changing samples, a portion of the water in the calorimeter were lost. In what way, if any, would this change the heat capacity of the calorimeter?