Final answer:
The amount of heat produced by the combustion of benzene in a bomb calorimeter, given its heat capacity and the observed temperature change, is calculated to be 6576.96 J or 6.57696 kJ.
Step-by-step explanation:
The question deals with the concept of thermochemistry, specifically the use of a bomb calorimeter for measuring the amount of heat produced (ΔH comb) during a combustion reaction. To find the amount of heat produced by the combustion of benzene in the bomb calorimeter, we need to consider the heat absorbed by both the calorimeter and the water in it. This is done by using the provided heat capacity of the bomb calorimeter (784 J/°C) and the temperature change (8.39 °C) it undergone during the reaction.
The calculation to determine the amount of heat produced during the combustion of benzene follows this equation:
qrxn = Cbomb × ΔT
Where:
- qrxn is the total heat produced by the reaction,
- Cbomb is the heat capacity of the bomb calorimeter,
- ΔT is the change in temperature.
By substituting the given values, the amount of heat produced by the combustion of benzene is calculated as follows:
qrxn = (784 J/°C) × (8.39 °C) = 6576.96 J, which can be converted to kilojoules (6.57696 kJ) since heat is often expressed in kJ.