객관식
The combustion of toluene has a ΔErxn of -3.91×10^3 kJ/mol. When 1.55 g of toluene (C7H8) undergoes combustion in a bomb calorimeter, the temperature rises from 23.12 °C to 37.57 °C. Find the heat capacity of the bomb calorimeter.
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8. Thermochemistry
Constant-Volume Calorimetry
객관식
When the combustion of 2.87 g of toluene is performed in a bomb calorimeter, the temperature rises from 20.05 °C to 44.15 °C. Given that the combustion of toluene, C7H8, has a ΔErxn of −3.50 x 10^3 kJ/mol C7H8, what is the heat capacity of the bomb calorimeter in kJ/°C?
A
9.78 kJ/°C
B
3.26 kJ/°C
C
6.52 kJ/°C
D
12.04 kJ/°C
검증된 단계별 안내1
First, calculate the number of moles of toluene (C7H8) combusted. Use the molar mass of toluene, which is approximately 92.14 g/mol. The formula to use is: \( \text{moles of toluene} = \frac{\text{mass of toluene}}{\text{molar mass of toluene}} \).
Next, determine the total energy change (q) for the reaction using the given \( \Delta E_{\text{rxn}} \) value. The formula is: \( q = \text{moles of toluene} \times \Delta E_{\text{rxn}} \).
Calculate the change in temperature (\( \Delta T \)) of the calorimeter using the initial and final temperatures: \( \Delta T = T_{\text{final}} - T_{\text{initial}} \).
The heat capacity (C) of the bomb calorimeter can be found using the formula: \( C = \frac{q}{\Delta T} \). Substitute the values of q and \( \Delta T \) into this formula.
Finally, compare the calculated heat capacity with the given options to identify the correct answer.
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