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Multiple Choice
What is the specific heat capacity of the bomb calorimeter if burning 100.0 moles of sulfamic acid results in a temperature increase of 4.57°C, given that the ΔErn for the combustion of 1 mole of sulfamic acid is -686.2 kJ?
A
20.0 kJ/°C
B
13.4 kJ/°C
C
15.0 kJ/°C
D
10.0 kJ/°C
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검증된 단계별 안내
1
Understand the problem: We need to find the specific heat capacity of the bomb calorimeter. We know the temperature change and the energy change from burning sulfamic acid.
Calculate the total energy change for burning 100.0 moles of sulfamic acid using the given ΔErn value. Multiply the energy change per mole by the number of moles: \( \Delta E_{total} = \Delta E_{rn} \times \text{number of moles} \).
Use the formula for heat capacity: \( C = \frac{q}{\Delta T} \), where \( q \) is the total energy change and \( \Delta T \) is the temperature change.
Substitute the values into the formula: \( C = \frac{\Delta E_{total}}{\Delta T} \).
Solve for \( C \) to find the specific heat capacity of the bomb calorimeter.