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Multiple Choice
The temperature rises from 25.00°C to 29.00°C when 3.50 g of sucrose (C12H22O11, molar mass 342.3 g/mol) undergoes combustion in a bomb calorimeter. Calculate ΔE for the combustion of sucrose in kJ/mol sucrose, given that the heat capacity of the calorimeter is 4.50 kJ/°C.
A
-2900 kJ/mol
B
-3420 kJ/mol
C
-4500 kJ/mol
D
-5630 kJ/mol
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Verified step by step guidance
1
Determine the change in temperature (ΔT) by subtracting the initial temperature from the final temperature: ΔT = 29.00°C - 25.00°C.
Calculate the total heat absorbed by the calorimeter (q_calorimeter) using the formula q_calorimeter = C_calorimeter × ΔT, where C_calorimeter is the heat capacity of the calorimeter.
Since the heat absorbed by the calorimeter is equal to the heat released by the combustion of sucrose, q_combustion = -q_calorimeter.
Calculate the number of moles of sucrose combusted using the formula: moles of sucrose = mass of sucrose / molar mass of sucrose.
Determine the change in internal energy (ΔE) for the combustion of sucrose in kJ/mol by dividing the heat released (q_combustion) by the number of moles of sucrose combusted.