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10 April, 05:46

The temperature rises from 25.00°c to 29.00°c in a bomb calorimeter when 3.50 g of sucrose undergoes combustion in a bomb calorimeter. Calculate δerxn for the combustion of sucrose in kj/mol sucrose. The heat capacity of the calorimeter is 4.90 kj/°c. The molar mass of sugar is 342.3 g/mol.

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  1. 10 April, 08:45
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    Energy change for the combustion reaction = - 1921.6 kJ/mol

    Explanation:

    Step 1: Data given

    Initial temperature of calorimeter T1 = 25°C

    Final temperature T2 = 29°C

    Heat capacity of calorimeter c = 4.90 kJ/°C

    Mass of sucrose = 3.5 g

    Molar mass of sucrose = 342.3 g/mol

    Step 2: Calculate the heat gained

    The change in temperature of calorimeter = T2 - T1 = 29.0 °C - 25.0 °C = 4.0°C

    Heat gained by the calorimeter when the temperature changes by 4°C

    = 4°C * 4.90 kJ / 1 C = 19. 6 kJ

    Step 3: Calculate moles of sucrose

    moles sucrose = mass sucrose / molar mass sucrose

    Moles sucrose = 3.50 grams / 342.3 g/mol

    Moles sucrose = 0.0102 moles

    Step 4: Calculate energy change for the combustion reaction

    Energy change for the combustion reaction = - 19.6 kJ/0.0102 moles = - 1921.6 kJ/mol
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