Question

Thermometer A bomb calorimeter, or constant volume calorimeter, is a device often used to determine the heat of combustion of fuels and the energy content of foods. Ignition wires heat sample Stirrer Since the "bomb" itself can absorb energy, a separate experiment is needed to determine the heat capacity of the calorimeter. This is known as calibrating the calorimeter. Water In the laboratory a student burns a 0.568-g sample of tridecanedioic acid (C13H2404) in a bomb calorimeter containing 1080. g of water. The temperature increases from 25.90 °C to 29.10 °C. The heat capacity of water is 4.184 Jg7 loc-1. The molar heat of combustion is -7397 kJ per mole of tridecanedioic acid. C13H2404(s) + 17 02(g) —>13 CO2(g) + 12 H2O(1) + Energy Insulated outside chamber Sample dish Burning sample Steel bomb Calculate the heat capacity of the calorimeter. Combustion (bomb) calorimeter. heat capacity of calorimeter = J/°C

Answer 1

q_rxn = q_H2O + q_calorimeter

Q = [m x Cp x (Tf - Tc) ] + [C x (Tf - Tc)]

where C = heat capacity of calorimeter ; m = mass; c = specific heat: ΔT = temp. difference; Q = Heat absorbed or Released.

m = 1080. g; c = 4.184 J/g/°C; ΔT = 29.10 - 25.90 = 3.2°C;

Q = heat released by 0.568 g tridecanedioic Acid

molar mass of tridecanedioic Acid = 244.3273 g/mol

moles = 0.568 g / 244.3273 g/mol = 0.00232475044 mole

Q = 0.00232475044 mol x -7397 kJ/mol = 17.1961790598 kJ = 17196.1790598 J

17196.1790598 J = [1080.0 g x 4.184 J/g/°C x 3.2°C] + [ C x 3.2°C]

17196.1790598 J - 14459.904 J = [ C x 3.2°C]

C = 2736.2750598 J / 3.2°C = 855.085956188 J/°C

heat capacity of calorimeter = 855.1 J/°C

Thermometer A bomb calorimeter, or constant volume calorimeter, is a device often used to determine the heat of combustion of fuels and the energy content of foods. Ignition wires heat sample Stirrer Since the "bomb" itself can absorb energy, a separate experiment is needed to determine the heat capacity of the calorimeter. This is known as calibrating the calorimeter. Water In the laboratory a student burns a 0.568-g sample of tridecanedioic acid (C13H2404) in a bomb calorimeter containing 1080. g of water. The temperature increases from 25.90 °C to 29.10 °C. The heat capacity of water is 4.184 Jg7 loc-1. The molar heat of combustion is – 7397 kJ per mole of tridecanedioic acid. C13H2404(s) + 17 02(g) —>13 CO2(g) + 12 H2O(1) + Energy Insulated outside chamber Sample dish Burning sample Steel bomb Calculate the heat capacity of the calorimeter. Combustion (bomb) calorimeter. heat capacity of calorimeter = 855.1 J/°C

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