A bomb calorimeter, or constant volume calorimeter, is a device often used to de

Question

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. Since the "bomb" itself can absorb energy, a separate experiment is needed to determine the heat capacity of the calorimeter. This is knov calibrating the calorimeter In the laboratory a student burns a 0.462-g sample of xanthone (C13HgO2) in a bomb calorimeter containing 1160. g of water. The temperature increases from 25.70 °C to 28.20 °C. The heat capacity of water is 4.184Jg1oc1 The molar heat of combustion is-6067 kJ per mole of xanthone. Ci3H8O2(s) + 14 02(g)-13 C02(g) + 4 H 0(l) + Energy Calculate the heat capacity of the calorimeter. heat capacity of calorimeter

Explanation / Answer

heat of combustion = - 6067 kJ / mol

moles of xanthone = 0.462 / 196.19 = 2.355 x 10^-3 mol

mass of water = 1160. g

Q = n x delta H

   = 2.355 x 10^-3 x 6067

   = 14.287 kJ

   = 14286.94 J

specific heat = 4.184 J / g oC

Q = m Cp dT + Cp dT

14286.94 = 1160 x 4.184 x (28.20 - 25.70) + Cp (28.20 - 25.70)

14286.94 = 12133.6 + 2.50 Cp

Cp = 861.336 J / oC

heat capacity of calorimeter = 861 J / oC

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