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What is the heat capacity of the bomb? a 12 6-g sample of acetylene, C_2H_2, pro

ID: 950767 • Letter: W

Question

What is the heat capacity of the bomb? a 12 6-g sample of acetylene, C_2H_2, produced a tempera-ture increase of 16.9degreeC in the same calorimeter. What is the j energy of combustion of acetylene (in kJ/mol)? The combustion of 0.1584 g benzoic acid increases the tem- I perature of a bomb calorimeter by 2.54degreeC. Calculate the heat capacity of this calorimeter. (The energy released by combus- j tion of benzoic acid is 26.42 kJ/g.) A 0.2130-g sample of van- 1 illin (C_8H_8O_3) is then burned in the same calorimeter, and the temperature increases by 3.25degreeC. What is the energy of combustion per gram of vanillin Pc mole of vanillin? the enthalpy of combustion of solid carbon to form carbon carbon, and the enthalpy of comb

Explanation / Answer

1) heat released = mass x heat of combustion of benzoic acid

so

heat released = 0.1584 x 26.42

heat released = 4.184928 kJ

now

heat capacity = heat / temp change

so

heat capacity = 4.184928 / 2.54

heat capacity = 1.64761

so

the heat capacity of the calorimeter is 1.64761 kJ / C

2)

now

heat = heat capacity x temp change

so

heat = 1.64761 x 3.25

heat = 5.35473

this heat is due to combustion of vanillin

now

heat of combustion per gram = heat / mass

= 5.35473 / 0.2130

= 25.1396 kJ / g

so

energy of combustion per gram of vanillin is 25.1396 kJ


now

1 mole of vanillin = 152 g

so

energy per mole = 25.1396 x 152 = 3821.2

so

energy of combustion per mole of vanillin is 3821.2 kJ

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