A constant volume (bomb) calorimeter has a total heat capacity (C_v) of 10.84 kJ

Question

A constant volume (bomb) calorimeter has a total heat capacity (C_v) of 10.84 kJ/degree C when it contains 1.00 kg of water. (In these types of calorimeters, the vessel in which the reaction of interest occurs is surrounded by water to increase the total heat capacity of the assembly.) 987g portion of water was introduced into the calorimeter described above, and this apparatus was used to carry out an experiment in which a 1.056g sample of benzoic acid was combusted. Before the combustion reaction was initiated the temperature of the assembly was measured to be 23.32 degree C. Calculate the maximum temperature reached after the combustion reaction, using the information that Delta E_comb of benzene is -26.42 kJ/g.

Explanation / Answer

dEcomb = -26.42 kJ/g

              = -26.42 x 1.056

              = -27.90 kJ = -27.90 x 10^3 J

27.90 x 10^3 = 987 x 4.184 (Tf - 23.32)

Tf = final temperature

So,

Tf = 30.10 oC

So final temperature of mixing is 30.10 oC

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