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QUESTION

What's the final temperature in bomb calorimeter if 1.785 grams of benzoic acid (HC7H5O2) is combusted in a calorimeter with heat capacity of 5.02 Kj/C and initial temperature of 24.62 degree Celsius? Heat of combustion for benzoic acid is -26.42 Kj/g.

The final temperature of the calorimeter is 34.0 °C.

Two heats are involved:

a. the heat released by the combustion reaction, q_1. b. the heat gained by the calorimeter as it warms up, q_2.

q_1 + q_2 = 0

mΔH_"c" + C_"cal"ΔT = 0

∆T = T_"f" –T_"i", (where "f" and "i" stand for final and initial

"1.785 g × (-26.42 kJ·g"^-1) + "5.02 kJ°C"^-1 × "(T"_"f" – "24.62) °C = 0"

"-47.16 kJ + 5.02 kJ°C"^-1 × "T"_"f" - "123.59 kJ = 0"

"5.02 °C"^-1 × T_"f" = 123.59 + 47.16 = 170.75"

T_"f" = 170.75/"5.02 °C"^-1 = "34.0 °C"

The final temperature is 34.0 °C.

Note: The answer can have only three , because that is all you gave for the heat capacity of the calorimeter.. If you need more precision, you will have to recalculate.