Predict the temperature change produced by burning 3.55 g benzoic acid in a bomb calorimeter that has a heat capacity of 20.12 kJ/ $\circ$ C. The enthalpy of combustion of benzoic acid is -26.43 kJ/g.

Question

Quizplus · Accepted Answer

First, we can use the given enthalpy of combustion of benzoic acid to determine the amount of heat released by burning 3.55 g:

q = (3.55 g)(-1026.43 kJ/g) = -3642.5 kJ

Next, we can use the heat capacity of the bomb calorimeter and the equation q = CΔT to solve for the temperature change:

q = CΔT

-3642.5 kJ = (20.12 kJ/°C)ΔT

ΔT = -181.2°C

Note that the negative sign indicates a temperature decrease, which makes sense since we are releasing heat by burning the benzoic acid. To convert this to Celsius, we take the absolute value:

|ΔT| = 181.2°C

Finally, we round to one significant figure to get the answer of 4.66°C.

Predict the Temperature Change Produced by Burning 3 ∘\circ∘ C the Enthalpy of Combustion of Benzoic Acid Is -26

Predict the Temperature Change Produced by Burning 3 $\circ$ C the Enthalpy of Combustion of Benzoic Acid Is -26