Question

A 0.500 g sample of TNT (C₂H₅N₂0₆) is burned in a bomb calorimeter containing 610 grams of water at an initial temperature of 20.0°C. After the reaction, the final temperature of the water is 22.7°C. The heat capacity of the calorimeter is 420 J/°C. How much heat was produced in the combustion of TNT?

a) 3374 kJ
b) 8.04 kJ
c) 2.97 kJ
d) 8025 kJ

Answer 1

The amount of heat produced in the combustion of TNT is 3.374 kJ.

Step-by-step explanation:

To determine the amount of heat produced by the combustion of TNT, we can use the equation q = mCΔT, where q is the heat produced, m is the mass of water, C is the heat capacity of the calorimeter, and ΔT is the change in temperature. Given that the water has a mass of 610 grams and the temperature change is 2.7 degrees Celsius, and the heat capacity of the calorimeter is 420 J/°C, we can calculate the heat produced:

q = (610 g) * (4.184 J/g °C) * (2.7 °C) + (420 J/°C) * (2.7 °C)

q = 3374 J

Converting to kilojoules, we get 3374 J / 1000 = 3.374 kJ

Therefore, the correct answer is (a) 3374 kJ.