The initial temperature of a bomb calorimeter is 28.50°C. When a chemist carries out a reaction in this calorimeter, its temperature decreases to 27.45°C. If the calorimeter has a mass of 1.400 kg and a specific heat of 3.52 J/(gi°C), how much heat is absorbed by the reaction? Use .

5174.4Joules

Explanation:

Heat capacity is defined as the quantity of heat required to raise the temperature of total mass of a substance by 1Kelvin. Mathematically,

Q = mc∆t where;

Q is the amount of heat absorbed (in Joules)

m is the mass of the substance (bomb calorimeter) in g or kg

c is the specific heat capacity of the bomb calorimeter in J/g°C

∆t is the change in temperature in °C

Given m = 1.4kg

Since 1kg = 1000g

1.4kg = (1.4×1000)g

m = 1.4kg = 1400g

c = 3.52J/g°C

∆t = final temperature - initial temperature

Since heat was absorb (heat gained), final temperature will be 28.5°C

Initial temperature = 27.45°C

Substituting the data given into the heat capacity formula will give us;

Q = 1400×3.52×(28.5-27.45)

Q = 1400×3.52× 1.05

Q = 5174.4Joules

Amount of heat absorbed by the reaction is 5174.4Joules