Question

chegg The enthalpy of combustion of acetone is –11.63 kJ/g. Combustion of 2.53 g of acetone causes a temperature rise of 3.03°C in a certain bomb calorimeter. What is the heat capacity of this bomb calorimeter?

Answer 1

The heat capacity of this bomb calorimeter is 9.71 kJ/ °C

What is Heat Capacity?

• A physical feature of matter known as heat capacity or thermal capacity is the quantity of heat that must be applied to an object in order to cause a unit change in temperature.
• Heat capacity is measured in joules per kelvin (J/K), the SI unit.
• A broad property is heat capacity. The specific heat capacity, which can be calculated by dividing an object's heat capacity by its mass, is the comparable intense attribute.
• The molar heat capacity is obtained by dividing the heat capacity by the molecular weight of the substance.
• The heat capacity per volume is gauged by the volumetric heat capacity. The term "thermal mass" is frequently used in architecture and civil engineering to describe a building's ability to hold heat.

solution:

According to the data given in the question, we have

The heat of combustion for the acetone = -11.63 kJ/g  (Here the negative sign depicts the release of heat and only magnitude is considered for the heat capacity)

The given mass of acetone = 2.53g

The change in temperature due to the combustion = Δt = 3.03 °C

Now, using formula for the heat capacity is given as:

Heat capacity (C) = $\frac{Q \times M}{ \delta t}$

or , C =  $\frac{11.63 \times 2.53}{3.03}$

or, C = 9.71 kJ/ °C

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