Bomb Calorimeter – Working Principles and Uses

Bomb Calorimeter

The bomb calorimeter is an instrument used in measuring the heat of combustion of a substance. Combustion is always accompanied by the evolution of heat. The amount of heat evolved when one mole of a substance is burned completely in oxygen is known as the heat of combustion (or enthalpy change of combustion).

The standard heat of combustion of a substance, ΔH is the heat evolved when one mole of the substance is burned completely in oxygen under standard conditions.

The heat of combustion is an important quantity since the combustion of fuels forms the main source of energy for industrial and domestic purposes. The energy used by the living body is also obtained from the biological combustion of food. For practical purpose, the relative effectiveness of a fuel is expressed more often in terms of its calorific value which is the amount of heat evolved per kilogram of the substance.

 

                    

 Bomb Calorimeter

A bomb calorimeter is usually used for the accurate determination of the heat of combustion. It consists of a strong cylindrical steel vessel or bomb usually lined with enamel to prevent corrosion. A known mass (about a gram) of the test substance is placed in a platinum crucible inside is about 2 x 106 Nm-2 (20 atm.)

Fuels/

sugars

-ΔHnӨ

(KJ mol-1)

Mr Calorific

Value (KJg-1)

Methane 882 16 55.1
Butane 2 877 58 49.6
Petrol 5 460 ≈114 47.9
Kerosene 8 400 ≈198 42.4
Diesel 8 400 ≈170 49.4
Charcoal 410 12 34.2
Glucose 2 816 180 15.6
Sucrose 5 644 342 16.5

After closing the screw valve, the bomb is immersed in a known mass of water in a well-lagged calorimeter and left to attain a steady temperature. This initial temperature is measured using the thermometer in the calorimeter. The test substance is then ignition coil. The temperature of the water, which is stirred continuously, is recorded at 30-seconds intervals in order to find the maximum temperature attained. From the heat capacity of the whole system (two calorimeters, water, thermometer and stirrer), the temperature rise and the heat generated by the ignition current, it is then possible to calculate the heat of combustion using the bomb calorimeter.

Heat of Solution

When an ionic solid dissolves in water, a two-step process occurs, where each step is accompanied by a heat change. These steps are as follows:

  1. The water molecules split up the ions in the crystal into free ions. This process needs energy known as lattic energy.
  2. The free ions are then hydrated by water molecules. This process evolves energy known as hydration energy.

The resultant heat change of the two steps determines whether the dissolution is exothermic. It is known as the heat of solution.

Generally, when an ionic solute dissolves in a solvent, the overall heat change of the dissolution is as follows.

In hydrated salts where the ions are already extensively hydrated before dissolution, the heat of hydration would very small. Hence, the dissolution of hydrated salt is endothermic.

The extent to which the solute particles become separated and hydrated in aqueous solution varies with the relative amounts of solute and solvent. The two steps become complete only in dilute solution. If a concentrated solution is diluted, there will be a further heat change, the heat of dilution. This heat of dilution gradually decreases so that eventually, increasing the dilution produces no further heat changes. In practice, this occurs when there are 800 – 1 000 moles of water to 1 mole of solute.

The standard heat of solution is the amount of heat absorbed or evolved when one mole of a substance is dissolved in so much water that further dilution results in detectable heat change.

Standard heats of solution of some common solutes in aqueous solution.

Solute Type of heat change -ΔHsolӨ

(KJ mol-1)

Ammonium chloride Endothermic +15.1
Sodium chloride Endothermic +3.8
Ammonium Trioxonitrate (V) Endothermic +26.3
Sodium hydroxide Exothermic -43.0
Potassium hydroxide Exothermic -54.9
Sodium trioxocarbonate (IV) Exothermic -25.0

We can access the solubility of an ionic solid from its heat of solution value. A solid with a positive heat of solution value is not as soluble as one with a negative value.

Since solubility varies with temperature, a substance which

  • Dissolves exothermically would be more soluble at lower temperatures, and
  • Substance which dissolves endothermically would be more soluble at higher temperatures.

Some solutes, when added to water, will react with the water molecules to form entirely new products which then dissolve to form an aqueous solution (chemical solution). For example,

2K(s) + 2H2O(l)  →  2KOH(aq) + H2(g) –ΔH

The heat changes involved in such reactions would include the heat of the reaction between water and the solute, and the heats of solution of the new products.