# Relation between Thermal Capacity and Specific Heat

## Thermal Capacity:

Thermal Capacity of a body is defined as the quantity of heat required to raise its temperature by unity.

Let the mass of a body be m and its specific heat is s. Heat gained by the body to raise its temperature by unity is H = m.s.1 = ms. By definition, this is the thermal capacity. It is usually denoted by the symbol C.

Hence, thermal capacity of a body = mass of the body x specific heat capacity of its material.

### Units of Thermal Capacity:

The unit of Thermal Capacity in SI is J.K-1.

## Relation between Thermal Capacity and Specific Heat:

We know that the thermal capacity of a body,

= mass of the body x specific heat of its material

specific heat of the material,

= thermal capacity of the body/mass of the body

If the mass of the body is 1, the specific heat of the material = thermal capacity of the body.

Hence, the thermal capacity of the unit mass of a body is the specific heat of its material.