Physics

Relation between Specific Heat and Thermal Capacity

We know, the amount of heat required to increase the temperature of a body through 1K is called its heat capacity. Again if the specific heat of the material of a body is S, then S joule heat is required to raise the temperature of the body through 1K.

Therefore, to increase the temperature through 1K of a body with a mass of 1kg the amount of heat required = S Joule

To increase the temperature through 1K of a body with a mass of m kg the amount of heat required = mS joule

It is the heat capacity of the body with a mass of m kg.

:. Heat capacity, C = mS joule

or, Heat capacity = mass x specific heat

Specific heat = Heat Capacity/mass

It is the relation between heat capacity and specific heat.