# Physics: P1

Specific Heat Capacity / Specific Latent Heat

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## Specific Heat Capacity

Specific Heat Capacity

Specific heat capacity is the energy needed to raise the temperature of 1kg of material by 1'C.

Each material has its own value, which is a measure of how much energy it can hold.

• The following equation is used to find the amount of energy required to find the amount of energy required to raise the temperature of an object by a certain amount.
• Energy(J) = Mass(kg) x Specific heat capacity (J/kg'C) x Temperature change('C)

Example 1. The specific heat capacity of copper is 387J/kg'C. Calculate how much hear energy is required to raise the temperature of a 5kg block of copper by 10'C.

Use the formula.

=5kg x 387J/kg'C x 10'C = 19350

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## Specific Heat Capacity

Specific Heat Capacity:

Example 2. It takes 29,800J if heat energy to raise the temperature of a 4kg block of aluminium by 8'C. Calculate heat capacity of aluminium.

Rearrange the formula.

Specific heat capacity = Energy divided by mass x temperature change

= 28,800 divided by 4 x 8 = 900J/kg'C

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## Specific Latent Heat

Specific Latent Heat:

• The amount heat energy required to melt or boil 1kg of a material is called the specific latent heat.

It depends on:

• the material
• the state (solid,liquid,gas).

The energy required to boil or melt a certain mass of a material can be found using the following equation:

Energy (J) = Mass (kg) x Specific latent heat (J/kg)

Example 1. The specific latent heat of ice is 330,000J/kg. An ice sculpture with a mass of 10kg is left to melt on a hot day. Calculate the amount of energy required to melt the ice. Using the equation:

Energy = Mass x Specific latent heat

= 10 x 330 000 = 3 300 000J

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