# Specific Heat

The Specific Heat is the amount of heat required to change a unit mass of a substance by one degree in temperature.

For example, it takes 1 calorie to raise the temperature of 1 gram of water by 1°C. So the specific heat for water is 1 calorie/gram °C = 4.186 joule/gram °C.

Specific Heat Formula can be expressed as
$q=cm\mathrm{\Delta T}$

where:

q is amount of heat energy added.

c is specific heat.

m is mass.

ΔT is change in temperature.

Example 1:

Calculate the heat required to raise 500 grams of water from 30°C to 90°C? (Specific Heat of water = 4.186 joule/gram °C)?

Solution:

Mass of water m = 500 g,

Temperature difference ΔT = 30°C - 90°C = 60°C

Specific Heat of water C = 4.186 joule/gram °C

$\mathrm{Heat\; required\; q}=cm\mathrm{\Delta T}q=\mathrm{4.186\; joule/gram\; \xb0C}x\mathrm{500\; grams}x\mathrm{60\xb0C}=\mathrm{125580\; Joules}$