# What is the specific heat capacity

## Internal energy - heat capacity

#### calculation

The specific heat capacity \ (c \) of a body is determined by the equation for changing the internal energy \ (\ Delta E _ {\ rm i} = c \ cdot m \ cdot \ Delta \ vartheta \).
Dissolving according to the heat capacity supplies

\ [\ bbox [lightgreen, 1em, border: 2px solid gray] {c = \ frac {\ Delta E _ {\ rm i}} {m \ cdot \ Delta \ vartheta}} \]

with the change in the internal energy \ (\ Delta E _ {\ rm i} \), the mass \ (m \) of the body and the temperature difference \ (\ vartheta \).

The unit of the specific heat capacity is accordingly: \ [\ left [c \ right] = \ frac {{\ left [{\ Delta {E _ {\ rm {i}}}} \ right]}} {{\ left [m \ right] \ cdot \ left [{\ Delta \ vartheta} \ right]}} = \ frac {{\ rm {J}}} {{{\ rm {kg}} \ cdot K}} \]

The specific heat capacity is a measure of the energy that is required to \ (1 \, \ rm {kg} \) a substance by \ (1 \, \ rm {K} \) or \ (1 ^ {\ circ } \, \ rm {C} \) to heat up.

#### High specific heat capacity of water

With \ (4190 \, \ rm {\ frac {J} {kg \ cdot \ rm {K}}} \) water has a very high heat capacity. 1 kg of water has to be supplied with an energy of approx. 4190 joules to increase the water temperature by \ (1 \, \ rm {K} \) or \ (1 \, ^ {\ circ} \ rm {C} \) increase.
The large specific heat capacity of water is of great importance for the climate of our earth. Due to its high specific heat capacity, the sea stores significant amounts of energy in summer without heating up too much. This energy is released again in winter. The climate by the sea is therefore relatively balanced all year round, and there are only small differences in temperature. In areas that are further away from the sea (middle of the continents), the temperature differences are much greater than in areas near the sea (→ continental climate).