How does Dalton's law calculate the total pressure of a mixture of gases?

Dalton’s law, formulated by the English scientist John Dalton in 1801, states that the total pressure of a mixture of gases is equal to the sum of the partial pressures of each individual component gas.12

The law is calculated using the following relationship:

$$p=p_1+p_2+\dots$$

In this equation:
* $p$ represents the total pressure of the gas mixture.2
* $p_1,p_2,\dots$ represent the partial pressures of each individual gas species present in the mixture.2

A partial pressure is defined as the pressure that a specific gas would exert if it alone occupied the entire volume of the mixture at the same temperature. This empirical rule assumes that there is no chemical interaction between the component gases and is considered valid for ideal gases, as well as real gases under conditions of sufficiently low pressure and high temperature.132