Ideal Gas

In order to establish the gas laws, we use the concept of ideal gas. The following is the definition of it:$^1$

• The particles in the gas are extremely small.
• The ideal gas has a constant, random, and straight-line motion.
• No forces between the particles.

Boyle’s Law

Boyle’s law establishes the relation between pressure and volume with temperature and amount of gas being constant.$^1$

Pressure is inversely proportional to Volume.

$$ P \propto \frac1V $$

However a more useful form of this equation is:$^1$

$$ P_1V_1=P_2V_2 = \text{constant} $$

Charles' Law

Charles’ law establishes the relation between Temperature and Volume, assuming that amount of gas and pressure is constant.

Temperature is directly proportional to Volume.

$$ T \propto V $$

The more helpful form of the equation is:$^1$

$$ \frac{T_1}{V_1} = \frac{T_2}{V_2} = \text{constant} $$

Gay-Lussac's law

Gay-Lussac’s law establishes a relation between temperature and pressure.$^1$