**Facts about Behaviour of Gases**

■ All gases containing equal amount of substances occupy the same volume at the same temperature and pressure

**Gas Laws**

■ Boyle's Law: The pressure of a fixed amount of a gas varies inversely with the volume if the temperature is maintained constant.

■ Charle's Law: The volume of a fixed amount of a gas varies directly with its absolute temperature at constant pressure.

■ Gay-Lussac's Law: At constant volume, the pressure of given mass of gas is directly proportional to the temperature in Kelvin.

■ Avogadro Law: It states that at a given temperature and pressure the volume of a gas is directly proportional to the amount of gas.

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**Ideal Gas Equation**
Boyles law, V ∝ T (n, t constant) ------------- (1)

Charles law, V ∝ T (n, P constant) ------------- (2)

Avogadro's law, V ∝ T (P, T constant) ------------- (3)

Combining the three

V ∝ 1/P x T x n

or V = a constant x nT/P

This constant is known as universal gas constant and is denoted as 'R'

Then, V – R x n x T/P

PV= n x R x T

i.e. PV = nRT

This equation is called Ideal gas equation.

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