Emil Clapeyron united all the gas laws mathematically into one ideal gas law:

PV = nRT

In the ideal gas law equation, R is the ideal gas constant.  The value of R can vary depending on the unit used for pressure.

Ideal Gas Law Example:  How much N₂ is required to fill a small room with a volume of 960 cubic feet (27,000 L) to 745mm Hg at 25⁰C?

Ideal Gas Law Example:  What is the volume that 500. g of iodine gas will occupy under the conditions: Temp = 300.^oC and Pressure = 740. mm Hg?

Ideal Gas Law Example Using Stoichiometry:  Find the volume of hydrogen gas produced when 38.2 g zinc reacts with excess hydrochloric acid at a pressure of 107.3 kPa and a temperature of 88°C.

Zn (s) + 2HCl (aq) à ZnCl₂ (aq) + H₂ (g)

Ideal gas Law Example Using Stoichiometry:  What mass of solid magnesium is required to reaction with 250 mL carbon dioxide at 1.5 atm and 77°C to produce solid magnesium oxide and solid carbon?

2Mg (s) + CO₂ (g) à 2MgO (s) + C (s)