Grade 11 Chemistry · Weighing a gas
Density from the molar mass
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Density from the molar mass

Gases have weight — a litre of the air around you carries about 1.2 g1.2\ \mathrm{g}. The recipe: ρ=PMRT\rho = \dfrac{PM}{RT} — read aloud rho equals P M over R T, where ρ\rho is the Greek letter rho, said “row”, and MM is the molar mass in g/mol. It is the ideal gas law with the mole count traded for grams: heavier particles at the same crowding weigh more per litre. With P in kPa and R=8.314R = 8.314, the answer lands directly in grams per litre.

And this formula is WHY helium floats: air averages about 29 g/mol29\ \mathrm{g/mol}, helium weighs in at 4. Same temperature, same pressure, same particle crowding — one-seventh the freight. Anything with MM below air's 29 rises; anything above it sinks and pools. Keep 1.2 g/L in your pocket as the sanity rail for every answer below.