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Molar Mass Formula

Calculate the molar mass of a compound by summing atomic masses.
Includes examples for water, glucose, and NaCl.

The Formula

M = sum of (number of atoms × atomic mass) for each element

Molar mass is the mass of one mole (6.022 × 10²³ particles) of a substance. It is expressed in grams per mole (g/mol).

To find it, add up the atomic masses of every atom in the chemical formula. Atomic masses are found on the periodic table.

Variables

SymbolMeaning
MMolar mass (g/mol)
nNumber of atoms of each element in the formula
AAtomic mass of each element (from periodic table, in amu)

Common Atomic Masses

ElementSymbolAtomic Mass (amu)
HydrogenH1.008
CarbonC12.011
NitrogenN14.007
OxygenO15.999
SodiumNa22.990
ChlorineCl35.453
CalciumCa40.078
IronFe55.845

Example 1 — Water (H₂O)

Find the molar mass of water (H₂O)

Hydrogen: 2 × 1.008 = 2.016

Oxygen: 1 × 15.999 = 15.999

M = 2.016 + 15.999 = 18.015 g/mol

Example 2 — Table Salt (NaCl)

Find the molar mass of sodium chloride (NaCl)

Sodium: 1 × 22.990 = 22.990

Chlorine: 1 × 35.453 = 35.453

M = 22.990 + 35.453 = 58.443 g/mol

Example 3 — Glucose (C₆H₁₂O₆)

Find the molar mass of glucose (C₆H₁₂O₆)

Carbon: 6 × 12.011 = 72.066

Hydrogen: 12 × 1.008 = 12.096

Oxygen: 6 × 15.999 = 95.994

M = 72.066 + 12.096 + 95.994 = 180.156 g/mol

When to Use It

  • Converting between grams and moles in chemistry problems
  • Calculating the amount of reactants needed for a chemical reaction
  • Determining concentration of solutions (molarity = moles / liters)
  • Stoichiometry — balancing chemical equations in terms of mass
  • Pharmaceutical dosing calculations

Converting Between Grams and Moles

moles = mass (g) / molar mass (g/mol)

For example, 36.03 grams of water = 36.03 / 18.015 = 2.0 moles of water.


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