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Molar Mass Calculator

Molecular Weight and g/mol of Any Formula With Per-Element Breakdown

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How the Molar Mass Calculator works

This molar mass calculator reads any chemical formula, including brackets such as Ca(OH)2, square brackets in complexes and hydrates written with a dot like CuSO4·5H2O, and adds up the atomic masses to give grams per mole. It shows the sum element by element, the mass of a single molecule, and how many moles are in a sample if you enter its mass.

Molar mass is the mass of one mole of a substance, 6.022 × 10²³ formula units, in grams. It links the mass you can weigh on a balance to the number of particles that take part in a reaction, so it is the first number you need for almost every calculation in chemistry. Atomic masses here are the IUPAC standard values, rounded the way most textbooks print them.

How the molar mass calculator works

The formula is simple: molar mass = Σ (number of atoms × atomic mass) over every element in the formula. Brackets multiply everything inside them by the number after, and a hydrate dot adds the water molecules on the end. The result is in g/mol, which is numerically the same as the molecular weight in daltons.

First example. Calcium hydroxide, Ca(OH)2, has 1 Ca, 2 O and 2 H: 40.078 + 2 × 15.999 + 2 × 1.008 = 74.092 g/mol. A 10 g sample is 10 ÷ 74.092 = 0.135 mol.

Second example. Copper sulfate pentahydrate, CuSO4·5H2O, has 1 Cu, 1 S, 9 O and 10 H once the five waters are counted, which gives 249.677 g/mol. Forgetting the water gives 159.6 g/mol, a 36% error.

How many grams are in one mole of water? Two hydrogens and one oxygen give 2 × 1.008 + 15.999 = 18.015 g, so a mole of water is about 18 mL.

Molar masses of common compounds

Compound Formula Molar mass (g/mol)
Water H2O 18.015
Carbon dioxide CO2 44.009
Oxygen O2 31.998
Nitrogen N2 28.014
Methane CH4 16.043
Ammonia NH3 17.031
Sodium chloride NaCl 58.440
Ethanol C2H5OH 46.069
Glucose C6H12O6 180.156
Sucrose C12H22O11 342.297
Sulfuric acid H2SO4 98.072
Hydrochloric acid HCl 36.458
Nitric acid HNO3 63.012
Sodium hydroxide NaOH 39.997
Calcium carbonate CaCO3 100.086
Sodium bicarbonate NaHCO3 84.006
Acetic acid CH3COOH 60.052
Hydrogen peroxide H2O2 34.014
Propane C3H8 44.097
Copper(II) sulfate pentahydrate CuSO4·5H2O 249.677
Potassium permanganate KMnO4 158.032
Calcium hydroxide Ca(OH)2 74.092
Iron(III) oxide Fe2O3 159.687
Aspirin C9H8O4 180.159
Caffeine C8H10N4O2 194.194

Tips and pitfalls

FAQ

How do you calculate molar mass?

Count how many atoms of each element are in the formula, multiply each count by that element's atomic mass from the periodic table, and add the results. For CO2 that is 12.011 + 2 × 15.999 = 44.009 g/mol. Brackets and hydrates just change the counts.

Is molar mass the same as molecular weight?

They are numerically equal but have different units. Molar mass is grams per mole, while molecular weight is the mass of one molecule in daltons or atomic mass units. Water is 18.015 g/mol and one water molecule weighs 18.015 Da, so most people use the terms interchangeably.

What is the molar mass of water?

Water, H2O, has a molar mass of 18.015 g/mol: two hydrogen atoms at 1.008 each plus one oxygen at 15.999. That means 18 g of water, about one tablespoon, contains roughly 6.022 × 10²³ water molecules.

How do I enter brackets and hydrates?

Type the formula as it is printed, for example Mg(NO3)2, K4[Fe(CN)6] or CuSO4·5H2O. The dot in a hydrate can be a middle dot, a full stop or an asterisk. A number after a closing bracket multiplies every atom inside it.

Why do different sources give slightly different molar masses?

Atomic masses are averages over natural isotope mixtures, and IUPAC publishes some as ranges because the mix varies by source. Textbooks round them to different numbers of decimal places, so answers can differ in the second or third decimal without either being wrong.

See also: all Chemistry tools, Physics, Electronics.

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