Molar mass of malachite (Cu₂CO₃(OH)₂)

The molar mass of malachite (Cu₂CO₃(OH)₂) is 221.114 g/mol, summed from the IUPAC standard atomic weights of Cu x 2, C, O x 5, H x 2.

Mass of sample

Amount of substance

mol

Molar mass

221.114g/mol

= Exact Molar mass of malachite

Moles in the sample mass: 0.045 225 54 mol
Mass of that amount of substance: 221.114
Molecules in the sample mass: 2.72355e+22

Show the working

Mass of sample = 10
Amount of substance = 1
Molar mass = 63.546*2 + 12.011 + 15.999*5 + 1.008*2 = 221.114
Moles in the sample mass = 10 / 221.114 = 0.045 225 5
Mass of that amount of substance = 1 * 221.114 = 221.114
Molecules in the sample mass = 0.045 225 5 * NA = 2.72355e+22

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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The formula

Molar mass = sum over elements of (atomic weight x number of atoms)
For Cu₂CO₃(OH)₂: 63.546 x 2 + 12.011 + 15.999 x 5 + 1.008 x 2 = 221.114 g/mol
Moles = mass / molar mass; mass = moles x molar mass
Molecules = moles x 6.02214076 x 10^23 (the Avogadro constant, exact by definition)

Molar mass in grams per mole is numerically equal to the molecular mass in daltons, so this figure doubles as the molecular weight.

Atomic weights are the IUPAC 2021 standard values. Several elements have a range rather than a single value because isotope ratios vary between sources; the conventional single value is used here.

Composition by mass

Element	Atoms	Atomic weight	Contribution (g/mol)	Share of mass
Copper (Cu)	2	63.546	127.092	57.478 %
Oxygen (O)	5	15.999	79.995	36.178 %
Carbon (C)	1	12.011	12.011	5.432 %
Hydrogen (H)	2	1.008	2.016	0.91175 %

Contributions add to the molar mass of 221.114 g/mol. Atomic weights are the IUPAC 2021 standard values.

Frequently asked

What is the molar mass of malachite?

221.114 g/mol, for the formula Cu₂CO₃(OH)₂.

How do you convert grams of malachite to moles?

Divide the mass in grams by 221.114 g/mol. One gram of malachite is 0.00452255 mol.

How many grams are in one mole of malachite?

221.114 g, by definition of the molar mass.

Is molar mass the same as molecular weight?

Numerically yes, for the purposes of this calculation. Molecular weight is a dimensionless ratio and molar mass carries units of g/mol, but the digits are identical.

Where the numbers come from

IUPAC 2021 standard atomic weights; Avogadro constant fixed by the 2019 SI.