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Library / Foundations: Chemistry / FCH-03

Foundations: Chemistry

Moles from mass

Convert the mass of a substance into the amount in moles.

Ref
FCH-03
Rev
v1
Field
Foundations: Chemistry
Result
n [mol]

n is in mol, m in g and Mr is the relative formula mass (molar mass in g/mol).

Chemical reactions work by counting particles, and the mole is the counting unit. Dividing mass by molar mass gives the count.

Calculator

Solve for
mol
g
0.011,000
g/mol
1500
  • Number of particles0.6022 10²³
  • Amount in mmol100 mmol

What drives the result

Each variable is moved across its typical range while the others stay at the values above. The longest bar is the key driver.

Amount (mol) current value 0.1 mol
mMassKey driver
4.17e-441.7
MrRelative formula mass
0.00482.4
  • 24 g of magnesium is exactly 1 mole of atoms.
  • Rearranged: m = n × Mr, which gives the mass needed for a chosen amount.
Chart data as tables

Ranked variables

VariableTypical rangeLowest resultHighest resultSwing (mol)Local stepChange in result
m Mass0.01 to 1,000 g4.167e-441.6741.67+10%+10 %
Mr Relative formula mass1 to 500 g/mol0.00482.42.395+10%−9.09 %

Sweep of Mass

Mass (g)Amount (mol)
0.014.167e-4
0.042170.001757
0.17780.007409
0.74990.03125
3.1620.1318
13.340.5556
56.232.343
237.19.881
1,00041.67

Sweep one variable

Amount (mol)Hover, touch, or use the arrow keys on the chart
010203040 0.010.11101001000 Mass (g), log scale now 0.1

Variables and how each one contributes

n

Amount

Result · mol

What the equation gives you. Everything else feeds it.

m

Mass

g · typical 0.01 to 1,000

Mass of the substance. Directly proportional.

Mr

Relative formula mass

g/mol · typical 1 to 500

Molar mass of the substance (Mg = 24). Inversely proportional.

Worked example with the values above

  1. n = m / Mr = 2.4 g / 24 g/mol.
  2. Divide: 0.1.
  3. n = 0.1 mol.

Assumptions and limits

  • Pure sample.
  • Correct formula used for Mr.

Common mistakes

  • Using the formula mass of the wrong species (atoms versus molecules).
  • Mixing kg and g.

Statistics and uncertainty

Balance precision of ±0.01 g on a 2.40 g sample is about 0.4%, which carries straight into the moles.

Where it is used

  • Weighing out reagents.
  • Starting point for yield, gas volume and concentration problems.

Maths you need

  • Relative formula mass: Mr
  • Division: g per g/mol

Related formulas

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