Numford
The mole

Grams to moles

0.500 molin 22 g of CO₂

Molar mass

Molar mass. The mass of one mole in grams: add the atomic mass of every atom in the formula. Masses. Standard atomic masses to two decimals, hydrogen 1.008, every element to uranium. Typing. Ca(OH)2, (NH4)2SO4, CuSO4.5H2O and K4[Fe(CN)6] all work.

44.01g/mol

CO₂

  • C× 127.29%
  • O× 272.71%
  1. C1 × 12.0112.01
  2. O2 × 16.0032.00
  3. Total44.01 g/mol

Grams, moles, particles

Type any one. The other three fill in. Moles. From grams, particles or litres they are rounded to 3 significant figures first, as in a worked answer. 1 mol = 6.022 × 10²³ particles = 22.7 L of gas at STP (1 bar); 22.4 L at 1 atm.

0.500 mol of CO₂ = 3.011 × 10²³ molecules

At 1 atm (older value): 11.20 L

Empirical formula

1. Take 100 g, so each percentage is grams. 2. Divide by the atomic mass to get moles, then by the smallest. 3. Multiply by 2, 3 or 4 if a ratio ends in .5, .33 or .25. Molecular formula. Add the molar mass: n = molar mass ÷ empirical formula mass.
%
%
%
Empirical formulaCH₂Cl49.48 g/mol
Molecular formulaC₂H₄Cl₂n = 98.96 ÷ 49.48 = 2
Elementg in 100 g÷ mass÷ leastWhole
H4.074.0382.002
C24.272.0211.001
Cl71.652.0211.001

Limiting reagent

1. The equation is balanced for you. 2. Each mass becomes moles, divided by its coefficient. 3. The smallest runs out first: it is the limiting reagent and sets how much product forms. Leave a mass empty if that reactant is in excess.

N₂ + 3 H₂ → 2 NH₃

  • N₂1784 mol ÷ 1 = 17843.67 kg left over
  • H₂4960 mol ÷ 3 = 1653Limiting

Formed

  • NH₃3307 mol56.3 kg
Worked example

The NCERT way

moles = mass (g) ÷ molar mass (g/mol)

How many moles are there in 22 g of carbon dioxide, CO₂?

  1. Molar mass of CO₂ = 12.01 + 2 × 16.00 = 44.01 g/mol.
  2. Moles = mass ÷ molar mass = 22 ÷ 44.01 = 0.500 mol.
  3. 22 g of CO₂ is 0.500 mol.
Questions

Grams to moles: quick answers

How do you convert grams to moles?

Divide the mass in grams by the molar mass in g/mol. The answer is the amount of substance in moles.

How many moles are in 22 g of CO₂?

The molar mass of CO₂ is 44.01 g/mol, so 22 g is 22 ÷ 44.01 = 0.500 mol.

Why do we use moles instead of grams?

Equations count particles, not grams. A mole always holds the same number of particles, 6.022 × 10²³, so moles let you read an equation as amounts you can weigh.

Open the mole calculator