Hydrogen peroxide Solution Preparation

How many grams of hydrogen peroxide to weigh for any molarity and volume, with a full recipe table.

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To prepare a solution of hydrogen peroxide you need the grams, and grams is molarity × volume in litres × 34.014 g/mol. A litre of 1 M takes 34.014 g; 500 mL of 0.1 M takes 1.7007 g; 250 mL of 0.01 M takes 85.035 mg. Enter the strength you want and the volume you want it in, and the calculator returns the mass to weigh together with the same figure in milligrams and as a percentage strength.

The figure comes from the formula. Hydrogen peroxide is 2 × 1.008 (H) + 2 × 15.999 (O), which is 34.014 g/mol, taking standard atomic weights, and every page here computes that sum rather than quoting it. Oxygen makes up the largest share of the mass: 2 of the 4 atoms in a formula unit are oxygen, and they account for 31.998 g of the 34.014 g, or 94.07% by mass. The derivation table below breaks the whole molecule down element by element.

Order of operations matters more than precision here. Dissolve the solid in rather less than the final volume, then make up to the mark once it has all gone into solution and come back to room temperature — warm solutions read low when they cool. If the calculated mass is under about 20 mg, prepare ten times the strength and dilute it tenfold by pipette instead, because C₁V₁ = C₂V₂ carries less error than a marginal weighing.

Sold at 3% for first aid, 6% for hair and 35% for industry. It decomposes to water and oxygen, faster when warm or contaminated. At 34.014 g/mol it is heavier than 6 of the 11 gases and small molecules covered here, and that ranking matters more than it looks: oxygen has a molar mass of 31.998 g/mol, so a gram of it contains 6.3% more formula units than a gram of hydrogen peroxide. Weigh by mass and you are not weighing equal amounts of substance.

Because this is a gas, volume is often the easier measure. One mole of any ideal gas occupies 22.414 L at 0 °C and 1 atm and 24.4655 L at 25 °C, so 34.014 g of hydrogen peroxide — one mole — fills about 24.47 litres at room temperature. Real gases depart from that by a percent or so, more near their boiling point, but for ordinary work the molar volume is the quickest route from grams to litres.

The formula

m = c × (V ÷ 1000) × 34.014
c
The molarity you want, in mol/L
V
The volume you want to make, in millilitres
34.014
The molar mass of hydrogen peroxide in g/mol, derived from its formula
m
The mass of hydrogen peroxide to weigh out, in grams

How it works, step by step

  1. Enter the molarity you want, in mol/L.
  2. Enter the volume you want to make, in millilitres.
  3. The two are multiplied together and by 34.014 g/mol.
  4. The result is the mass to weigh; dissolve it in part of the volume and then make up to the mark.

Worked examples

250 mL of 0.1 M hydrogen peroxide

Weigh 0.85035 g. That is 0.1 M × 0.25 L × 34.014 g/mol, and it comes to 850.35 mg if your balance is set to milligrams. Dissolve in about 175 mL first, then make up to 250 mL.

500 mL of 0.5 M hydrogen peroxide

Weigh 8.5035 g. That is 0.5 M × 0.5 L × 34.014 g/mol, and it comes to 8503.5 mg if your balance is set to milligrams. Dissolve in about 350 mL first, then make up to 500 mL.

1000 mL of 1 M hydrogen peroxide

Weigh 34.014 g. That is 1 M × 1 L × 34.014 g/mol, and it comes to 34,014 mg if your balance is set to milligrams. Dissolve in about 700 mL first, then make up to 1000 mL.

How to read your score

0–0NothingNothing to weigh.
0–0.05Below a sensible weighingUnder 50 mg. Weigh ten or a hundred times this and dilute; the balance error does not shrink with the sample.
0.05–10Weighable directlyFrom 50 mg to 10 g, which is where a two- or three-decimal balance gives better than 1% on the mass.
10–—Large batchMore than 10 g of hydrogen peroxide. Worth checking solubility and, for a solid that generates heat on dissolving, adding it in portions.

Frequently asked questions

What is the molar mass of hydrogen peroxide (H2O2)?

It is 34.014 g/mol. That is the sum of the standard atomic weights of every atom in the formula: 2 × 1.008 (H) + 2 × 15.999 (O). One mole of hydrogen peroxide therefore weighs 34.014 g, and a gram of it is 29.4 mmol.

What percentage of hydrogen peroxide is oxygen?

94.07% by mass. Each formula unit contains 2 oxygen atoms contributing 31.998 g of the 34.014 g total, so 100 g of hydrogen peroxide contains 94.07 g of oxygen and a kilogram contains 940.73 g of it.

How much hydrogen peroxide do I need for 1 litre of 1 M solution?

34.014 g — the molar mass in grams, which is what a 1 molar solution means. For 1 L of 0.1 M it is 3.4014 g, and for 1 L of 0.01 M it is 0.34014 g.

How much for 100 mL of 0.1 M?

0.34014 g. The volume is a tenth of a litre and the strength a tenth of molar, so the mass is a hundredth of 34.014 g. In milligrams that is 340.14 mg.

Do I dissolve the solid first or make up the volume first?

Dissolve first, in perhaps 70% of the final volume, then make up to the mark. Adding solid to a full flask overshoots the volume and leaves the solution weak, and undissolved solid at the mark means the strength keeps changing as it goes in.

Can I dilute a stock solution instead of weighing?

Yes, and it is more accurate for small amounts. C₁V₁ = C₂V₂: to get 500 mL of 0.01 M from a 0.5 M stock, take 10 mL of stock and make up to 500 mL. Weighing the 170.07 mg that 500 mL of 0.01 M needs directly is the harder of the two.

Solution recipes for hydrogen peroxide

How the molar mass of hydrogen peroxide is arrived at
ElementAtomsAtomic weightContribution (g/mol)By mass
Oxygen (O)215.99931.99894.07%
Hydrogen (H)21.0082.0165.927%
Total — one mole of hydrogen peroxide34.014100%

Standard atomic weights, IUPAC 2021. The contribution column is atoms × atomic weight, and the total is the molar mass this page uses: 34.014 g/mol.

Grams of hydrogen peroxide needed for a standard solution
Targetfor 100 mLfor 250 mLfor 500 mLfor 1 L
0.001 M3.4014 mg8.5035 mg17.007 mg34.014 mg
0.005 M17.007 mg42.5175 mg85.035 mg170.07 mg
0.01 M34.014 mg85.035 mg170.07 mg340.14 mg
0.05 M170.07 mg425.175 mg850.35 mg1.7007 g
0.1 M340.14 mg850.35 mg1.7007 g3.4014 g
0.15 M510.21 mg1.27553 g2.55105 g5.1021 g
0.2 M680.28 mg1.7007 g3.4014 g6.8028 g
0.25 M850.35 mg2.12588 g4.25175 g8.5035 g
0.5 M1.7007 g4.25175 g8.5035 g17.007 g
1 M3.4014 g8.5035 g17.007 g34.014 g
2 M6.8028 g17.007 g34.014 g68.028 g

Each cell is molarity × volume in litres × 34.014 g/mol. Dissolve the solid first and then make up to the marked volume — adding solid to a full volume overshoots it.

Hydrogen peroxide among other gases and small molecules, by molar mass
CompoundFormulaMolar mass (g/mol)Millimoles in 1 g
Carbon monoxideCO28.0135.702
NitrogenN228.01435.696
OxygenO231.99831.252
Hydrogen peroxide (this page)H2O234.01429.4
Carbon dioxideCO244.00922.723
PropaneC3H844.09722.677
ButaneC4H1058.12417.205

Ordered by molar mass. The last column is 1000/M, which is the number a weighed gram actually gives you.

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