To prepare a solution of potassium dichromate you need the grams, and grams is molarity × volume in litres × 294.1818 g/mol. A litre of 1 M takes 294.1818 g; 500 mL of 0.1 M takes 14.709 g; 250 mL of 0.01 M takes 735.45 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. Potassium dichromate is 2 × 39.0983 (K) + 2 × 51.9961 (Cr) + 7 × 15.999 (O), which is 294.1818 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: 7 of the 11 atoms in a formula unit are oxygen, and they account for 111.993 g of the 294.1818 g, or 38.07% 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.
A primary standard for oxidation titrations because it can be dried and weighed exactly. It is a confirmed carcinogen and is handled accordingly. At 294.1818 g/mol it is heavier than 32 of the 34 salts covered here, and that ranking matters more than it looks: zinc sulfate heptahydrate has a molar mass of 287.541 g/mol, so a gram of it contains 2.31% more formula units than a gram of potassium dichromate. Weigh by mass and you are not weighing equal amounts of substance.
Purity is the usual gap between the calculation and the balance. A reagent sold at 98% means 5.8836 g of a nominal 294.1818 g is something else, so for exact work you divide the weighed mass by the assay figure on the certificate. For most purposes the difference is smaller than the error in reading the meniscus, but it is systematic rather than random, so it does not average out.
The formula
c- The molarity you want, in mol/L
V- The volume you want to make, in millilitres
294.1818- The molar mass of potassium dichromate in g/mol, derived from its formula
m- The mass of potassium dichromate to weigh out, in grams
How it works, step by step
- Enter the molarity you want, in mol/L.
- Enter the volume you want to make, in millilitres.
- The two are multiplied together and by 294.1818 g/mol.
- 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 potassium dichromate
Weigh 7.35455 g. That is 0.1 M × 0.25 L × 294.1818 g/mol, and it comes to 7354.55 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 potassium dichromate
Weigh 73.5455 g. That is 0.5 M × 0.5 L × 294.1818 g/mol, and it comes to 73,545.4 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 potassium dichromate
Weigh 294.182 g. That is 1 M × 1 L × 294.1818 g/mol, and it comes to 294,182 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
Frequently asked questions
What is the molar mass of potassium dichromate (K2Cr2O7)?
It is 294.1818 g/mol. That is the sum of the standard atomic weights of every atom in the formula: 2 × 39.0983 (K) + 2 × 51.9961 (Cr) + 7 × 15.999 (O). One mole of potassium dichromate therefore weighs 294.1818 g, and a gram of it is 3.3993 mmol.
What percentage of potassium dichromate is oxygen?
38.07% by mass. Each formula unit contains 7 oxygen atoms contributing 111.993 g of the 294.1818 g total, so 100 g of potassium dichromate contains 38.07 g of oxygen and a kilogram contains 380.69 g of it.
How much potassium dichromate do I need for 1 litre of 1 M solution?
294.1818 g — the molar mass in grams, which is what a 1 molar solution means. For 1 L of 0.1 M it is 29.4182 g, and for 1 L of 0.01 M it is 2.94182 g.
How much for 100 mL of 0.1 M?
2.94182 g. The volume is a tenth of a litre and the strength a tenth of molar, so the mass is a hundredth of 294.1818 g. In milligrams that is 2941.82 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 1470.9 mg that 500 mL of 0.01 M needs directly is the harder of the two.
Solution recipes for potassium dichromate
| Element | Atoms | Atomic weight | Contribution (g/mol) | By mass |
|---|---|---|---|---|
| Oxygen (O) | 7 | 15.999 | 111.993 | 38.07% |
| Chromium (Cr) | 2 | 51.9961 | 103.9922 | 35.35% |
| Potassium (K) | 2 | 39.0983 | 78.1966 | 26.58% |
| Total — one mole of potassium dichromate | 294.1818 | 100% |
Standard atomic weights, IUPAC 2021. The contribution column is atoms × atomic weight, and the total is the molar mass this page uses: 294.1818 g/mol.
| Target | for 100 mL | for 250 mL | for 500 mL | for 1 L |
|---|---|---|---|---|
| 0.001 M | 29.4182 mg | 73.5455 mg | 147.091 mg | 294.182 mg |
| 0.005 M | 147.091 mg | 367.727 mg | 735.455 mg | 1.47091 g |
| 0.01 M | 294.182 mg | 735.455 mg | 1.47091 g | 2.94182 g |
| 0.05 M | 1.47091 g | 3.67727 g | 7.35455 g | 14.7091 g |
| 0.1 M | 2.94182 g | 7.35455 g | 14.7091 g | 29.4182 g |
| 0.15 M | 4.41273 g | 11.0318 g | 22.0636 g | 44.1273 g |
| 0.2 M | 5.88364 g | 14.7091 g | 29.4182 g | 58.8364 g |
| 0.25 M | 7.35454 g | 18.3864 g | 36.7727 g | 73.5455 g |
| 0.5 M | 14.7091 g | 36.7727 g | 73.5455 g | 147.091 g |
| 1 M | 29.4182 g | 73.5455 g | 147.091 g | 294.182 g |
| 2 M | 58.8364 g | 147.091 g | 294.182 g | 588.364 g |
Each cell is molarity × volume in litres × 294.1818 g/mol. Dissolve the solid first and then make up to the marked volume — adding solid to a full volume overshoots it.
| Compound | Formula | Molar mass (g/mol) | Millimoles in 1 g |
|---|---|---|---|
| Sodium thiosulfate pentahydrate | Na2S2O3·5H2O | 248.1715 | 4.0295 |
| Copper(II) sulfate pentahydrate | CuSO4·5H2O | 249.677 | 4.0052 |
| Sodium citrate | Na3C6H5O7 | 258.0683 | 3.8749 |
| Iron(II) sulfate heptahydrate | FeSO4·7H2O | 278.006 | 3.597 |
| Zinc sulfate heptahydrate | ZnSO4·7H2O | 287.541 | 3.4778 |
| Potassium dichromate (this page) | K2Cr2O7 | 294.1818 | 3.3993 |
| Aluminium sulfate | Al2(SO4)3 | 342.1311 | 2.9229 |
Ordered by molar mass. The last column is 1000/M, which is the number a weighed gram actually gives you.