Enter the concentration (ppm, using the common dilute aqueous approximation ppm ≈ mg/L), volume, and molecular weight into the calculator to estimate the amount of substance in moles.
Ppm To Moles Formula
The following formula is used to estimate the conversion from ppm to moles for dilute aqueous solutions where 1 ppm ≈ 1 mg/L.
n = (C * V) / (MW * 1000)
Variables:
- n is the amount of substance in moles
- C is the concentration in parts per million (ppm), using the dilute aqueous approximation ppm ≈ mg/L
- V is the volume of the solution (L)
- MW is the molecular weight of the substance (g/mol)
To calculate the amount of substance in moles, multiply the concentration in ppm by the volume in liters to get the solute mass in milligrams (mg). Divide by 1000 to convert mg to grams, then divide by the molecular weight (g/mol) to get moles.
| Concentration (ppm) | Volume (L) | Molecular Weight (g/mol) | Moles (mol) |
|---|---|---|---|
| 0.1 | 1 | 58.44 | 0.000001711 |
| 0.5 | 1 | 58.44 | 0.000008556 |
| 1 | 1 | 58.44 | 0.000017112 |
| 2 | 1 | 58.44 | 0.000034223 |
| 5 | 1 | 58.44 | 0.000085558 |
| 10 | 1 | 58.44 | 0.000171116 |
| 25 | 1 | 58.44 | 0.000427789 |
| 50 | 1 | 58.44 | 0.000855578 |
| 75 | 1 | 58.44 | 0.00128337 |
| 100 | 1 | 58.44 | 0.00171116 |
| 150 | 1 | 58.44 | 0.00256674 |
| 200 | 1 | 58.44 | 0.00342231 |
| 250 | 1 | 58.44 | 0.00427789 |
| 300 | 1 | 58.44 | 0.00513347 |
| 400 | 1 | 58.44 | 0.00684463 |
| 500 | 1 | 58.44 | 0.00855578 |
| 750 | 1 | 58.44 | 0.0128337 |
| 1000 | 1 | 58.44 | 0.0171116 |
| 2000 | 1 | 58.44 | 0.0342231 |
| 5000 | 1 | 58.44 | 0.0855578 |
| Assumptions: dilute aqueous solution where 1 ppm ≈ 1 mg/L. Formula used: moles = (ppm × Volume[L]) / (Molecular Weight[g/mol] × 1000). Here, Volume = 1.00 L and Molecular Weight = 58.44 g/mol (NaCl). | |||
What is Ppm To Moles?
Ppm to moles is a conversion used in chemistry to estimate how many moles of a solute are present in a known amount of a mixture. Because ppm is a ratio (often a mass fraction), converting ppm to moles generally requires either the mass of the sample (w/w basis) or, for solutions, the volume and density. A common shortcut for dilute aqueous solutions is to treat 1 ppm ≈ 1 mg/L, then use the molecular weight to convert mass to moles.
How to Calculate Ppm To Moles?
The following steps outline how to calculate the Ppm To Moles.
- First, determine the concentration in parts per million (ppm). For dilute aqueous solutions, you can use the approximation 1 ppm ≈ 1 mg/L.
- Next, determine the volume of the solution (L).
- Next, determine the molecular weight of the substance (g/mol).
- Next, gather the formula from above: n = (C × V) / (MW × 1000).
- Finally, calculate the amount of substance in moles.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
concentration in parts per million (ppm) = 150
volume of the solution (L) = 0.5
molecular weight of the substance (g/mol) = 32. Using the dilute aqueous approximation, n = (150 × 0.5) / (32 × 1000) = 0.00234375 mol.
