Convert ppm to volume: find component or total volume from ppm by volume, or solution volume and solute mass from mass ppm, with mg/L shown.
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PPM Calculation Formula
The following equation is used to calculate the concentration in parts per million (PPM).
- Where PPM is mass-based concentration in mg/kg of total solution
- M is the mass of the solute (mg)
- V is the final volume of the solution (L), and ฯ is its density (kg/L)
Divide solute mass in mg by solution volume in liters times solution density in kg/L. At density 1 kg/L, the numerical result equals mg/L. For volume-based ppm, use 1,000,000 times component volume divided by total mixture volume in matching units.
| Concentration (PPM) | Volume (L) |
|---|---|
| 0.5 | 200.000 |
| 1 | 100.000 |
| 2 | 50.000 |
| 5 | 20.000 |
| 10 | 10.000 |
| 20 | 5.000 |
| 25 | 4.000 |
| 50 | 2.000 |
| 75 | 1.333 |
| 100 | 1.000 |
| 150 | 0.667 |
| 200 | 0.500 |
| 250 | 0.400 |
| 300 | 0.333 |
| 400 | 0.250 |
| 500 | 0.200 |
| 750 | 0.133 |
| 1,000 | 0.100 |
| 1,500 | 0.067 |
| 2,000 | 0.050 |
| Assumes 100 mg solute and solution density 1 kg/L. Volume (L) = mass (mg) / [mass ppm (mg/kg) ร density (kg/L)]. Values are rounded. | |
What is PPM?
Definition:
Parts per million (PPM) is a unit of measurement that describes the concentration of a substance in a solution, indicating the number of parts of solute per one million parts of the solution.
How to Calculate PPM?
Example Problem:
The following example outlines the steps and information needed to calculate the concentration in parts per million.
First, determine the mass of the solute. In this example, the mass is 500 mg.
Next, determine the final solution volume and density. Here, the volume is 2 L and density is assumed to be 1 kg/L.
Finally, calculate the concentration using the formula above:
Mass PPM = M / (V ร ฯ)
Mass PPM = 500 / (2 ร 1)
PPM = 250
FAQ
What does PPM stand for?
PPM stands for parts per million, a unit of measurement that indicates the concentration of a substance in a solution.
How is the concentration in PPM calculated?
For mass-based ppm, divide solute mass (mg) by total solution volume (L) times solution density (kg/L). For volume-based ppm, divide component volume by total volume in matching units and multiply by 1,000,000.
Which inputs are required?
Choose the value to solve for and complete the visible required fields. Mass-based modes include a visible density assumption; zero concentration does not determine a unique total volume when the component amount is also zero.
