Calculate PPM from gallons and solute mass, or solve for the required mass or solution volume, with US, imperial, metric, and density-based options.
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PPM from Gallons Formula
The following two example problems outline the steps and information needed to calculate the PPM from Gallons.
Variables:
- PPM is the PPM from Gallons (parts per million)
- W is active solute mass in pounds (lb)
- G is final solution volume in US liquid gallons
For a dilute water-like solution, estimate ppm by dividing active solute mass in pounds by final solution volume in US gallons, then multiplying by approximately 119826.427. For ppm by mass, also divide by final solution density in kg/L. Gallons alone do not determine concentration.
| Gallons (US) | PPM per 1 lb | PPM per 1 kg |
|---|---|---|
| 5 | 23,965.3 | 52,834.4 |
| 10 | 11,982.6 | 26,417.2 |
| 25 | 4,793.1 | 10,566.9 |
| 30 | 3,994.2 | 8,805.7 |
| 40 | 2,995.7 | 6,604.3 |
| 50 | 2,396.5 | 5,283.4 |
| 55 | 2,178.7 | 4,803.1 |
| 75 | 1,597.7 | 3,522.3 |
| 100 | 1,198.3 | 2,641.7 |
| 150 | 798.8 | 1,761.1 |
| 200 | 599.1 | 1,320.9 |
| 250 | 479.3 | 1,056.7 |
| 275 | 435.6 | 960.6 |
| 300 | 399.4 | 880.6 |
| 500 | 239.7 | 528.3 |
| 750 | 159.8 | 352.2 |
| 1,000 | 119.8 | 264.2 |
| 2,000 | 59.9 | 132.1 |
| 5,000 | 24.0 | 52.8 |
| 10,000 | 12.0 | 26.4 |
| * Rounded to 1 decimal. Uses 1 lb = 453,592 mg and 1 gal = 3.78541 L. Dilute aqueous approximation: ppm โ mg/L. Formulas: ppm per lb = 453,592 รท (gal ร 3.78541); ppm per kg = 1,000,000 รท (gal ร 3.78541). | ||
How to Calculate PPM from Gallons?
The following steps outline how to calculate the PPM from Gallons.
- First, determine the active solute mass in pounds (lb).
- Next, determine the final solution volume in US liquid gallons. Use the same gallon convention as the formula.
- Next, gather the formula from above = PPM = W/G * 119826.427.
- Finally, calculate the PPM from Gallons.
- 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.
total weight (lbs) = 5
total gallons (gal) = 50
PPM โ 5/50 ร 119826.427 โ 11,982.6427 for the dilute aqueous approximation. At this high loading, verify density and use ppm by mass when needed.
