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Operator calculator

Percent Strength of a Solution calculator

Find pounds of chemical in a tank of solution from its volume and percent strength.

Calculator

Chemical

521.25 lb

  1. 1. 12.5% ÷ 100 = 0.125
  2. 2. 500 gal × 8.34 × 0.125 = 521.25 lb

For instructional use. Results assume the standard conversion factors shown on this page. Actual field calculations may need chemical strength, density, temperature, and other adjustments, so check your plant’s procedures.

Formula and inputs

lb chemical = volume (gal) × 8.34 lb/gal × (percent strength ÷ 100)

InputUnit
Solution volumegal
Percent strength%
Result: Chemicallb

Conversion factors used: 8.34 lb per gallon of water; 1% = 10,000 mg/L.

When to use it

A one percent solution holds 10,000 mg/L of chemical. Percent strength questions ask how many pounds of actual chemical you have in a given volume.

Convert the percent to a decimal, then multiply by the weight of the water, using 8.34 lb/gal.

Applies to: Water Treatment, Water Distribution, Wastewater Treatment.

Exam tip: Percent to decimal means divide by 100. 12.5% is 0.125.

Study guides

Build the math skill behind the calculator

Water Operator Math Made Simple walks through the formulas step by step.

Water Operator Math Made Simple ebook cover

Water Operator Math Made Simple

A Step-by-Step Guide to the Math Every Water Operator Needs to Know