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Chemical DosageAdvanced 26 min read

Chemical Dosage: Advanced Applications I — Cost Analysis & Jar-Test Scaling

Top-tier dosage math: multi-step problems combining chemical usage with cost over time, and the jar-test-to-full-scale scaling formula that turns a bench-scale coagulant test into a plant-wide feed rate.

Advanced-class exams rarely stop at "find the pounds per day." They chain the pounds formula into a second calculation — budget impact, or a bench-scale test that has to be scaled up to full plant operation — and expect an operator to carry a result cleanly through both steps. This guide covers two of the most common: dosage-to-cost problems, and jar-test-to-full-scale dose scaling.
Multi-Step Problems: Usage and Cost
Budgeting for chemical purchases is a routine top-level operator and supervisor responsibility, and it starts with the same pounds formula you've been using all along — it just doesn't stop there. Once you know pounds per day, extending to a cost projection is two more short steps: multiply by the number of days, then by the unit cost.
total lbs=lbs/day×number of days\text{total lbs} = lbs/day \times \text{number of days} total cost=total lbs×cost per lb\text{total cost} = \text{total lbs} \times \text{cost per lb}
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