Worksheet Grade 9 Science

Chlorine Dosing at Thistle Hollow: A Grade 9 Unit-Conversion Worksheet

A grade 9 worksheet where students chain unit conversions and the pounds formula to calculate chlorine feed rates for a fictional town's water treatment plant.

Objectives

  1. Students will convert a plant's flow rate from gallons per day to million gallons per day.
  2. Students will apply the pounds formula to calculate a chlorine feed rate from a target dosage and flow.
  3. Students will calculate chlorine demand from dosage and residual readings.

Vocabulary

Chlorine residual
Chlorine residual is the small amount of chlorine still left in the water after it leaves the treatment plant. It keeps protecting the water from germs all the way to your faucet.
Flow rate
Flow rate measures how much water moves past a point in a certain amount of time, like gallons per minute through a garden hose. Bigger pipes and stronger pushes give bigger flow rates.

Also: chlorine dosage, chlorine demand, pounds formula

Teacher overview

The town of Thistle Hollow runs a small surface-water treatment plant that adds chlorine to disinfect the water before it leaves for the distribution system. Operators do not add chlorine by guesswork; they calculate a precise feed rate in pounds per day using the plant's flow and a target dosage, then confirm the chemical is working by testing how much chlorine remains (the residual) after it has had time to react. This worksheet walks through that full sequence using numbers set for Thistle Hollow's plant.

A common misconception in this math is treating the plant's flow rate as if it were already in the units the pounds formula needs. The formula requires flow in million gallons per day (MGD), so a flow given in gallons per minute or gallons per day must be converted first, and skipping that conversion produces an answer that is off by several orders of magnitude. Watch for students who plug a raw gallons-per-minute number directly into the formula.

Answer Key

  1. Answer: 0.5 MGD.
    500,000 gallons ÷ 1,000,000 = 0.5 MGD.

  2. Answer: 10.425 lb.
    Pounds/day = 2.5 mg/L × 0.5 MGD × 8.34 = 10.425 pounds of chlorine per day.

  3. Answer: yes.
    The plant needs 10.425 pounds per day, which is below the pump's 15 pound-per-day maximum, so the pump can supply the dosage with room to spare (about 4.575 pounds per day of extra capacity).

  4. Answer: 1.9 mg/L.
    Demand = 2.5 mg/L − 0.6 mg/L = 1.9 mg/L.

  5. Answer: short explanation.
    Chlorine demand is the portion of the chlorine dose that gets used up reacting with organic matter, minerals, and microorganisms in the water, leaving the residual as the amount left over to keep disinfecting water in the distribution system.

  6. Answer: 16.68 lb; no.
    800,000 gpd = 0.8 MGD. Pounds/day = 2.5 mg/L × 0.8 MGD × 8.34 = 16.68 pounds per day, which is above the pump's 15 pound-per-day maximum, so the existing pump could not keep up during that demand spike without a change in dosage or a pump upgrade.

  7. Answer: 0.6 mg/L.
    Because the test kit can only reliably measure to the nearest tenth of a milligram per liter, reporting "0.6000 mg/L" implies a precision the kit cannot actually deliver; the honest reading is 0.6 mg/L, with the extra zeros dropped.

  8. Answer: 2.7 mg/L and 1.4 mg/L.
    Dosage = demand + residual. On the high-demand day: 2.2 + 0.5 = 2.7 mg/L. On the low-demand day: 0.9 + 0.5 = 1.4 mg/L. The same target residual requires a higher dosage whenever demand is higher, which is why operators adjust the feed rate rather than leaving it fixed.

Differentiation

Support (below grade level)

Provide a conversion reference card listing "gallons ÷ 1,000,000 = MGD" and the pounds formula already written with labeled blanks for dosage, flow, and 8.34. Reduce item 8 to a single required calculation (the high-demand dosage only) rather than both dosages.

Extension (above grade level)

Ask students to calculate the exact flow rate, in gallons per day, at which Thistle Hollow's existing 15 pound-per-day pump reaches its maximum capacity while holding the 2.5 mg/L dosage constant, working backward through the pounds formula.

ELL supports

Pre-teach "dosage," "residual," and "demand" with a simple diagram: chlorine goes in (dosage), some reacts and disappears (demand), and some remains (residual), shown as a bar that splits into two parts. Allow item 5 to be answered with a labeled diagram plus one sentence instead of a full paragraph.