A small tank containing 8,500 gal of water needs to be disinfected to be put back in service. If the dosage needed is 50 mg/L, how many pounds of sodium hypochlorite that has 12.5% available chlorine are required?

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Multiple Choice

A small tank containing 8,500 gal of water needs to be disinfected to be put back in service. If the dosage needed is 50 mg/L, how many pounds of sodium hypochlorite that has 12.5% available chlorine are required?

Explanation:
You determine the amount by converting the disinfection dose from mg per liter to total milligrams for the whole tank, then convert that to a mass of sodium hypochlorite using the available chlorine fraction. First, convert the tank volume to liters: 8,500 gallons × 3.78541 L/gal ≈ 32,176 L. The total chlorine required is 50 mg/L × 32,176 L ≈ 1,608,800 mg = 1,608.8 g ≈ 1.609 kg. Sodium hypochlorite here has 12.5% available chlorine, so the mass of hypochlorite needed is 1.609 kg ÷ 0.125 ≈ 12.87 kg. Convert to pounds: 12.87 kg × 2.20462 ≈ 28.4 lb, which rounds to about 28 pounds. So, about 28 pounds of sodium hypochlorite are needed.

You determine the amount by converting the disinfection dose from mg per liter to total milligrams for the whole tank, then convert that to a mass of sodium hypochlorite using the available chlorine fraction.

First, convert the tank volume to liters: 8,500 gallons × 3.78541 L/gal ≈ 32,176 L. The total chlorine required is 50 mg/L × 32,176 L ≈ 1,608,800 mg = 1,608.8 g ≈ 1.609 kg.

Sodium hypochlorite here has 12.5% available chlorine, so the mass of hypochlorite needed is 1.609 kg ÷ 0.125 ≈ 12.87 kg. Convert to pounds: 12.87 kg × 2.20462 ≈ 28.4 lb, which rounds to about 28 pounds.

So, about 28 pounds of sodium hypochlorite are needed.

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