Drinking water plant adds 500g of fluoride to water tank containing 500,000litred of water. What is te concentration of fluoride in ppm
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Parts per million (ppm) is defined as one-millionth of a gram per gram of the solution for e.g., mg/kg or mg/l.
Mass of fluoride, m = 500 g = 500 * 1000 mg = 500000 mg [∵ 1 g = 1000 mg]
Volume of water, V = 500000 L
We know,
Mass of water = (density of water) * (volume of water)
Since density of water, d = 1 kg/L
∴ Mass of water = 1 kg/L * 500000 L = 500000 kg
Ppm = (weight of solute in mg) / (weight of solution in kg or L)
[here the weight of the solution is equal to the weight of the solvent because the solute is present in very less quantity]
Hence,
The parts per million concentration of fluoride is
= 500000 mg / 500000 kg
= 1 mg/kg or 1 ppm
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