Parts Per Million (ppm) And Concentration
Drinking water is considered safe when fluoride concentration does not exceed 1.5 ppm by mass. What is the maximum amount of fluoride allowed in 2.0 kg of drinking water?
Select the correct option:
Solution
3.0 mg
Parts per million (ppm) by mass means the number of milligrams of solute per kilogram of solution (or equivalently, grams per million grams). So 1 ppm = 1 mg/kg for aqueous solutions where the solvent density approximates water. Given a limit of 1.5 ppm, the maximum fluoride allowed per kilogram of water is 1.5 mg/kg. For 2.0 kg of drinking water: maximum fluoride = 1.5 mg/kg × 2.0 kg = 3.0 mg. Option 1.5 mg corresponds to the fluoride in only 1.0 kg of water, not 2.0 kg. Option 0.75 mg results from a factor-of-two error in the opposite direction (perhaps dividing instead of multiplying). Option 30.0 mg would correspond to 15 ppm for 2 kg, ten times the safe limit. The concept of ppm as a concentration unit appears in NCERT Chapter 2 as part of the various ways to express concentration of solutions, and it is environmentally significant — ppm is widely used for trace contaminants, pollutants, and water quality. Plausibility check: 3.0 mg in 2.0 kg gives 3.0/2000 g/g × 10⁶ = 1.5 ppm, correctly matching the given limit.
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About This Question
- Subject
- chemistry
- Chapter
- solutions
- Topic
- parts per million (ppm) and concentration
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
3.0 mg
Parts per million (ppm) by mass means the number of milligrams of solute per kilogram of solution (or equivalently, grams per million grams). So 1 ppm = 1 mg/kg for aqueous solutions where the solvent density approximates water. Given a limit of 1.5 ppm, the maximum fluoride allowed per kilogram of water is 1.5 mg/kg. For 2.0 kg of drinking water: maximum fluoride = 1.5 mg/kg × 2.0 kg = 3.0 mg. Option 1.5 mg corresponds to the fluoride in only 1.0 kg of water, not 2.0 kg. Option 0.75 mg results from a factor-of-two error in the opposite direction (perhaps dividing instead of multiplying). Option 30.0 mg would correspond to 15 ppm for 2 kg, ten times the safe limit. The concept of ppm as a concentration unit appears in NCERT Chapter 2 as part of the various ways to express concentration of solutions, and it is environmentally significant — ppm is widely used for trace contaminants, pollutants, and water quality. Plausibility check: 3.0 mg in 2.0 kg gives 3.0/2000 g/g × 10⁶ = 1.5 ppm, correctly matching the given limit.
This easy difficulty chemistry question is from the chapter solutions, covering the topic of parts per million (ppm) and concentration. It appeared in the 2025 exam.
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