At a water treatment plant, 16 million litres of water is treated daily using alum dosage of 30 mg per litre. The total quantity of alum used daily is:

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  1. 390 kg
  2. 460 kg
  3. 370 kg
  4. 480 kg

Answer (Detailed Solution Below)

Option 4 : 480 kg
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Concept:

The dosage of a chemical like alum in water treatment is calculated by multiplying the dosage per litre with the total volume of water treated, and then converting units appropriately.

\( \text{Total Alum Used (mg)} = \text{Volume of water (litres)} \times \text{Dosage (mg/litre)} \)

\( \text{Convert mg to kg: } \frac{\text{mg}}{1,000,000} \)

Given:

Volume of water = 16 million litres = \( 16,000,000 \, \text{litres} \)

Alum dosage = \( 30 \, \text{mg/litre} \)

Calculation:

Total alum used in mg:

\( 16,000,000 \times 30 = 480,000,000 \, \text{mg} \)

Convert mg to kg:

\( \frac{480,000,000}{1,000,000} = 480 \, \text{kg} \)

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