Multiple choice

Half litre each of three samples of $H_{2}O_{2}$ labelled $10$ volume, $15$ volume and $20$ volume are mixed and then diluted with equal volume of water. The relative strength of resultant $H_{2}O_{2}$ solution is:

  1. $2.5$
  2. $5.0$
  3. $7.5$
  4. $10$
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C Correct answer
Explanation

The volume strength of H2O2 is proportional to its concentration. Mixing equal volumes of 10, 15, and 20 volume solutions results in an average concentration of (10+15+20)/3 = 15 volume. Diluting this with an equal volume of water halves the concentration, resulting in 15/2 = 7.5 volume.

AI explanation

The total volume strength of the mixed solution is the average of the individual strengths: (10 + 15 + 20) / 3 = 15 volume. Diluting this mixture with an equal volume of water cuts the strength in half, making it 15 / 2 = 7.5 volume. Because normality is directly proportional to volume strength, the final relative strength is 7.5.

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