Multiple choice

65 L of a chemical P is mixed with 95 L of a chemical Q. If chemical P has sulphuric acid and hydrochloric acid in the ratio 3 : 2 and chemical Q has hydrochloric acid and sulphuric acid in the ratio 1 : 4, then the amount of hydrochloric acid in the new chemical mixture is

  1. 25 L

  2. 32 L

  3. 45 L

  4. 78 L

  5. 89 L
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C Correct answer
Explanation

Chemical P (65L): Acid P = 3/5 * 65 = 39L, Acid H = 2/5 * 65 = 26L. Chemical Q (95L): Acid H = 1/5 * 95 = 19L, Acid P = 4/5 * 95 = 76L. Total hydrochloric acid = 26 + 19 = 45L.

AI explanation

In chemical P, the ratio of sulphuric acid to hydrochloric acid is 3 to 2, so the amount of hydrochloric acid is 65 times 2 divided by 5, which equals 26 liters. In chemical Q, the ratio of hydrochloric acid to sulphuric acid is 1 to 4, so the amount of hydrochloric acid is 95 times 1 divided by 5, which equals 19 liters. Adding these two amounts together, 26 liters plus 19 liters, gives the total amount of hydrochloric acid in the new chemical mixture as 45 L.

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