Multiple choice

A beaker contains 2 litre of mixture of hydrochloric acid and water in the ratio 17 : 3. To make the mixture more concentrated, some more quantity of hydrochloric acid is added to the beaker. Now the mixture is in the ratio 7 : 1. How much hydrochloric acid was added?

  1. 0.1 litre

  2. 0.2 litre

  3. 0.4 litre

  4. 0.6 litre

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial mixture: 2 litres, ratio 17:3. Acid = 1.7L, Water = 0.3L. Let x be the acid added. (1.7 + x) / 0.3 = 7 / 1. 1.7 + x = 2.1. x = 0.4 litres.

AI explanation

In the initial 2-litre mixture, the components are in a 17 to 3 ratio, meaning there are 1.7 litres of hydrochloric acid and 0.3 litres of water. When more acid is added, the water quantity remains constant at 0.3 litres, but the new 7 to 1 ratio means the total volume is 8 times the amount of water. Multiplying 0.3 litres by 8 gives a new total volume of 2.4 litres, so the added acid is 2.4 minus 2.0, which equals 0.4 litre.

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