Multiple choice

A person was diluting hydrochloric acid. He had two containers one of which was empty (C1) and the other had hydrochloric acid (C2). First he transferred some amount of hydrochloric acid to C1 and then filled the empty C2 with water and then repeated the process one more time and ensured that by the end of the process C2 was exactly full. Which of the following statements is true regarding the concentration of hydrochloric acid in C1? I. It cannot be more than 80%. II. It cannot be less than 75%. III. It is at most 33.33%.

  1. Only II

  2. Only I and II

  3. Only I and III

  4. All I, II and III

  5. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let V be the volume of C2. After the first transfer of x, C1 has x acid, C2 has V-x acid. After filling C2 with water, C2 has (V-x)/V concentration. After the second transfer of x, the math shows the concentration in C1 is bounded between 75% and 80% depending on the volume x.