Multiple choice

In a chemistry lab, a scientist is conducting an experiment using two solutions contained in the beaker: Solution A and Solution B. Solution A initially contains 750 ml of a chemical compound, while Solution B contains 250 ml of water. The scientist performs a series of transfers and mixing between the two solutions. First, 200 ml of Solution A is carefully poured into Solution B, and the contents are thoroughly mixed. This creates a mixture of the compound and water in Solution B. Next, the scientist takes 90 ml of the compound-water mixture from Solution B and transfers it back to Solution A. The solutions are mixed once again to ensure homogeneity. What is the ratio of the volume of water in Solution A to the volume of the chemical compound in Solution B?

  1. 1 : 1

  2. 1 : 16

  3. 5 : 16

  4. 16 : 5
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initially: A=750 compound, B=250 water. 200ml A to B: A has 550 compound, B has 200 compound + 250 water (total 450). Concentration in B = 200/450 compound, 250/450 water. 90ml from B to A: 90 * (200/450) = 40 compound, 90 * (250/450) = 50 water. A now has 550+40=590 compound, 50 water. B now has 450-90=360 total (160 compound, 200 water). Ratio of water in A (50) to compound in B (160) = 50:160 = 5:16.

AI explanation

Adding 200 ml of Solution A to the 250 ml of water in Solution B creates a 450 ml mixture in B containing 200 ml of the compound and 250 ml of water. When 90 ml is transferred back to A, it contains 40 ml of the compound and 50 ml of water, leaving 160 ml of the compound in Solution B. Solution A now receives 50 ml of water, making the ratio of the volume of water in Solution A to the volume of the compound in Solution B 50 to 160, which simplifies to 5 to 16.

Keep practicing — related questions