Chemistry Experiment: Calculating Solution Concentration

a) How many ml of the solution with a concentration of 10% were mixed? b) How many ml of the solution with a concentration of 5% were mixed? c) If a final solution with a concentration of 12% is desired, how many ml of the solution with a concentration of 10% are needed?

The amount of 50 ml of a 10% concentration solution is mixed with 100 ml of a 5% concentration solution and if the final solution is known to have a concentration of 8% with a concentration of 10% was mixed in 50 ml. The amount of the solution with a concentration of 5% was mixed in 100 ml. If it is desired to obtain a final solution with a concentration of 12%, the amount of the solution with a concentration of 10% needed is 166.67 ml.

Calculating Solution Concentration

To calculate the amount of the solution with a concentration of 10%, we can use the following equation:
C₁V₁ + C₂V₂ = C₃V₃
Where:
  • C₁ is the concentration of solution 1
  • V₁ is the volume of solution 1
  • C₂ is the concentration of solution 2
  • V₂ is the volume of solution 2
  • C₃ is the concentration of the final solution
  • V₃ is the volume of the final solution
Substituting the known values:
C₁ = 10%, V₁ = 50 ml, C₂ = 5%, V₂ = 100 ml, and C₃ = 8%. So:
10% x 50 ml + 5% x 100 ml = 8% x V₃
Solving the equation:
500 ml = 8% x V₃
V₃ = 625 ml
Therefore, 50 ml of the solution with a concentration of 10% was mixed.

To calculate the amount of the solution with a concentration of 5% mixed, we can use the same equation above and substitute the known values:
10% x 50 ml + 5% x 100 ml = 8% x V₃
Solving the equation:
500 ml = 8% x V₃
V₃ = 625 ml
Therefore, 100 ml of the solution with a concentration of 5% was mixed.

To calculate the amount of the solution with a concentration of 10% needed if it is desired to obtain a final solution with a concentration of 12%, we can use the same equation and substitute the known values:
C₁V₁ + C₂V₂ = C₃V₃
Where: C₁ = 10%, V₁ is the volume of solution 1, C₂ is the concentration of solution 2, V₂ is the volume of solution 2, C₃ = 12%, and V₃ is the volume of the final solution. So:
10% x V₁ + 5% x 100 ml = 12% x (V₁ + 100 ml)
Solving the equation:
0.1V₁ + 5 = 0.12V₁ + 12
V₁ = 166.67 ml
Therefore, 166.67 ml of the 10% concentration solution is needed to obtain a final 12% concentration solution.
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