10. Calculate the concentration of a solution made by diluting 10.00 mL of 0.1104 M HCl to 25.00 mL, then taking 10.00 mL of that solution and diluting to 50.00 mL.
you diluted it 2.5 times, then diluted it five more times, or 12.5 times.
New concentration: .1104/12.5
To calculate the concentration of the final solution, we need to use the formula:
C1V1 = C2V2
Where:
C1 = initial concentration
V1 = initial volume
C2 = final concentration
V2 = final volume
First, let's calculate the concentration of the first dilution:
C1 = 0.1104 M
V1 = 10.00 mL
V2 = 25.00 mL
Using the formula, we have:
C1V1 = C2V2
(0.1104 M)(10.00 mL) = C2(25.00 mL)
1.104 = C2(25.00 mL)
C2 = 1.104 / 25.00 mL
C2 ≈ 0.0442 M
Now, let's calculate the concentration of the second dilution:
C1 = 0.0442 M
V1 = 10.00 mL
V2 = 50.00 mL
Using the formula again, we have:
C1V1 = C2V2
(0.0442 M)(10.00 mL) = C2(50.00 mL)
0.442 = C2(50.00 mL)
C2 = 0.442 / 50.00 mL
C2 ≈ 0.00884 M
Therefore, the concentration of the final solution is approximately 0.00884 M.