A chemist must dilute 55.6 ml of 1.48 M aqueous silver nitrate (AgNO3) solution until the concentration falls to 1.00M. He'll do this by adding distilled water to the solution until it reaches a certain final volume.
Calculate this final volume, in milliliters. Round your answer to 3 significant digits.
Use the dilution formula.
mL1 x M1 = mL2 x M2
82.3
To calculate the final volume, we need to use the dilution formula:
C1V1 = C2V2
Where:
C1 = initial concentration
V1 = initial volume
C2 = final concentration
V2 = final volume
Given:
C1 = 1.48 M
V1 = 55.6 ml
C2 = 1.00 M
Let's substitute the given values into the dilution formula to find the final volume:
(1.48 M) x (V1) = (1.00 M) x (V2)
Now, divide both sides of the equation by 1.00 M to solve for V2:
V2 = (1.48 M x V1) / 1.00 M
V2 = (1.48 x 55.6) ml
Calculating the expression:
V2 = 82.288 ml
Finally, rounding the answer to three significant digits, the final volume is 82.3 ml.