What is the final volume in milliliters when 0.700L of a 46.9% (m/v) solution is diluted to 20.1% (m/v)?
You can use the dilution formula for these.
c1v1 = c2v2
c = concn
v = volume
To calculate the final volume when a solution is diluted, we can use the formula:
(C1)(V1) = (C2)(V2)
Where:
C1 = initial concentration of the solution
V1 = initial volume of the solution
C2 = final concentration of the solution
V2 = final volume of the solution
In this case, we have:
C1 = 46.9% (m/v)
V1 = 0.700 L
C2 = 20.1% (m/v)
V2 = final volume (in milliliters)
First, let's convert the concentrations from percentages to decimal form:
C1 = 46.9% = 0.469
C2 = 20.1% = 0.201
Now we can plug these values into the formula:
(0.469)(0.700) = (0.201)(V2)
Simplifying the equation gives us:
0.3283 = 0.201V2
To solve for V2, we need to isolate it. We can do this by dividing both sides of the equation by 0.201:
V2 = 0.3283 / 0.201
Using a calculator, we find:
V2 ≈ 1.63
Therefore, the final volume, V2, is approximately 1.63 milliliters.