A chemist must dilute of M aqueous magnesium fluoride solution until the concentration falls to M . He'll do this by adding distilled water to the solution until it reaches a certain final volume.

Calculate this final volume, in liters

Jay, did you read your post after posting? You didn't include any numbers.

You can solve this problem by using the dilution formula of
c1v1 = c2v2
c = concn
v = volume

i figured out the problem after i read it again

To solve this question, we can use the dilution formula:

C1V1 = C2V2

Where:
C1 = initial concentration of the magnesium fluoride solution (0.4 M)
V1 = initial volume of the magnesium fluoride solution (unknown)
C2 = final concentration of the diluted solution (0.2 M)
V2 = final volume of the diluted solution (unknown)

Let's plug in the values we have:

(0.4 M)(V1) = (0.2 M)(V2)

Next, we can rearrange the equation to solve for V2:

V2 = (0.4 M)(V1) / (0.2 M)

Now, we can simplify the equation:

V2 = 2(V1)

This means that the final volume (V2) will be twice the initial volume (V1). Therefore, the final volume will be twice the volume of the original solution.

To calculate the final volume in liters, we need to use the equation that relates concentration, volume, and amount of solution:

C1V1 = C2V2

where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.

Given:
C1 = 0.5 M
C2 = 0.2 M

First, let's determine the initial volume (V1) and then rearrange the equation to solve for V2.

Let's assume V1 is the initial volume of the solution. Since we are diluting the solution with distilled water, the amount of magnesium fluoride (MgF2) remains the same before and after dilution. Therefore:

C1V1 = C2V2

Substituting the given values:

0.5 M × V1 = 0.2 M × V2

Next, we can rearrange the equation to solve for V2:

V2 = (C1V1) / C2

Plugging in the values:

V2 = (0.5 M × V1) / 0.2 M

Now, divide both sides by 0.2 M:

V2 = (0.5 V1) / 0.2

Simplifying the equation:

V2 = 2.5 V1

From the above equation, we can see that V2 is 2.5 times V1.

Therefore, the final volume (V2) is 2.5 times the initial volume (V1) of the solution.