calculate the volume of the 3.0 M stock solution needed to make a diluted 30mM solution in 400ml

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c1v1 c2v2
c = concn
v = volume
3.0M x v = 0.030M x 400
solve for v.

To calculate the volume of the 3.0 M stock solution needed to make a diluted 30 mM solution in 400 mL, we can use the dilution formula:

C1V1 = C2V2

Where:
C1 = initial concentration of the stock solution
V1 = volume of the stock solution
C2 = final concentration of the diluted solution
V2 = final volume of the diluted solution

Let's substitute the given values into the formula:

C1 = 3.0 M
V1 = ?
C2 = 30 mM (which is equivalent to 0.030 M)
V2 = 400 mL (which is equivalent to 0.400 L)

Now we can solve for V1:

C1V1 = C2V2
3.0 M * V1 = 0.030 M * 0.400 L
3.0 V1 = 0.012
V1 = 0.012 / 3.0
V1 = 0.004 L

Therefore, the volume of the 3.0 M stock solution needed to make a diluted 30 mM solution in 400 mL is 0.004 L or 4 mL.

To calculate the volume of the 3.0 M stock solution needed to make a diluted 30 mM solution in 400 ml, we can use the formula:

Volume(stock) × Concentration(stock) = Volume(diluted) × Concentration(diluted)

Let's denote the volume of the stock solution we need to calculate as x:
x × 3.0 M = 400 ml × 30 mM

First, let's convert 30 mM to M (molar) by dividing it by 1000:
30 mM ÷ 1000 = 0.03 M

Now we can substitute the values into the equation:
x × 3.0 M = 400 ml × 0.03 M

To solve for x, divide both sides of the equation by 3.0 M:
x = (400 ml × 0.03 M) ÷ 3.0 M

Now, perform the calculation:
x = (12 ml) ÷ 3.0

The volume of the 3.0 M stock solution needed to make a diluted 30 mM solution in 400 ml is:
x = 4 ml