calculate the volume of the 3.0 M stock solution needed to make a diluted 30mM solution in 400ml
Rephrased, how many mols of solute are in 400mL of 30mM solution?
0.4L*0.03mol/L = 0.012mol
How many mL of 3.0M stock do you need to get 0.012mol of solute?
0.012mol*1L/3mol = 0.004 L
4mL of 3M stock (and you would add 396mL of solvent to finish the 400mL)
To calculate the volume of the 3.0 M stock solution needed to make a diluted 30 mM solution in 400 ml, we need to use the formula:
C1V1 = C2V2
Where:
C1 = Concentration of the stock solution (in M)
V1 = Volume of the stock solution to be used (in ml)
C2 = Concentration of the diluted solution (in mM)
V2 = Volume of the diluted solution (in ml)
Using the formula, we can rearrange it to solve for V1:
V1 = (C2 * V2) / C1
Now, let's substitute the given values into the formula:
C1 = 3.0 M (stock solution concentration)
V2 = 400 ml (volume of the diluted solution)
C2 = 30 mM (diluted solution concentration)
V1 = (30 mM * 400 ml) / 3.0 M
First, let's convert the 30 mM concentration to M by dividing it by 1000:
C2 = 30 mM / 1000 = 0.030 M
Now let's calculate V1:
V1 = (0.030 M * 400 ml) / 3.0 M
V1 = 0.12 ml
Therefore, you would need 0.12 ml of the 3.0 M stock solution to make a 30 mM diluted solution in 400 ml.