Question

If the concentration of the stock solution is 25 m, what would be the dilution factor and concentration of sample ‘c’ with respect to original stock solution?

Answer 1

I won't be able to give an exact number because we are not given with the volume of the diluent and the aliquot. In order to explain this, I can give examples.

Dilution factor is the ratio of the initial volume and the final volume. For example, if you add 0.1 mL aliquot of the stock solution to 50 mL of the diluent like water, the dilution factor is:

Dilution Factor = Vi/Vf = 0.1/(0.1+50) = 1/501

Consequently, the concentration of the sample is equal to the product of the concentration of the stock solution and the dilution factor:

Concentration of sample = 25 M * 1/501 = 0.05 M

Answer 2

The dilution factor = 5 and concentration of sample ‘c’ = 5M

Further explanation

Dilution is the process of adding solvents (generally water) which aims to obtain a solution with a concentration that is smaller than the initial concentration of a more concentrated substance.

So the principle of dilution is to get lower concentration.

In dilution the number of dissolved moles before and after dilution is the same

The dilution formula is as follows:

$\large {\boxed {M_1 \: \times \: V_1 ~ = ~ M_2 \: \times \: V_2}}$

M1 = Molarity of the solution before dilution

V1 = volume of the solution before dilution

M2 = Molarity of the solution after dilution

V2 = Molarity volume of the solution after dilution

Dilution factors are factors that must be included / multiplied in the calculation formula, usually to find the percentage of substances

So the dilution factor is the division of the final volume by the initial volume.

Formula used:

$\large{\boxed{\bold{DF=\frac{Vf}{Vi}}}}$

Vf = final volume

Vi = initial volume

The dilution factor is used as the denominator of a fraction.

For example, a DF of 10 means a 1:10 dilution.

This is different from the term "diluted 10 x or 100 x" then what is multiplied is the initial volume before dilution, so if it is diluted 10 x it means the concentration after dilution = initial concentration divided by 10

If the concentration of the stock solution is 25 m, the dilution factor:

20 ml of sample

100 ml final volume

So DF = 100/20 = 5

Then

concentration of solution C = 1/5 x 25 = 5 M

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Keywords: stock solution, Dilution factors, dilution, concentration