The dilution factor (DF) is the ratio of the *final volume* to the desired volume of the *final solution*.

Therefore for preparing 1 N NaOH solution from a 1N NaOH solution,

$$Dilution Factor=\frac{Final Volume (V_f)}{Volume_{desired}\space(V_i)}$$

$$Dilution Factor=\frac{(1000\space ml}{(1000-V_i)}$$

Step 2: Calculate the volume of concentrated stock solution required.

Next step is to calculate the volume of concentrated stock solution (Volume_i) required to prepare the desired volume of the final solution.

$$Volume_{stock}\space required \space(V_i)=(Dilution \space factor-1)\times V_f$$

$$Volume_{stock}\space required\space (V_i)=(10-\space1)\times V_f$$

$$Volume_{stock}\space required\space(V_i)=V_f \space ml$$

*To prepare 1000 ml (1 l) of 0.1 N solution from 1 N NaOH, take approximately 100 ml of a concentrated NaOH stock (in a 1000 ml measuring flask) and make up the final volume with deionized water.