In labs, dilute solutions are made by diluting a certain volume of concentrated solution. Distilled
water is added to dilute the solution. In this case, we need to calculate volume of concentrated solution and
volume of distilled water. In this online calculator, you can simply do the calculations and get answers in few seconds.

Example: Preparing a 0.1 mol dm^{-3} HCl 500 cm^{3} solution from 1 mol dm^{-3}
concentrated HCl solution.

Online calculator for calculate required volume of distilled water and required volume of concentrated solution

You can calculate followings from this calculator.

Required volume from the concentrated solution to prepare a dilute solution

Required Volume of Distilled Water to prepare the final solution

Answer

Example problem for calculating concentrated solution and volume of distilled water

You may need to prepare a 0.1 mol dm^{-3} HCl 500 cm^{3} solution from 1 mol dm^{-3} concentrated
HCl solution. Calculate required volume from 1 mol dm^{-3} concentrated HCl solution and required volume of
distilled water.

Calculation of required volume of concentrated HCl solution

HCl amount in final solution is given by concentrated HCl solution. Therefore,

HCl amount given by concentrated HCl solution = HCl amount in final solution

C_{1}V_{1} = C_{2}V_{2}

C_{1} = concentration of concentrated HCl solution

V_{1} = volume of concentrated HCl solution

C_{2} = concentration of final solution

V_{2} = volume of final solution

1 * V_{1} = 0.1 * 500

V_{1} = 50 cm^{3}

Because, C_{1}, C_{2} and V_{2} are given as data, we can calculate unknown data of V_{1}.
So, now we know the required volume of concentrated HCl solution.

Calculation of volume of distilled water

Final volume is the summation of volume of concentrated HCl solution and volume of distilled water. Therfore, volume of
distilled water is calculated from following equation.

volume of distilled water = volume of final solution - volume of concentrated HCl solution