You are given a stock solution of 500.0 mL of 1.00M magnesium chloride solution. Calculate the volume of the stock solution you would need to use to prepare 250.0 mL of 0.20 M solution.

of the stock solution would be required.

Explanation:

Assume that a solution of volume contains a solute with a concentration of . The quantity of that solute in this solution would be:

.

For the solution that needs to be prepared, . The volume of this solution is . Calculate the quantity of the solute (magnesium chloride) in the required solution:

.

Rearrange the equation to find an expression of volume , given the concentration and quantity of the solute:

.

Concentration of the solute in the stock solution: .

Quantity of the solute required: .

Calculate the volume of the stock solution that would contain the required of the magnesium chloride solute:

.

it is the most commonly accepted one

in the analysis of systems that involve fluid flow, we frequently encounter the combination of properties u and pv.