Question

If the initial concentration of a 400 ml solution is 7% and the solution is diluted down to a concentration of 4.5%, what will the new volume of the solution be?

Answer 1

We have that the dilution equation of concentrated solutions will be equal to:

`C_1V_1=C_2V_2`

where,

C1 is the initial concentration of the solution = 7%

V1 is the initial volume = 400mL

C2 is the final concentration = 4.5%

V2 is the final volume = ?

We clear Ve and replace the known data:

`\begin{gathered} V_2=(C_1V_1)/(C_2) \\ V_2=(7\%*400mL)/(4.5\%)=622mL \end{gathered}`

Answer: the new volume of the solution will be 622 mL