Question

A `0.25*L` volume of `0.010*mol*L^-1` concentration was obtained by diluting a WHAT volume of a mother solution of `0.50*mol*L^-1` concentrations?

Answer 1

We need a volume of.........`5.0*mL`

Explanation:

The product `"concentration"xx"volume"` has units of `"moles per litre"xx"litre"`, i.e. clearly an answer in `"moles"`................

And thus, since we dilute a given molar quantity of solute...........

`C_1V_1=C_2V_2`

We solve for `V_1`, and thus we solve..........

`V_1=(C_2V_2)/C_1=(0.010*cancel(mol)*cancel(L^-1)xx0.25*cancelL)/(0.50*mol*L^-1)=0.0050*L-=0.005(1/(1/L))=5.0xx10^-3L=5.0*mL`.