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?

1 Answer
Apr 11, 2017

Answer:

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#.