A solution of hydrochloric acid is prepared from a mass of #0.451*g# that is dissolved in #1.000*L# of water. For a #50.0*mL# aliquot of this solution, how much #0.0273*mol*L^-1# #HCl# titrant would be required for equivalence?

1 Answer
Oct 24, 2017

WE need approx. #23*mL# #NaOH(aq)# of the given concentration....

Explanation:

We always write a stoichiometric equation to inform our 'rithmetic...

#NaOH(aq) + HCl(aq) rarr NaCl(aq) + H_2O(l)#

There is thus 1:1 molar equivalence....

Now #[HCl]=((0.451*g)/(36.46*g*mol^-1))/(1.000*L)=0.0124*mol*L^-1#.

And we gots a #50*mL# volume of this stuff, i.e. a molar quantity of #50xx10^-3*Lxx0.0124*mol*L^-1=6.18xx10^-4*mol#

And since we titrate with #0.0273*mol*L^-1#, we take the quotient....

#(6.18xx10^-4*mol)/(0.0273*mol*L^-1)xx10^3*mL*L^-1=??mL#

Note that this is a good question with a sound practical basis, in that typically we would want to use a #20-30*mL# volume of titrant from a burette....