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Let's solve this problem without using specific numbers as that's more instructive (and won't give away an answer to someone's homework problem).

The question is:
What volume Vacid of strong diprotic acid solution of molarity Macid is needed to neutralize a volume Vbase strong base solution of molarity Mbase?


So, Macid, Vbase, and Mbase are known and we are asked to find Vacid.


A strong base of the form BOH will completely dissociate in solution into B+ and OH- ions, so Mbase is the same as MOH- in this problem.


A strong diprotic acid of the form AH2 will lose both of its protons in the presence of OH- ions to form A2+ and two H+ ions, so Macid is half of MH+ in this problem.


Neutralization is the process of mixing an acidic solution with a basic solution in proportion such that the number of OH- ions in the basic solution is equal to the number of H+ ions in the acidic solution. To get the number, you must multiply the ions' molarity times there volumes.


So, we need:
MH+·Vacid = MOH-·Vbase


or


Macid·Vacid = Mbase·Vbase (since Macid is half of MH+ and Mbase equals MOH-)


solve for Vacid to obtain

Vacid = (Mbase·Vbase)/(2·Macid)
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16y ago

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