Okay, I posed this question to an old professor of mine who damn near genius and he thinks the questioni s ******ed... My e-mail first then his (names have been changed to protect the innocent)
Hey Dr. X,
I have a chemistry question for you that was posed to me by someone else. I cannot reason through it.
They gave me the question:
"What is the normality of a 1M solution of H3PO4 after titration with CaCl2?"
That is all the information given and he said the answer was 1.5 N. I have been trying to figure out why without any luck. I figure it must be a ppt titration b/c CaPO4 is insoluble. Since HCl is a strong acid, the number of equivalent H+ doesn't change but the volume does and I know that the normality has to decrease (from 3 N to ???) just because the volume increases. But I guess what is throwing me off is that if we assume the CaCl2 to be 1 M, you would need 3 parts CaCl2 to every 2 parts H3PO4 for complete ppt. The numbers are confusing me and it seems like the question does not have enough info.
The only way I can think to get the final normality equal to 1.5 would be to titrate one liter of 1 M H3PO4 with an equal volume of 1.5 M CaCl2. Final products would be solid CaPO4 and 1.5 M HCl and the normality with respect to H+ would be 1.5 N.
Please help!
Thanks,
lifeisgood
Lifeisgood,
I will assume that the question was supposed to be: "What is the
normality of a 1M solution of H3PO4 to be used for titration with
CaCl2?"
Normality is defined as the number of "equivalents" of solute per
liter of solution, and the number of "equivalents" will depend on the
reaction for which the solute is used. In neutralization reactions, an
equivalent of an acid is the amount in moles that supplies one mole of
H+; for redox reactions,it's the number of moles of solute that
transfers one mole of electrons; for precipitation and complex
formation reactions, it's the number of moles of solute that supplies
or reacts with (or is stoichiometrically equivalent to) one mole of
univalent cation in the precipitate or complex formed. In the case of
the reaction: 3CaCl2(aq) + 2H3PO4(aq) -> (Ca)3(PO4)2(s)+ 6HCl(aq), 2
moles of H3PO4 would react with 3 moles of divalent cation (equal to 6
moles of univalent cation), or 1 mole of H3PO4 would react with 3
moles of univalent cation. Therefore, the normality of a 1 M H3PO4
solution to be used for this reaction would be 3 N, not 1.5 N.
You're correct in thinking that the solution after titration could be
1.5 N (with respect to its subsequent use for neutralization) if it
were diluted 1:2 in the precipitation titration, but if this is what's
meant, the question is ambiguous, trickily-worded, and ia a rather
tortuous example of a normality problem.
Dr. X
And Armorshell, I will have to agree with you when you said the solution of CaCl2 would be 1.5 N wrt to Ca. That is the ONLY logical explanation.