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Chem tutoring Question

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eratosthenes

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Nov 23, 2009, 6:23:06 AM11/23/09
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Hi. I am currently tutoring intro chem at a local college. A student
came to me with a particular questions and I was hoping that someone
here could tell me if I am going about this the right way.

the question: given M_1 at V_1 and M_2 at V_2, where M is molarity
and V is volume and M_1 > M_2.

M_1 is diluted by M_2 to M_f such that, M_1 > M_f > M_2 and M_f is at
V_f

known: M_1, M_2, M_f, and V_2

find: V_1 and V_f

Here is my solution:

conservation of mass implies that V_1 + V_2 = V_f

some other rule of chem that I think is right implies (M_1) * (V_1) =
(M_f) * (V_f)

here I have a pair of coupled linear equations in two variables, easy
to solve.

Is this right?

Herman Family

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Nov 23, 2009, 11:04:34 AM11/23/09
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"eratosthenes" <rehamk...@gmail.com> wrote in message
news:0fc63c3d-7340-40b3...@p36g2000vbn.googlegroups.com...

That depends, I think you are missing part of the problem, or I am.

M1*V1 is the number of moles in v1.
M2*V2 is the number of moles in v2
Mf*Vf is the number of moles in vf

If V1 + V2 = Vf, then
M1*V1 + M2*V2 = Mf*Vf

If only some small portion, x, of V2 was used to create Vf, then you have
M1*V1 + x*M2*V2 = Mf*Vf
V1 + x*V2 = Vf

It appears that all of the second solution was used, so the first set of
equations works.
You can't add concentrations. You need to add volumues and moles, then
refigure the concentration from that.

Michael

eratosthenes

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Nov 23, 2009, 1:05:08 PM11/23/09
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Thanks, that helps me a great deal.
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