Calculate Molarity of Cl- in Solution

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The discussion revolves around calculating the molarity of chloride ions (Cl-) in a solution after a series of chemical reactions involving chromium (Cr3+) and ethylenediamine (en). The initial step involves treating a chloride solution with Cr3+ to form hexachlorochromate(III), followed by titration of excess Cr3+ with en. The calculations for determining Cl- molarity are debated, with participants attempting to incorporate the correct volumes and concentrations from the titration data. The key points include the need to account for the moles of Cr3+ that reacted and the excess remaining after the reaction with en. There is also a discussion on the reactivity of the hexachlorochromate(III) complex with en, suggesting that it may not react readily, which could affect the calculations. Ultimately, participants are refining their calculations to arrive at a correct molarity for Cl-, with one participant suggesting a value of 0.022 M.
nautica
A Cl solution with a volume of 13.53 mL was treated with 30.0 mL of Cr3+ solution (containing excess Cr3+) to convert to hexachlorochromateIII:

6Cl- + Cr ----- Cr(Cl)6

The excess Cr3+ was then tirated with 11.85 mL of 0.01280 M (en) according to equation:

Cr + 3en ------------- Cr(en)3

Cr(Cl)6 does not react with en. If 41.35 ML of en were required to react with 20.17 mL of the original Cr3+ solution, calculate the molarity of Cl in the 13.53 mL Chloride sample.

THIS IS WHAT I DID

0.04135 L * 0.01280 M / 3 moles / 0.02017 L * 0.03 L * 6 mol Cl / 0.01353 L with an answer of 0.1164 M Cl- in solution

my problem is - no where did I include the 11.85 mL of the en that was calculated. Do I need to or does this look correct?

Thanks
Nautica
 
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You can find Cl- molarity by equating no: moles.
You can find molarity of Cr3+ by:
41.35 ML of en were required to react with 20.17 mL of the original Cr3+ solution

Then you can find no moles of Cr3+ excess in reaction b/w Cl- by:

The excess Cr3+ was then tirated with 11.85 mL of 0.01280 M (en)

Therefore you can find no moles of Cr3+ required to react with CL- and thus no moles of Cl- by:
13.53 mL was treated with 30.0 mL of Cr3+ solution

The dividing by volume you get Molarity.

Central idea is that there is excess Cr3+.
Sorry for long post
regards
 
That sounds better. Let me try it and I will post my results.

Thanks
Nautica
 
I am still doing something wrong

0.04135 L * .01280 M / 3 moles * .02017 L * .01185 L / .03 L * .0135 L * 6 moles

gives me 1.14 x 10 ^-7 then I divided that by the 13.35 mL to get 8.4 x 10^-6 M of Cl- but that does not sound right.

thanks
 
I will try to do it in steps so that we can find out mistakes if any easily. :biggrin:
molarity of cr3+=41.35 *0.01280 /3*(20.17) -->(A)
(note:both V are in mL so conversion factor cancels out)
Total no moles in Cr3+soln = (A)*30.0 /1000 -->(B)
No: moles unreacted=11.85 *0.01280 /3 -->(C)
Therefore total no moles unreacted=(B)-(C)
Therefore total no moles of CL- == [(B)-(C)]*6
Molarity of Cl- = [(B)-(C)]*6/.01353
Too lazy to do numericals now :zzz: .Try this. :smile: :biggrin: :wink:
 
That answer looks better. I am getting 0.022 M of Cl-
 
I will not contribute to the answering effort, as poolwin2001 did it quite well. I wondered some other thing:

nautica said:
Cr(Cl)6 does not react with en.

It is interesting, since ethylenediamine is a chelator, strong enough to make hexachlorochromate(III) ion to convert [Cr(en)3]3+, at least this is what I thought when I read this thread.

The theoretical reaction should be like this:

[CrCl_6]^{3-}~+~3~en \rightarrow [Cr(en)_3]^{3+}~+~6~Cl^-

I have some suggestions though. It is possible that ethylenediamine does not react readily with the labile chromium complex, so a rapid treatment would only chelate the uncomplexed chromium.

Is there anyone to clear this?
 
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