Ksp Pre-Lab Help: Calculate Pb(II) & I- at Equilibrium

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To calculate the equilibrium concentrations of Pb(II) and I- in the given reaction, the correct equilibrium expression is Ksp = [Pb²⁺][I⁻]². The initial micromoles of Pb²⁺ and I- can be determined using the concentration and volume of the solutions provided. The absorbance data can be used with the Lambert-Beer law to find the molar extinction coefficient and subsequently calculate the equilibrium concentration of I-. The ICE (Initial, Change, Equilibrium) method is applicable for determining the equilibrium concentrations needed for the Ksp calculation. Understanding proper notation and the use of the ICE table is essential for accuracy in these calculations.
rachelle
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Hi, I'm trying to do my prelab and I have no idea where to start... if someone can point me to the right direction, I will absolutely be grateful... :redface:

Given the following equilibrium:

PbI2 <----> Pb + 2I

You have a solution of the following:

4.77 ml of .00274M Lead Nitrate solution
4.35 ml of .00215M Iodide solution
5.00 ml of water

You measured the solution and get the following:
%T blank = 100.3 %
%T sample = 42.9 %
Absorbance of a 1.000 mM Iodide soln = .775

Calculate the following:
micromoles of Pb(II) originally put in solution
micromoles of I- originally put in solution
mM of I- at equilibrium
micromoles of I- in solution at equilibrium
micromoles of I- precipitated
micromoles of Pb(II) precipitated
micromoles of Pb(II) in solution at equilibrium
mM of Pb(II) in soluion at equilibrium
Ksp

The only ones I solved that were correct were the following:
total volume = 14.12 ml
absorbance of sample = .3688

Hope someone can help me... :cry:
 
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rachelle said:
Given the following equilibrium:

PbI2 <----> Pb + 2I

You have a solution of the following:

4.77 ml of .00274M Lead Nitrate solution
4.35 ml of .00215M Iodide solution
5.00 ml of water

You measured the solution and get the following:
%T blank = 100.3 %
%T sample = 42.9 %
Absorbance of a 1.000 mM Iodide soln = .775

The only ones I solved that were correct were the following:
total volume = 14.12 ml
absorbance of sample = .3688

first: your reaction equation is not completely correct. Dissolving PbI_{2}:

PbI_{2} \longrightarrow Pb^{2+} + 2 I^{-}

for the original micromols Pb^{2+} you have to use the formula c = \frac {n} {V} and you use the given: 4.77 ml of .00274M Lead Nitrate solution

The same counts for micromols I^{-}

The third one you need to use the law of Lambert-Beer: A =\epsilon\cdot c\cdot l. From the given : Absorbance of a 1.000 mM Iodide soln = .775, you can calculate \epsilon And then with this found \epsilon you can calculate [I^{-}]_{eq}. Only you need to know l: the length of the cuvet where the light goes through. Since it's a prelab, you'll probably have this parameter.

Then you have everything to go on calculating K_{sp}
 
Last edited:
sdekivit said:
The third one you need to use the law of Lambert-Beer: A =\epsilon\cdot c\cdot l. From the given : Absorbance of a 1.000 mM Iodide soln = .775, you can calculate \epsilon And then with this found \epsilon you can calculate [I^{-}]_{eq}. Only you need to know l: the length of the cuvet where the light goes through. Since it's a prelab, you'll probably have this parameter.

Then you have everything to go on calculating K_{sp}


Thank you sooo much! :smile:

Okay, I've solved everything correctly except for Ksp

I should use Ksp = [Pb]^2 right?

But which concentrations should I use? The ones at equilibrium? Do I need to do "ICE"? I'm not familiar with it, but I searched and they mentioned "ICE", not sure if it's applicable here though...

Thanks again!
 
Last edited:
rachelle said:
I should use Ksp = [Pb]^2 right?



yes, but watch your notations !

K_{sp} = [Pb^{2+}(aq)][I^{-}(aq)]^{2}

you already know the equilibrium concentrations and you need them here. As for your question about ICE: you already had to use it to get to the equilibriumconcentrations.
 
sdekivit said:
yes, but watch your notations !

K_{sp} = [Pb^{2+}(aq)][I^{-}(aq)]^{2}

you already know the equilibrium concentrations and you need them here. As for your question about ICE: you already had to use it to get to the equilibriumconcentrations.


Thank you, thank you, thank you~~sdekivit! I finally got it :rolleyes:

Also yes, I should learn how to use the notations correctly... I'll read up on how to use the notations here on the forum :smile:
Thank you again!
 
sdekivit said:
first: your reaction equation is not completely correct. Dissolving PbI_{2}:

PbI_{2} \longrightarrow Pb^{2+} + 2 I^{-}

for the original micromols Pb^{2+} you have to use the formula c = \frac {n} {V} and you use the given: 4.77 ml of .00274M Lead Nitrate solution

The same counts for micromols I^{-}

The third one you need to use the law of Lambert-Beer: A =\epsilon\cdot c\cdot l. From the given : Absorbance of a 1.000 mM Iodide soln = .775, you can calculate \epsilon And then with this found \epsilon you can calculate [I^{-}]_{eq}. Only you need to know l: the length of the cuvet where the light goes through. Since it's a prelab, you'll probably have this parameter.

Then you have everything to go on calculating K_{sp}


Hi, i couldn't help but wonder how you calculated the equilibrium concentration of I- from the molar extinction coefficient, E?? I have a very similar problem to Rachelle's post...
 
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