[Equilibrium] Max of A in Saturated Solution B

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SUMMARY

The maximum concentration of carbonate ions ([CO32-]) in a saturated solution of silver bromide (AgBr) is determined using the solubility product constant (Ksp). The calculation involves the relationship Ksp = [Ag+][Br-], where Ksp for AgBr is 5.4E-13. The derived formula for [CO32-] is 8.5E-12 = (2(sqrt(5.4E-13)))² [CO32-], leading to a calculated concentration of 3.95 M. However, the provided answer key states the maximum concentration is 16 M, indicating a potential miscalculation in the approach or interpretation of the stoichiometric coefficients.

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Homework Statement


What is the maximum [CO32-] that can exist in a saturated solution of AgBr?

Homework Equations


Equilibrium Constants, ICE tables
sqrt = square root

The Attempt at a Solution


Ksp = [Ag+][Br-]
sqrt(5.4E-13) = x (Ag and Br are in equal proportion to one another)
where x = [concentration] of Ag+

Ksp = [Ag+]2[CO32-]
8.5E-12 = (2(sqrt(5.4E-13)))2 [CO32-]
[CO32-] = 3.95

However, the key has an answer of 16 M. Multiplying my current answer by 4 gives something close, but regardless, I'm missing something in my calculations. Thanks for any help~
 
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brbrett said:
8.5E-12 = (2(sqrt(5.4E-13)))2 [CO32-]

Why 2?

16M looks wrong to me, as if it was missing a comma.
 

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