[Equilibrium] Max of A in Saturated Solution B

In summary, the maximum concentration of CO32- in a saturated solution of AgBr can be calculated using the equilibrium constant, Ksp, and ICE tables. By setting up the equation Ksp = [Ag+]2[CO32-] and solving for [CO32-], a value of 3.95 M is obtained. However, the actual answer may be 16 M, which could be a result of a calculation error or a typo in the key.
  • #1
brbrett
35
0

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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  • #2
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.
 

1. What does "equilibrium" mean in this context?

In this context, equilibrium refers to a state in which the rate of a chemical reaction or process going forward is equal to the rate of the same reaction or process going in reverse. This results in no net change in the concentration of the substances involved.

2. What is the "max of A" in this equation?

"Max of A" refers to the maximum amount or concentration of substance A that can be dissolved in solution B at a given temperature. This is also known as the solubility of A in B.

3. What does "saturated solution" mean?

A saturated solution is one in which the maximum amount of a substance has been dissolved in a given amount of solvent at a specific temperature. At this point, any additional substance added will not dissolve and will instead form a precipitate.

4. How is the "max of A" affected by temperature?

The solubility of a substance, or the "max of A" in this equation, is typically affected by temperature. In general, as temperature increases, the solubility of solids in liquids also increases. However, the opposite is true for gases, as their solubility decreases with increasing temperature.

5. Can the "max of A" ever change in a saturated solution?

Yes, in some cases, the "max of A" may change in a saturated solution. This can occur if the temperature or pressure of the system changes, or if another substance is added that can interact with the dissolved substance, causing it to either increase or decrease in solubility.

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