How do you calculate Ksp from molar solubility?
Here's how you can do that.
Here, let's work with a generic dissociation equilibrium.
Thus, the saturated solution will have the following contents:
This is the same as
To test this expression numerically, let's look at an example.
You can observe that you have
Typically, the solubility product constant is provided without additional units, so you would have to
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To calculate the solubility product constant (Ksp) from molar solubility, you use the following steps:
- Write the balanced chemical equation for the dissolution of the compound in water.
- Use stoichiometry to determine the concentration of each ion in solution.
- Write the equilibrium expression for the dissolution reaction.
- Substitute the equilibrium concentrations (in terms of molar solubility) into the equilibrium expression.
- Solve for Ksp.
The general equation for the dissolution of a sparingly soluble salt ( A_{\text{m}}B_{\text{n}} ) can be written as:
[ A_{\text{m}}B_{\text{n}}(s) \rightleftharpoons m A^{m+}(aq) + n B^{n-}(aq) ]
And the equilibrium expression for this dissolution reaction is:
[ K_{\text{sp}} = [A^{m+}]^m[B^{n-}]^n ]
Where ( K_{\text{sp}} ) is the solubility product constant, and ( [A^{m+}] ) and ( [B^{n-}] ) are the equilibrium concentrations of the ions in solution.
By substituting the concentrations in terms of molar solubility (( s )) into the equilibrium expression, you can solve for ( K_{\text{sp}} ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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