The solubility product of PbI2 is 7.9x10^-9. What is the molar solubility of PbI2 in distilled water?
A.) 2.0x10^-3
B.) 1.25x10-3
C.) 5.0x10^-4
D.) 8.9x10^-5

Respuesta :

Answer: The molar solubility of [tex]PbI_2[/tex] is [tex]1.25\times 10^{-3}mol/L[/tex]

Explanation:

Solubility is defined as the maximum amount of solute that can be dissolved in a solvent at equilibrium.

Solubility product is defined as the product of concentration of ions present in a solution each raised to the power its stoichiometric ratio.

The balanced equilibrium reaction for the ionization of calcium fluoride follows:

[tex]PbI_2\rightleftharpoons Pb^{2+}+2I^-[/tex]

                s       2s

The expression for solubility constant for this reaction will be:

[tex]K_{sp}=[Pb^{2+}][I^-]^2[/tex]

We are given:

[tex]K_{sp}=7.9\times 10^{-9}[/tex]

Putting values in above equation, we get:

[tex]7.9\times 10^{-9}=(s)\times (2s)^2\\\\7.9\times 10^{-9}=4s^3\\\\s=1.25\times 10^{-3}mol/L[/tex]

Hence, the molar solubility of [tex]PbI_2[/tex] is [tex]1.25\times 10^{-3}mol/L[/tex]

Answer:

The molar solubility of distilled water is [tex]$1.25 \times 10-3$[/tex] (Option B)

Explanation:

Given:

[tex]Pbl_2 -7.9 \times 10^-^9.[/tex]

Expression for solubility constant is,

[tex]$K_{s p}=\left[P b^{2+}\right]\left[I^{-}\right]^{2}$[/tex]

The given equation is,

[tex]$K_{s p}=7.9 \times 10^{-9}$[/tex]

Equation is to calculated as,  

[tex]$7.9 \times 10^{-9}=(s) \times(2 s)^{2}$[/tex]

[tex]$7.9 \times 10^{-9}=4 s^{3}$[/tex]

[tex]$s=1.25 \times 10^{-3} \mathrm{~mol} / L$[/tex]

The solubility product in distilled water is [tex]$s=1.25 \times 10^{-3} \mathrm{~mol} / L$[/tex].

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