At 25 oC the solubility of iron(II) hydroxide is 1.59 x 10-5 mol/L. Calculate the value of Ksp at this temperature. Give your answer in scientific notation to 2 SIGNIFICANT FIGURES (even though this is strictly incorrect). [a]

Respuesta :

Answer:

[tex]Ksp=1.4\times 10^{-14}[/tex]

Explanation:

 Balance equaion of the given reacion is:

[tex]Fe(OH)_2[/tex] ⇄ [tex]Fe^{2+} +2OH^-[/tex]

lets solubility is S

given:

[tex]S=1.59\times10^{-5} mol/L[/tex]

Solubility of each ion;

[tex][Fe^{2+}]= S;[/tex]

[tex][OH^-]=2S;[/tex]

[tex]Ksp=S\times(2S)^2;[/tex]

[tex]Ksp=4S^3[/tex]

after putting value of S the value of Ksp is:

[tex]Ksp=4\times(1.5\times10^{-5} )^{3}[/tex]

[tex]Ksp=1.35\times 10^{-14}[/tex]

Upto 2 significant figure:

[tex]Ksp=1.4\times 10^{-14}[/tex]

The Ksp of the solution is [tex]1.607*10^-^1^4[/tex]

Data;

  • Temperature = 25°
  • solubility = 1.59*10^-5 mol/L
  • Ksp = ?

Solubility Constant

This is the point or temperature in which a solute is completely soluble in a solvent.

The solubility of iron(ii) hydroxide can be calculated by using the equation of reaction.

[tex]Fe(OH)_2 \to Fe^2^+ + 2OH^-\\[/tex]

But the solubility of the solution is given as 1.59*10^-5 mol/L

[tex][Fe^2^+] = s\\\\[/tex]

[tex][OH^-] = 2s\\K_s_p = s * (2s)^2 = 4s^3[/tex]

Let's substitute the values and solve

[tex]K_s_p = 4 *( 1.59*10^-^5)^3 = 1.607*10^-^1^4[/tex]

The Ksp of the solution is [tex]1.607*10^-^1^4[/tex]

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