If A is slowly added to a solution containing 0.0500 M of B and 0.0500 M of C, which solid will precipitate first? The solubility product constant for A2B3 is 2.30×10−8. The solubility product constant for AC4 is 4.10×10−8.

Respuesta :

Answer:

AC₄ will precipitate out first.

Explanation:

A solid will precipitate out if the ionic product of the solution exceeds the solubility product.

Let us check the ionic product

a) A₂B₃

Ionic product = [A]²[B]³

[A] = say "s"

[B] = 0.05 , [B]³ = (0.05)³ = 0.000125

2.3 X 10⁻⁸ = [A]²(0.000125)

[A] = 0.0136

b) AC₄

Ionic product = [A] [C]⁴

[A] = "s"

[A][0.05]⁴ = 4.10 X 10⁻⁸

[A]=0.00656 M

So for ionic product to exceed solubility product, we need less concentration of A in case of AC₄.

We conclude that in the case of AC_4 we need less of A

and hence AC_4 will be first to precipitate out.

Which solid will precipitate first?

a)Generally, equation for the ionic product is given as

Ionic product = [A]²[B]³

Where

[B] = 0.05

[B]³ = (0.05)³

[B] = 0.000125

Therefore

2.3 X 10^{-8} = [A]²(0.000125)

[A] = 0.0136

b)

Ionic product = [A] [C]⁴

[A][0.05]⁴ = 4.10 X 10⁻⁸

[A]=0.00656 M

So for ionic product to exceed solubility product, we need less concentration of A in case of AC₄.

Hence we conclude that in the case of AC_4 we need less of A

and hence AC_4 will [A]=0.00656 M

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