Question

express KSP in terms of molar solubility x for a salt with a formula of

Express Ksp in terms of molar solubility, x, for a salt with a formula of


AB(s)


AB2(s)


AB3(s)


A3B2(s)

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Concepts and reason

Solubility:

Solubility is defined as the maximum amount of solute dissolved in a given amount of solvent to make a saturated solution at a particular temperature.

Molar solubility:

The molar solubility is the number of moles of solute that dissolves in a litre of solution. It is expressed as mol/L or M (molarity).

Fundamentals

Solubility product: The equilibrium constant which defines the solubility of ionic substance in water is known as solubility product. The solubility product is denoted byК.
*sp
.

For a saturated solution, the solubility product is the product of activities of the ions, each raised to its coefficients (powers).

Consider a general reaction:

nM* (aq) +mX (aq)
MX(s)

The solubility product is expressed as follows:

к, - [мТ[x-Г
K
sp

Where,

Solubility product = К.
*sp

The molar solubility of M ion = [м]

The molar solubility of X ion = [X]

The ions raised to the power= n and m

Let the solubility of A and Bbe x
еxх.

The equation is as follows:

AB(s) A (aq) +B (aq)
Ksp= [AB]
(x)(x)
2
= x

Let concentrations of

The equation is as follows:

АВ, (s) — А(аq) + 2B (аq)
Kар- [А|в]
Ksp
(x(2x)
=4x

Let concentrations of

The equation is as follows:

АВ, (s) — А
(аq) + 3в (аq)
Кaр- [А|в]
- («)(3х)
3D 27х

Let concentrations of

The equation is as follows:

А, В, (s) — ЗА (аq) + 2B* (ас
Ksp- [AТ[вТ
- (3к) (2»)
%3D 108х5

Ans:

Kspin terms of molar solubility,x, for the salts are as follows:
А s)
АВ,(8)
АВ,(s)
А,В, (s)
Ksp x2
Ksp 4x3
Ksp 27x
Ksp 108x

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