All Exams Test series for 1 year @ ₹349 only
Question

The solubility product of the following type of reaction :
$Al(OH)_3 \rightarrow Al^{3+} + 3\bar{O}H$ is

The correct answer is
$Ksp = (Al^{3+})(\bar{O}H)^3$

$Al(OH)_3$ Solubility Product ($Ksp$) Derivation

The dissociation reaction for aluminum hydroxide ($Al(OH)_3$) in water is given as:

$Al(OH)_3 \rightarrow Al^{3+} + 3\bar{O}H$

The solubility product constant ($Ksp$) represents the equilibrium constant for the dissolution of a sparingly soluble ionic compound. For a general compound $M_xN_y$ that dissociates into $xM^{y+}$ ions and $yN^{x-}$ ions:

$M_xN_y(s) \rightleftharpoons xM^{y+}(aq) + yN^{x-}(aq)$

The expression for the solubility product is:

$K_{sp} = (M^{y+})^x (N^{x-})^y$

Where $(M^{y+})$ and $(N^{x-})$ represent the molar concentrations of the respective ions at saturation.

Applying this definition to the dissociation of $Al(OH)_3$:

  • The cation is $Al^{3+}$ with a stoichiometric coefficient of 1.
  • The anion is $\bar{O}H$ with a stoichiometric coefficient of 3.

Therefore, the $Ksp$ expression is:

$K_{sp} = (Al^{3+})^1 (\bar{O}H)^3$

Simplifying the expression gives:

$K_{sp} = (Al^{3+})(\bar{O}H)^3$

Was this answer helpful?

Important Questions from Chemical Equilibrium

  1. The vapour pressures of water, acetone and ethanol at 293 K are 2.34 kPa, 12.36 kPa and 5.85 kPa respectively. Which of the following has the lowest boiling point?

  2. Consider the gas phase reaction 2A(g) + 3B(g) ⇌ 2C(g) at a given temperature. When 2.0 moles of A(g) are reacted with 2.0 moles of B(g), 0.8 moles of C(g) are formed at equilibrium at a total pressure of 2.0 bar. The value of the equilibrium constant, KP of this reaction at the given temperature is closest to

  3. The equilibrium dissociation energy of a diatomic molecule is 4.75 eV and its stretching frequency corresponds to 0.5 eV. The minimum energy required to dissociate the molecule in eV is

  4. For the reaction N2(g) + 3H2(g) → 2NH3(g), the thermodynamic quantity which depends upon the pressure at which equilibrium is arrived at is (superscript 'o'represents standard state)

  5. The equilibrium constant for the formation of the complex \(\rm Zn (NH_3)_4^{2+}\) at 25°C is close to:

    [Given: \(\rm E^0_{Zn^{+2}/Zn}=-0.763V\) and \(\rm E^0_{Zn(NH_3)^{+2}_4/Zn,NH_3}=-1.03V\)]

Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App