At 25 °C, an aqueous solution has an equilibrium concentration of 0.00253 M for a generic cation, A2+(aq), and 0.00506 M for a generic anion, B−(aq). What is the equilibrium constant, Ksp, of the generic salt AB2(s)? Ksp=At 25 °C, an aqueous solution has an equilibrium concentration of 0.00253 M for a generic cation, A2+(aq), and 0.00506 M for a generic anion, B−(aq). What is the equilibrium constant, Ksp, of the generic salt AB2(s)? Ksp=

Respuesta :

Answer:

The equilibrium constant Ksp of the generic salt AB2 =  6.4777 *10^-8 M

Explanation:

Step 1: The balanced equation

AB2 ⇒ A2+ + 2B-

Step 2: Given data

Concentration of A2+ = 0.00253 M

Concentration of B- = 0.00506 M

Step 3: Calculate the equilibrium constant

Equilibrium constant Ksp of [AB2] = [A2+][B-]²

Ksp = 0.00253 * 0.00506² = 6.4777 *10^-8 M

The equilibrium constant Ksp of the generic salt AB2 =  6.4777 *10^-8 M

Answer:

[tex]6.477\times 10^{-7}[/tex] is the equilibrium constant, [tex]K_{sp}[/tex], of the generic salt [tex]AB_2[/tex].

Explanation:

Solubility product constant : It is defined as the product of the concentration of the ions present in a solution raised to the power by its stoichiometric coefficient in a solution of a salt. This takes place at equilibrium only. The solubility product constant is represented as, [tex]K__{sp}[/tex].

[tex]A_xB_y\rightleftharpoons xA^{y+}+yB^{x-}[/tex]

[tex]K_{sp}=[A^{y+}]^x\times [B^{x-}]^y[/tex]

Equilibrium concentration for a generic cation = [tex][A^{2+}]=0.00253 M[/tex]

Equilibrium concentration for a generic anion = [tex][B^{-}]=0.00506 M[/tex]

[tex]AB^2\rightleftharpoons A^{2+}+2B^-[/tex]

The expression of solubility product is given as:

[tex]K_{sp}=[A^{2+}][[B^-]]^2[/tex]

[tex]K_{sp}=0.00253 M\times (0.00506 M)^2=6.477\times 10^{-7}[/tex]

[tex]6.477\times 10^{-7}[/tex] is the equilibrium constant, [tex]K_{sp}[/tex], of the generic salt [tex]AB_2[/tex].