A 250 mL sample of saturated AgOH solution was titrated with HCl, and the endpoint was reached after 2.60 mL of 0.0136 M of HCl was dispensed. Based on this titration, what is the Ksp of AgOH?

Respuesta :

Answer:

Ksp=1.9×10⁻⁸

Explanation:

First write the balane chemical reaction

AgOH + HCl → AgCl+H2O

Titration reaction occur completely

N-factor of AgOH and HCl is one

normality=molarity

Noermality of HCl=0.0136

N₁ and N₂ are the normality of AgOH and HCl respectively

V₁ and V₂ are the volume of AgOH and HCl respectively

mili equvalent of AgOH-mili equivalent of HCl

[tex]N_1[/tex]=?

[tex]V_1[/tex]=250ml

[tex]N_2[/tex]=0.0136

[tex]V_2[/tex]=2.6ml

[tex]N_1V_1=N_2V_2[/tex]

after puttting all the value we get,

[tex]N_1[/tex]=0.000141 =normality of AgOH solution

molarity=0.000141M

Calculation of Ksp

AgOH⇄Ag⁺  +  OH⁻

Lets solubility=S

[tex][Ag^+][/tex]=S

[OH⁻]=S

and S is equal to the concentration of AgOH because that concentration is calculated when solution become satrated.

hence S=0.000141M

Ksp=[Ag+][OH-]

Ksp=S×S

Ksp=1.9×10⁻⁸

The Ksp of AgOH will be "1.98×10⁻⁸".

According to the question,

The chemical reaction is:

  • [tex]AgOH+HCl \rightarrow AgCL(s) +H_2 O[/tex]

As we know the relation,

→ [tex]C_1 V_1 = C_2 V_2[/tex]

(AgOH)  (HCl)

By substituting the values, we get

→ [tex]C_1\times 250 \ mL = 0.0136\times 2.60 \ mL[/tex]

                   [tex]C_1 = \frac{0.0136\times 2.60}{250}[/tex]

                        [tex]= 0.000141[/tex]

Now,

  • [tex]AgOH = Ag^+ +OH^-[/tex]

                        (s)        (s)

hence,

The Ksp will be:

= [tex]s^2[/tex]

= [tex](0.000141)^2[/tex]

= [tex]1.98\times 10^{-8}[/tex]

Thus the solution above is right.

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