To find the pka of x-281, you prepare a 0.089 m test solution of x-281 at 25.0 ∘c. the ph of the solution is determined to be 3.00. what is the pka of x-281?

Respuesta :

Answer;

pKa = 4.96

Explanation;

If X-281 is a weak acid HA, it will hydrolyze in water to produce some H3O+ and an equal amount of A-.  

                            HA + H2O ==> H3O+ + A-  

Initial molarity ;    0.095 . . . . . . . . . .0 . . . .0  

Change;                   -x . . . . . . . . . . . .x . . . .x  

At Equilibrium;   0.095 - x . . . . . . . . .x . . . .x  

Ka = [H3O+][A-] / [HA]

      = x^2 / (0.095 - x)  

But since the pH = 3.00, then [H3O+]

                            = 10^-pH = 1 x 10^-3 M

                            = x = 0.001.  

Ka = (0.001)^2 / (0.095 - 0.001)

     = 1.1 x 10^-5

But; pKa = -log (Ka)  

       pKa = - log (1.1 x 10^-5)

              = 4.96

pka value tells about the strength of an acid. The pka of x-281 at 25.0 ∘C is 4.96.

What is pka?

pka is the method to show the strength of an acid. A lower pka value shows that the acid is strong.

Given,

The solution is a weak acid, so it will fully dissociate into water.

[tex]\bold{pka= \dfrac{[H_3O^+][A^-]}{ [HA] } }\\[/tex]

[tex]\bold{pka= \dfrac{ X^2}{ 0.095-x} }\\[/tex]

But, since the pH is 3.00

Thus, [tex]pH = 10^-^p^H \\\\pH= 1 \times 10^-^3 M\\\\pH= x= 0.001[/tex]

The pka is

[tex]\bold{pka= \dfrac{ 0.001^2}{ 0.095-0.001}= 1.1\times 10^-^5 }\\[/tex]

Now, the pka =  -log (Ka)  

[tex]\bold{ - log (1.1 x 10^-^5) = 4.96}[/tex]

Thus, the pka of x-281 at 25.0 ∘C is 4.96.

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