Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A buffer that contains 0.35 M of a base, B and 0.28 M of its conjugate acid BH+,

ID: 494797 • Letter: A

Question

A buffer that contains 0.35 M of a base, B and 0.28 M of its conjugate acid BH+, has a pH of 9.71. What is the pH after 0.01 mol of HCl are added to 0.71 L of the solution? (Answer: 9.67)

Calculate the pH during the titration of 30.00 mL of 0.1000 M LiOH with 0.1000 M HClO4 after 30.5 mL of the acid have been added. (Answer: 3.08)

Calculate the pH during the titration of 20.00 mL of 0.1000 M HClO(aq) with 0.1000 M NaOH(aq) after 5 mL of the base have been added. Ka of hypochlorous acid = 3.0 x 10-8 (Answer: 7.05)

Explanation / Answer

Given, pH of buffer = 9.71

               [H+] = 1.95 * 10-10 M

         and [OH-] = (1.0*10-14 ) / [H+]

                          = 5.13*10-5 M

             B (aq) + H2O (l) <-----> BH+ (aq) + OH- (aq)

I(M)      0.35 0.28                0

C(M) -5.13*10-5 +5.13*10-5 +5.13*10-5

         -------------------------------------------------------

E(M)     0.35 0.28   5.13*10-5

                 Kb   = [BH+][OH-] / [B]

                         = 0.28 * 5.13*10-5 / 0.35

                         = 4.104*10-5

When 0.01 mol HCl is added to 0.71 L of this solution, concentration is 0.01 mol / 0.71 L

                                                                                                                  = 0.01408 M

             B + HCl   ------> BH+   + Cl-

I(M)      0.35 0.01408 0.28

C(M) -0.01408 - 0.01408 +0.01408

          ------------------------------------

E(M) 0.336 0                   0.294

                 Kb   = [BH+][OH-] / [B]

         4.104*10-5= 0.294 *  [OH-] / 0.336

              [OH-] = 4.69*10-5 M

   

Then, [H+] = 2.13*10-10 M

      so pH = 9.67