Question

In: Chemistry

Perform the appropriate calculation to determine the theoretical pH of the buffer solution after 10 drops...

Perform the appropriate calculation to determine the theoretical pH of the buffer solution after 10 drops of 0.1M HCl was added. Ka of acetic acid = 1.8 x 10-5

Solutions

Expert Solution

Suppose, moles of the acid in the buffer be 0.23 mol and the conjugate base be 0.17 mol. (Because nothing has been mentioned about the buffer solution in the question)

Volume of 10 drops of HCl = (0.5 x 10 ) mL = 5 mL = 0.005 L

Moles of HCl added = (0.1 x 0.005 ) mol = 0.0005 mol

                            HA   -----> H+ + A-

Initial                    0.23 mol     -        0.17 mol

Change                + 0.0005 mol   -   ( - 0.0005 ) mol

Equilibrium          0.2305 mol       -        0.1695 mol

pH = pKa + log (A- / HA)

pKa = -log ( 1.8 x 10 ^-5) = 4.74

pH = 4.74 + log ( 0.1695/ 0.2305) = 4.74 - 0.133 = 4.607


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