contestada

How many mL of 0.05 M sodium acetate should be added to 100 mL of 0.05M acetic acid to make a buffer of pH 5.1? What is the molarity of the resulting buffer with respect to acetate (Acetate + Acetic Acid)? pKa acetic = 4.76

Respuesta :

Explanation:

Let us assume that volume of acetic acid added is V ml.

So,   [tex][CH_{3}COOH] = \frac{0.05 \times 100}{100 + V}[/tex]

and,   [tex][CH_{3}COONa] = \frac{0.05 \times V}{100 + V}[/tex]

Expression for the buffer solution is as follows.

     pH = [tex]pK_{a} + log \frac{[CH_{3}COONa]}{[CH_{3}COOH]}[/tex]

     5.1 = [tex]4.76 + log \frac{0.05 \times V}{0.05 \times 100}[/tex]

         0.34 = log V - 2

         log V = 2.34

or,        V = 218.77 ml

Now, we will calculate the molarity of the buffer with respect to acetate as follows.

  = [tex][CH_{3}COO^{-}] + [CH_{3}COOH][/tex]

  = [tex]\frac{0.05 \times 218.77}{318.77} + \frac{0.05 \times 100}{318.77}[/tex]

  = 0.0499 M

or,  = 0.05 M (approx)

Thus, we can conclude that molarity of the resulting buffer with respect to acetate is 0.05 M.