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Lactic acid, C3H6O3, occurs in sour milk as a result of the metabolism of certain bacteria....

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Chemistry

Lactic acid, C3H6O3, occurs in sour milk as a result of themetabolism of certain bacteria. Calculate the pH of a solution of56 mg lactic acid in 250.0 mL water. Ka for D-lactic acid is 1.4 ×10-4.

I mostly need help with solving the quadratic formula portion ofthis problem

Answer & Explanation Solved by verified expert
4.2 Ratings (845 Votes)

C3H6O3 <-----> C3H5O3- + H+

molarity of lactic acid = (56*10^-3)/90 *1000/250

                                = 0.0025 M

C3H6O3 <-----> C3H5O3- + H+

0.0025                 0           0       initial

-x                        +x          +x    change

0.0025-x               x            x     equilibrium

Ka = x^2/(0.0025-x)

1.4*10^-4 = x^2/(0.0025-x)

x = 0.000526

pH = -log(0.000526)

     = 3.28
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