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

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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 Ã—10-4.
I mostly need help with solving the quadratic formula portion ofthis problem

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4.2 Ratings (845 Votes)

C₃H₆O₃ <-----> C₃H₅O₃^- + H⁺

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

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.0025 M

C₃H₆O₃ <-----> C₃H₅O₃^- + H⁺

0.0025Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â initial

-xÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â +xÂ Â Â Â Â Â Â Â Â +xÂ Â Â change

0.0025-xÂ Â Â Â Â Â Â Â Â Â Â Â Â Â xÂ Â Â Â Â Â Â Â Â Â Â xÂ Â Â Â equilibrium

Ka = x^2/(0.0025-x)

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

x = 0.000526

pH = -log(0.000526)

Â Â Â Â = 3.28

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

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60.1K

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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 Ã—10-4.
I mostly need help with solving the quadratic formula portion ofthis problem

Answer & Explanation Solved by verified expert

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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 Ã—10-4.I mostly need help with solving the quadratic formula portion ofthis problem

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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 Ã—10-4.
I mostly need help with solving the quadratic formula portion ofthis problem