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Formic acid (HCO2H) is an organic acid secreted by ants and stinging nettles. Calculate the pH in...

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Chemistry

Formic acid (HCO2H) is an organic acid secreted by ants andstinging nettles.

Calculate the pH in 0.21M HCO2H (Ka=1.8

Answer & Explanation Solved by verified expert
3.8 Ratings (614 Votes)

HCOOH + H2O -------------> H3O+ + HCOO-

    0.21                                    0             0

   0.21 - x                                x              x

Ka = [ H3O+][HCOO-]/[HCOOH]

1.8 x 10-4 = x X x/0.21 - x

   x2 + 1.8 x 10-4x - 0.378 x 10-4 = 0

x = - 1.8 x 10-4+ sqrt [(1.8 x 10-4 )2+ 4 x 1 x 0.378 x 10-4]/2

x = 0.6 x 10-2

concentration of species

[HCOOH] = 0.21 - x

                 = 0.21 - 0.006

                 = 0.204M

[HCOO-] = 0.006M

[H3O+]   = 0.006M

[OH-] = Kw/[H3O+] = 10-14/0.006

          = 0.166 x 10-11M

PH = -log[H3O+]

     = -log[6 x 10-3]

PH   = 2.22
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