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100 mole of formic acid (or methanoic acid) is added to water, the final volume

ID: 973021 • Letter: 1

Question

100 mole of formic acid (or methanoic acid) is added to water, the final volume being 1.00L o f solution. The K_a= 1.80 Times 10^-4 Write the balanced chemical equation for the equilibrium (use hydronium ion rather than hydrogen ion in the balanced equation.) find the equilibrium concentrations of each species (check 5% rule, but go ahead and use successive approximation to calculate concentrations to 3 sig figs) calculate the pH of the solution calculate the hydroxide concentration of the solution.

Explanation / Answer

a) HCOOH (aq) + H2O (l) <---> HCOO-(aq) + H3O+ (l)

b) at equilibrium [HCOOH] = 0.1-X , [HCOO-] = [H3O+] = X

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

1.8x10^ -4 = X^2 / ( 0.1-X)

X = 0.00415 = [H3O+] [HCOO-] ,

[HCOOH] = 0.1-0.0041536 = 0.0959 M

c) pH = -log [H+] = -log ( 0.00415) = 2.38

d) [OH-] = 10^ -14 /[H+] = 10^ -14 / ( 0.00415) = 2.41 x 10^ -12 M

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