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Multiple Choice
Determine the pH of a 0.036 M solution of formic acid (HCO2H), given that the acid dissociation constant (Ka) is 1.8 x 10^-4. The dissociation reaction is: HCO2H (aq) ⇌ H+ (aq) + HCO2- (aq).
A
pH = 2.37
B
pH = 4.12
C
pH = 1.85
D
pH = 3.45
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1
Identify the initial concentration of formic acid (HCO2H), which is given as 0.036 M.
Write the expression for the acid dissociation constant (Ka) for formic acid: \( K_a = \frac{[H^+][HCO_2^-]}{[HCO_2H]} \).
Assume that the concentration of H+ ions produced is 'x'. At equilibrium, [H+] = [HCO2-] = x and [HCO2H] = 0.036 - x.
Substitute these equilibrium concentrations into the Ka expression: \( 1.8 \times 10^{-4} = \frac{x^2}{0.036 - x} \).
Assume x is small compared to 0.036, so 0.036 - x ≈ 0.036. Solve for x using \( x^2 = 1.8 \times 10^{-4} \times 0.036 \), then calculate pH as \( pH = -\log[H^+] \).