Consider a buffer solution comprised of HF and F-. The Ka of HF is 6.3 x 10-4. If the pH of the buffer solution is 3.64 and [HF] = 0.110 M, how many moles of F- are present? The volume of the buffer solution is 297 mL.
Answer
0.08996mol
Explanation
Henderson - Hasselbalch equation is
pH = pKa + log([A-]/[HA])
where,
pH = pH of buffer solution , 3.64
pKa = pKa of weak acid , 3.20 (pKa = -logKa = -log(6.3×10-4) = 3.20 )
[A-] = concentration of conjucate base , concentration of F-
HA = weak acid , concentration of HF , 0.110M
substituting the values
3.64 = 3.20 + log ( [F-]/0.110M)
log([F-]/0.110M) = 0.44
[F-] /0.110M = 2.754
[F-] = 0.3029M
Molarity = number of moles of solute per liter of solution
Number of moles of F- = (0.3029mol/1000ml ) × 297ml = 0.08996mol
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