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Ch.17 - Aqueous Ionic Equilibrium
Chapter 17, Problem 134

What is the mass of sodium formate required to be dissolved in 250.0 cm³ of a 1.4 M formic acid solution to prepare a buffer solution with a pH of 3.36?

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1
Identify the components of the buffer solution: formic acid (HCOOH) and sodium formate (HCOONa).
Use the Henderson-Hasselbalch equation for buffer solutions: \( \text{pH} = \text{pK}_a + \log \left( \frac{[\text{A}^-]}{[\text{HA}]} \right) \), where \([\text{A}^-]\) is the concentration of the conjugate base (sodium formate) and \([\text{HA}]\) is the concentration of the acid (formic acid).
Look up or calculate the \(\text{pK}_a\) of formic acid. It is typically around 3.75.
Rearrange the Henderson-Hasselbalch equation to solve for \([\text{A}^-]\): \([\text{A}^-] = [\text{HA}] \times 10^{(\text{pH} - \text{pK}_a)}\).
Calculate the moles of sodium formate needed using the concentration \([\text{A}^-]\) and the volume of the solution (250.0 cm³ or 0.250 L), then convert moles to mass using the molar mass of sodium formate.