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Ch.17 - Aqueous Ionic Equilibrium
Chapter 17, Problem 116

A buffer is created by combining 3.55 g of NH3 with 4.78 g of HCl and diluting to a total volume of 750.0 mL. Determine the pH of the buffer.

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1
Calculate the moles of NH3 using its molar mass: \( \text{moles of NH}_3 = \frac{3.55 \text{ g}}{17.03 \text{ g/mol}} \).
Calculate the moles of HCl using its molar mass: \( \text{moles of HCl} = \frac{4.78 \text{ g}}{36.46 \text{ g/mol}} \).
Determine the limiting reactant by comparing the moles of NH3 and HCl, and calculate the moles of NH4+ formed.
Use the Henderson-Hasselbalch equation: \( \text{pH} = \text{pK}_a + \log \left( \frac{[\text{base}]}{[\text{acid}]} \right) \), where \( \text{pK}_a \) is for NH4+ and the concentrations are based on the remaining NH3 and formed NH4+.
Calculate the concentrations of NH3 and NH4+ by dividing their moles by the total volume of the solution (0.750 L) and substitute these values into the Henderson-Hasselbalch equation to find the pH.