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Ch.17 - Aqueous Ionic Equilibrium
Chapter 17, Problem 117

A 1.0-L buffer solution initially contains 0.25 mol of NH3 and 0.25 mol of NH4Cl. In order to adjust the buffer pH to 8.75, should you add NaOH or HCl to the buffer mixture? What mass of the correct reagent should you add?

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First, we need to understand that a buffer solution resists changes in pH when small amounts of an acid or a base are added. In this case, the buffer solution is made up of NH3 (a weak base) and NH4Cl (its conjugate acid).
Next, we need to calculate the pH of the buffer solution before any reagent is added. We can use the Henderson-Hasselbalch equation, which is pH = pKa + log([A-]/[HA]), where [A-] is the concentration of the base (NH3) and [HA] is the concentration of the acid (NH4+). Since the molar amounts of NH3 and NH4+ are equal, the log term will be zero, and the pH of the buffer will be equal to the pKa of the NH4+/NH3 system.
Then, we compare the initial pH of the buffer solution with the desired pH. If the initial pH is lower than the desired pH, we need to add a base (NaOH) to increase the pH. If the initial pH is higher than the desired pH, we need to add an acid (HCl) to decrease the pH.
Once we know which reagent to add, we can calculate the amount of reagent needed to adjust the pH to the desired value. We can use the equation n = C*V, where n is the number of moles, C is the concentration, and V is the volume. We can rearrange this equation to find the number of moles of reagent needed, and then convert this to mass using the molar mass of the reagent.
Finally, we add the calculated mass of the reagent to the buffer solution to adjust the pH to the desired value.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Buffer Solutions

A buffer solution is a system that resists changes in pH upon the addition of small amounts of acid or base. It typically consists of a weak acid and its conjugate base or a weak base and its conjugate acid. In this case, the buffer is made from ammonia (NH3) and ammonium chloride (NH4Cl), which helps maintain a stable pH in the solution.
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Henderson-Hasselbalch Equation

The Henderson-Hasselbalch equation relates the pH of a buffer solution to the concentration of its acidic and basic components. It is expressed as pH = pKa + log([A-]/[HA]), where [A-] is the concentration of the base and [HA] is the concentration of the acid. This equation is essential for determining how to adjust the pH of the buffer by adding either an acid or a base.
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pH Adjustment with Strong Acids and Bases

When adjusting the pH of a buffer solution, adding a strong acid (like HCl) will increase the concentration of the conjugate acid, while adding a strong base (like NaOH) will increase the concentration of the conjugate base. To achieve a desired pH, one must calculate the necessary amounts of these reagents based on the buffer's current composition and the target pH, using the Henderson-Hasselbalch equation.
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