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Ch.18 - Aqueous Ionic Equilibrium
Chapter 18, Problem 59c

A 500.0-mL buffer solution is 0.100 M in HNO2 and 0.150 M in KNO2. Determine if each addition would exceed the capacity of the buffer to neutralize it. c. 1.25 g HBr

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Step 1: Identify the acid and base in the buffer solution. In this case, HNO<sub>2</sub> is the weak acid and KNO<sub>2</sub> (which dissociates to give NO<sub>2</sub><sup>-</sup>) is the weak base.
Step 2: Calculate the moles of HNO<sub>2</sub> and NO<sub>2</sub><sup>-</sup> in the buffer solution. This can be done by multiplying the molarity by the volume of the solution (in liters).
Step 3: Calculate the moles of HBr that are being added to the buffer solution. This can be done by dividing the mass of HBr (in grams) by its molar mass.
Step 4: Determine if the buffer can neutralize the added HBr. The buffer can neutralize the HBr if the moles of NO<sub>2</sub><sup>-</sup> (the base) are greater than or equal to the moles of HBr (the acid). If the moles of HBr are greater than the moles of NO<sub>2</sub><sup>-</sup>, then the buffer's capacity to neutralize the acid has been exceeded.
Step 5: If the buffer's capacity is exceeded, calculate by how much. This can be done by subtracting the moles of NO<sub>2</sub><sup>-</sup> from the moles of HBr.

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Key Concepts

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

Buffer Solutions

Buffer solutions are mixtures that resist changes in pH when small amounts of acid or base are added. They typically consist of a weak acid and its conjugate base, or a weak base and its conjugate acid. In this case, the buffer is composed of HNO2 (a weak acid) and KNO2 (its conjugate base), which helps maintain the pH when HBr, a strong acid, is introduced.
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Buffer Capacity

Buffer capacity refers to the amount of acid or base that a buffer solution can neutralize before a significant change in pH occurs. It depends on the concentrations of the weak acid and its conjugate base. In this scenario, the buffer's capacity will be tested by the addition of HBr, and determining whether the buffer can handle this addition is crucial for understanding its effectiveness.
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Stoichiometry of Acid-Base Reactions

Stoichiometry involves the calculation of reactants and products in chemical reactions. For the buffer solution, the addition of HBr will react with the weak base (KNO2) present in the buffer. Calculating the moles of HBr added and comparing it to the moles of KNO2 will help determine if the buffer can neutralize the added strong acid without exceeding its capacity.
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