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Ch.17 - Aqueous Ionic Equilibrium
Chapter 17, Problem 55a

Blood is buffered by carbonic acid and the bicarbonate ion. Normal blood plasma is 0.024 M in HCO3- and 0.0012 M H2CO3 (pKa1 for H2CO3 at body temperature is 6.1).
a. What is the pH of blood plasma?

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1
Identify the components of the buffer system: carbonic acid (H_2CO_3) and bicarbonate ion (HCO_3^-).
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 base (HCO_3^-) and \([\text{HA}]\) is the concentration of the acid (H_2CO_3).
Substitute the given concentrations into the equation: \([\text{A}^-] = 0.024 \text{ M}\) and \([\text{HA}] = 0.0012 \text{ M}\).
Substitute the given \(\text{pK}_a\) value into the equation: \(\text{pK}_a = 6.1\).
Calculate the pH using the equation: \( \text{pH} = 6.1 + \log \left( \frac{0.024}{0.0012} \right) \).

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Key Concepts

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

Buffer Systems

Buffer systems are solutions that resist changes in pH upon the addition of small amounts of acid or base. In biological systems, buffers maintain the pH within a narrow range, which is crucial for proper physiological function. The bicarbonate buffer system, involving carbonic acid (H2CO3) and bicarbonate ion (HCO3-), is particularly important in regulating blood pH.
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Buffer Capacity

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 (bicarbonate) and [HA] is the concentration of the acid (carbonic acid). This equation is essential for calculating the pH of buffered solutions, such as blood plasma.
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Henderson-Hasselbalch Equation

pKa and Acid-Base Equilibrium

pKa is the negative logarithm of the acid dissociation constant (Ka) and indicates the strength of an acid in solution. A lower pKa value signifies a stronger acid that dissociates more readily. In the context of the bicarbonate buffer system, the pKa of carbonic acid (6.1) helps determine the pH of blood plasma by indicating the equilibrium between carbonic acid and bicarbonate ions.
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