Use the Henderson–Hasselbalch equation to calculate the pH of a buffer solution that is 0.25 M in formic acid (HCO2H) and 0.50 M in sodium formate (HCO2Na).

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First, understand that the Henderson-Hasselbalch equation is given by: pH = pKa + log([A-]/[HA]), where [A-] is the concentration of the base (in this case, sodium formate) and [HA] is the concentration of the acid (in this case, formic acid).

Next, look up the pKa of formic acid. This is a constant value that is specific to each acid and can be found in a chemistry reference book or online.

Then, substitute the given values into the Henderson-Hasselbalch equation. The pKa is the value you looked up, [A-] is the concentration of sodium formate (0.50 M), and [HA] is the concentration of formic acid (0.25 M).

Now, calculate the value of the log([A-]/[HA]) term. This is done by dividing the concentration of the base by the concentration of the acid and taking the logarithm (base 10) of the result.

Finally, add the pKa to the result from step 4 to find the pH of the buffer solution. This is the final step in using the Henderson-Hasselbalch equation to calculate the pH of a buffer solution.

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Key Concepts

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

Henderson-Hasselbalch Equation

The Henderson-Hasselbalch equation is a mathematical formula used to calculate the pH of a buffer solution. It is expressed as pH = pKa + log([A-]/[HA]), where pKa is the negative logarithm of the acid dissociation constant (Ka) of the weak acid, [A-] is the concentration of the conjugate base, and [HA] is the concentration of the weak acid. This equation highlights the relationship between the pH of a solution and the ratio of the concentrations of the acid and its conjugate base.

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, formic acid (HCO2H) acts as the weak acid, while sodium formate (HCO2Na) serves as its conjugate base. Buffers are crucial in biological and chemical systems where maintaining a stable pH is essential.

Acid-Base Equilibrium

Acid-base equilibrium refers to the balance between the concentrations of acids and bases in a solution. In the context of the Henderson-Hasselbalch equation, this equilibrium is represented by the dissociation of the weak acid into its ions. Understanding this equilibrium is vital for calculating pH, as it determines how the addition of acids or bases will affect the overall pH of the buffer solution.

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Calculate the pH of 0.375 L of a 0.18 M acetic acid–0.29 M sodium acetate buffer before and after the addition of (a) 0.0060 mol of KOH. Assume that the volume remains constant.

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Calculate the pH of 0.375 L of a 0.18 M acetic acid–0.29 M sodium acetate buffer before and after the addition of (b) 0.0060 mol of HBr. Assume that the volume remains constant.

Textbook Question

The ratio of HCO3- to H2CO3 in blood is called the 'bicarb number' and is used as a measure of blood pH in hospital emergency rooms. A newly diagnosed diabetic patient is admitted to the emergency room with ketoacidosis and a bicarb number of 10. Calculate the blood pH. Ka for carbonic acid at room temperature (37 degrees Celsius) os 7.9 x 10^-7).