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Calculate Ph of 0.1 M Nahco3

Reviewed by Calculator Editorial Team

Calculating the pH of a sodium bicarbonate (NaHCO3) solution is essential in chemistry, biology, and environmental science. This guide explains how to determine the pH of a 0.1 M NaHCO3 solution using the Henderson-Hasselbalch equation and provides a step-by-step calculation.

Introduction

Sodium bicarbonate (NaHCO3) is a weak base that dissociates in water to form bicarbonate ions (HCO3-) and hydrogen ions (H+). The pH of a NaHCO3 solution depends on its concentration and the equilibrium between the bicarbonate ion and carbonic acid (H2CO3).

The pH of a NaHCO3 solution can be calculated using the Henderson-Hasselbalch equation, which relates the pH of a buffer solution to the ratio of the concentrations of the conjugate acid and base.

How to Calculate pH of NaHCO3

The pH of a NaHCO3 solution can be calculated using the following steps:

  1. Determine the concentration of NaHCO3 in moles per liter (M).
  2. Use the Henderson-Hasselbalch equation to calculate the pH.
  3. Consider the dissociation constant (Ka) of NaHCO3.
pH = pKa + log([HCO3-]/[H2CO3])

Where:

  • pKa is the negative logarithm of the dissociation constant of carbonic acid (H2CO3).
  • [HCO3-] is the concentration of bicarbonate ions.
  • [H2CO3] is the concentration of carbonic acid.

The dissociation constant (Ka) of NaHCO3 is approximately 4.69 × 10-11 at 25°C.

Example Calculation

Let's calculate the pH of a 0.1 M NaHCO3 solution.

  1. First, determine the concentration of NaHCO3: 0.1 M.
  2. Since NaHCO3 dissociates completely in water, [HCO3-] = 0.1 M.
  3. Assume the concentration of H2CO3 is negligible compared to HCO3-.
  4. Using the Henderson-Hasselbalch equation:
pH = pKa + log([HCO3-]/[H2CO3]) pH = 6.35 + log(0.1/0.000000000001) pH ≈ 6.35 + log(100000000000) pH ≈ 6.35 + 11 pH ≈ 17.35

However, this result is unrealistic because it assumes no H2CO3 is present, which is not the case. A more accurate calculation would consider the equilibrium between HCO3- and H2CO3.

Note: The actual pH of a 0.1 M NaHCO3 solution is approximately 8.4 due to the equilibrium between HCO3- and H2CO3.

Interpreting the Results

The pH of a NaHCO3 solution is typically between 7 and 9, indicating a basic solution. The exact pH depends on the concentration of NaHCO3 and the temperature of the solution.

If the calculated pH is less than 7, the solution is acidic. If the pH is greater than 7, the solution is basic. A pH of 7 indicates a neutral solution.

It's important to note that the pH of a NaHCO3 solution can vary depending on the presence of other substances and the temperature of the solution.

FAQ

What is the pH of a 0.1 M NaHCO3 solution?
The pH of a 0.1 M NaHCO3 solution is approximately 8.4.
How does the concentration of NaHCO3 affect the pH?
The pH of a NaHCO3 solution increases as the concentration of NaHCO3 increases.
What is the dissociation constant of NaHCO3?
The dissociation constant (Ka) of NaHCO3 is approximately 4.69 × 10-11 at 25°C.
How does temperature affect the pH of a NaHCO3 solution?
The pH of a NaHCO3 solution decreases as the temperature increases.
What is the Henderson-Hasselbalch equation?
The Henderson-Hasselbalch equation relates the pH of a buffer solution to the ratio of the concentrations of the conjugate acid and base.