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Calculate The Ph of A 0.10 M Solution of Naoh.

Reviewed by Calculator Editorial Team

Calculating the pH of a sodium hydroxide (NaOH) solution is essential in chemistry, environmental science, and industrial applications. This guide provides a step-by-step method to determine the pH of a 0.10 M NaOH solution, along with practical interpretation of the results.

How to Calculate the pH of NaOH Solution

To calculate the pH of a sodium hydroxide solution, follow these steps:

  1. Determine the molarity (M) of the NaOH solution.
  2. Calculate the hydroxide ion concentration ([OH⁻]) using the molarity.
  3. Convert the hydroxide ion concentration to pOH.
  4. Calculate the pH using the relationship between pH and pOH.

For a strong base like NaOH, the pH can be directly calculated from the molarity since it fully dissociates in water.

The pH Calculation Formula

The pH of a strong base solution can be calculated using the following formula:

pH = 14 - pOH pOH = -log[OH⁻] [OH⁻] = M (molarity of NaOH)

For a 0.10 M NaOH solution:

[OH⁻] = 0.10 M pOH = -log(0.10) ≈ 1.00 pH = 14 - 1.00 = 13.00

Note: This calculation assumes the solution is at 25°C and that NaOH is a strong base that fully dissociates in water.

Worked Example

Let's calculate the pH of a 0.10 M NaOH solution step by step.

  1. Given: Molarity of NaOH (M) = 0.10 M
  2. Since NaOH is a strong base, [OH⁻] = M = 0.10 M
  3. Calculate pOH: pOH = -log(0.10) ≈ 1.00
  4. Calculate pH: pH = 14 - pOH = 14 - 1.00 = 13.00

The pH of a 0.10 M NaOH solution is 13.00, indicating a strongly alkaline solution.

Interpreting the Results

The pH scale ranges from 0 to 14, where:

  • pH < 7: Acidic
  • pH = 7: Neutral
  • pH > 7: Alkaline (basic)

A pH of 13.00 indicates a very strong alkaline solution. This is typical for concentrated NaOH solutions and has important implications in chemical reactions, water treatment, and industrial processes.

Frequently Asked Questions

What is the pH of a 0.10 M NaOH solution?

The pH of a 0.10 M NaOH solution is approximately 13.00, indicating a strongly alkaline solution.

Does temperature affect the pH calculation of NaOH?

Yes, temperature affects the dissociation of NaOH. The formula provided assumes standard conditions (25°C). For other temperatures, you would need to account for the temperature dependence of the dissociation constant.

Why is NaOH considered a strong base?

NaOH is considered a strong base because it fully dissociates in water, releasing all hydroxide ions. This allows for a direct calculation of pH from the molarity.

What are practical applications of calculating NaOH pH?

Calculating NaOH pH is important in water treatment, chemical manufacturing, and environmental science to ensure proper neutralization and pH control in various processes.