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Calculate Ph of 0.1 M Naoh

Reviewed by Calculator Editorial Team

This calculator helps you determine the pH of a 0.1 Molar (M) sodium hydroxide (NaOH) solution. Sodium hydroxide is a strong base that completely dissociates in water, making it ideal for pH calculations.

Introduction

The pH of a solution is a measure of its acidity or alkalinity. For a strong base like NaOH, the pH can be calculated directly from the concentration using the formula:

pH Calculation Formula

pH = -log10[OH⁻]

Where [OH⁻] is the concentration of hydroxide ions in Molar (M).

Since NaOH is a strong base, the concentration of hydroxide ions ([OH⁻]) is equal to the concentration of NaOH in the solution. For a 0.1 M NaOH solution, [OH⁻] = 0.1 M.

Calculation Method

To calculate the pH of a 0.1 M NaOH solution:

  1. Identify the concentration of NaOH in Molar (M). In this case, it's 0.1 M.
  2. Since NaOH is a strong base, [OH⁻] = [NaOH] = 0.1 M.
  3. Apply the pH formula: pH = -log10(0.1).
  4. Calculate the logarithm: log10(0.1) = -1.
  5. Multiply by -1 to get the pH: pH = -(-1) = 13.

Important Notes

  • This calculation assumes the solution is at standard temperature (25°C).
  • The pH of a strong base solution is always greater than 7.
  • For very dilute solutions, the pH may approach 14.

Example Calculation

Let's calculate the pH of a 0.1 M NaOH solution step by step:

  1. Given: [NaOH] = 0.1 M
  2. Since NaOH is a strong base: [OH⁻] = 0.1 M
  3. pH = -log10(0.1)
  4. log10(0.1) = -1
  5. Therefore, pH = -(-1) = 13

The calculation shows that a 0.1 M NaOH solution has a pH of 13, indicating it is strongly alkaline.

Interpretation

A pH of 13 for a 0.1 M NaOH solution means:

  • The solution is highly alkaline.
  • It will react strongly with acids.
  • It has a high concentration of hydroxide ions (OH⁻).
  • It will turn red litmus paper blue.

This level of alkalinity is typical for strong base solutions and is commonly used in laboratory settings and industrial applications.

FAQ

What is the pH of a 0.1 M NaOH solution?
The pH of a 0.1 M NaOH solution is 13. This is calculated using the formula pH = -log10[OH⁻], where [OH⁻] is equal to the concentration of NaOH since it's a strong base.
Why is the pH of NaOH solutions always greater than 7?
NaOH is a strong base that completely dissociates in water, producing hydroxide ions (OH⁻). The presence of these ions makes the solution alkaline, resulting in a pH greater than 7.
Does temperature affect the pH calculation for NaOH?
The pH calculation assumes standard temperature (25°C). At different temperatures, the dissociation of NaOH may change slightly, but for most practical purposes, the pH remains approximately 13 for 0.1 M NaOH.
Can I use this calculator for other strong base concentrations?
Yes, you can use the same method to calculate the pH of any strong base solution by entering the concentration in the calculator.
What happens if I dilute a 0.1 M NaOH solution?
Diluting the solution will decrease the concentration of NaOH and OH⁻, which will increase the pH (make it less alkaline). The pH will increase according to the formula pH = -log10[OH⁻].