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Calculate Ph of 0.001 M Naoh

Reviewed by Calculator Editorial Team

Sodium hydroxide (NaOH) is a strong base that completely dissociates in water to produce hydroxide ions (OH⁻). This calculator helps you determine the pH of a 0.001 molar (M) solution of NaOH using the standard pH calculation formula for strong bases.

Introduction

The pH of a solution is a measure of its acidity or alkalinity, defined as the negative logarithm (base 10) of the hydrogen ion concentration ([H⁺]). For strong bases like NaOH, the pH can be calculated directly from the concentration of the base.

When NaOH dissolves in water, it completely dissociates according to the equation:

NaOH → Na⁺ + OH⁻

This means that every mole of NaOH that dissolves produces one mole of hydroxide ions (OH⁻). The concentration of hydroxide ions is equal to the concentration of NaOH in the solution.

How to Calculate pH

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

pH = 14 + log10([OH⁻])

Where:

  • [OH⁻] is the concentration of hydroxide ions in moles per liter (M)
  • log10 is the base-10 logarithm

For a 0.001 M NaOH solution:

  1. Determine the concentration of hydroxide ions: [OH⁻] = 0.001 M
  2. Calculate the logarithm of the hydroxide ion concentration: log10(0.001) = -3
  3. Add 14 to the logarithm: pH = 14 + (-3) = 11

Example Calculation

Let's calculate the pH of a 0.001 M NaOH solution step by step:

  1. Given: [NaOH] = 0.001 M
  2. Since NaOH is a strong base, [OH⁻] = [NaOH] = 0.001 M
  3. Calculate log10(0.001) = -3
  4. Apply the pH formula: pH = 14 + (-3) = 11

The pH of a 0.001 M NaOH solution is 11.

Note: The pH of a strong base solution is always greater than 7, indicating an alkaline solution.

Interpreting Results

A pH of 11 indicates a strongly alkaline solution. This means:

  • The solution contains a high concentration of hydroxide ions (OH⁻)
  • It will react strongly with acids
  • It may cause skin and eye irritation
  • It can corrode metals

When working with NaOH solutions, always handle them with care and wear appropriate protective equipment.

FAQ

What is the pH of a 0.001 M NaOH solution?

The pH of a 0.001 M NaOH solution is 11.

Why is the pH of a strong base solution greater than 7?

A strong base solution has a high concentration of hydroxide ions (OH⁻), which react with water to produce more OH⁻ ions, making the solution alkaline with a pH greater than 7.

How does the concentration of NaOH affect the pH?

For a strong base like NaOH, the pH increases as the concentration of NaOH increases. Doubling the concentration will increase the pH by 1 unit.

Is NaOH a strong or weak base?

NaOH is a strong base because it completely dissociates in water to produce hydroxide ions (OH⁻).