Cal11 calculator
Search calculator...

Calculate Ph of 1.0 10 2 M Solution of Naoh

Reviewed by Calculator Editorial Team

This calculator helps you determine the pH of a 1.0 × 10^-2 M (0.01 M) solution of sodium hydroxide (NaOH). Sodium hydroxide is a strong base that completely dissociates in water, making it ideal for pH calculations.

Introduction

The pH scale measures how acidic or basic a solution is. It ranges from 0 to 14, where:

  • pH 7 is neutral (pure water)
  • pH values less than 7 are acidic
  • pH values greater than 7 are basic

For a strong base like NaOH, the pH can be calculated using the concentration of the hydroxide ions (OH⁻) produced when the base dissolves in water.

How to Calculate pH

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

  1. Determine the concentration of hydroxide ions (OH⁻) produced by the base
  2. Calculate the pOH using the hydroxide ion concentration
  3. Convert pOH to pH using the relationship between pH and pOH

Key Formulas

For a strong base:

[OH⁻] = [Base] = 1.0 × 10^-2 M

pOH = -log[OH⁻]

pH = 14 - pOH

For a 1.0 × 10^-2 M solution of NaOH:

  • The concentration of OH⁻ ions is equal to the concentration of NaOH (1.0 × 10^-2 M)
  • This is because NaOH completely dissociates in water

Example Calculation

Let's calculate the pH of a 1.0 × 10^-2 M NaOH solution step by step:

  1. Given: [NaOH] = 1.0 × 10^-2 M
  2. Since NaOH is a strong base, [OH⁻] = [NaOH] = 1.0 × 10^-2 M
  3. Calculate pOH: pOH = -log[OH⁻] = -log(1.0 × 10^-2) = 2
  4. Calculate pH: pH = 14 - pOH = 14 - 2 = 12

The pH of a 1.0 × 10^-2 M NaOH solution is 12, which indicates a strongly basic solution.

Interpreting the Results

A pH of 12 means the solution is:

  • Highly basic
  • Strongly alkaline
  • Capable of neutralizing acids

This solution would react strongly with acidic substances and would not be suitable for most biological systems that require near-neutral pH (around 7).

Note: The pH calculation assumes the solution is at 25°C and that NaOH is a strong base with complete dissociation. Actual solutions may deviate slightly due to temperature effects or impurities.

Frequently Asked Questions

Why is the pH of a 1.0 × 10^-2 M NaOH solution 12?

The pH is 12 because the concentration of hydroxide ions (OH⁻) is 1.0 × 10^-2 M, which gives a pOH of 2. Since pH = 14 - pOH, the pH is 12.

Is NaOH a strong or weak base?

NaOH is a strong base because it completely dissociates in water, producing equal numbers of Na⁺ and OH⁻ ions.

What happens if I dilute a 1.0 × 10^-2 M NaOH solution?

Diluting the solution would decrease the concentration of OH⁻ ions, resulting in a higher pH (more basic). For example, diluting to half the volume would make the concentration 5.0 × 10^-3 M, giving a pH of 13.

Can I use this calculation for other strong bases?

Yes, the same calculation method applies to other strong bases like KOH, Ba(OH)₂, and Sr(OH)₂, as they also completely dissociate in water.