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Calculate Ph of 1.0 10 2 M Solution of Naoh

Reviewed by Calculator Editorial Team

This guide explains how to calculate the pH of a 1.0 × 10⁻² M sodium hydroxide (NaOH) solution using our precise calculator and step-by-step method.

Introduction

The pH of a solution is a measure of its acidity or alkalinity. For a sodium hydroxide (NaOH) solution, which is a strong base, the pH can be calculated using the concentration of the hydroxide ions (OH⁻).

In this guide, we'll calculate the pH of a 1.0 × 10⁻² M NaOH solution, which means the concentration of NaOH is 0.01 moles per liter.

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⁻) in moles per liter (M).
  2. Calculate the pOH using the formula: pOH = -log[OH⁻].
  3. Calculate the pH using the relationship: pH = 14 - pOH.

Formula: pH = 14 + log[NaOH]

For a strong base like NaOH, [OH⁻] ≈ [NaOH]

This formula works because NaOH completely dissociates in water, producing equal amounts of Na⁺ and OH⁻ ions.

Example Calculation

Let's calculate the pH of a 1.0 × 10⁻² M NaOH solution:

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

Therefore, the pH of a 1.0 × 10⁻² M NaOH solution is 12.

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

Interpreting Results

The pH scale ranges from 0 to 14:

  • pH 0-6: Acidic
  • pH 7: Neutral
  • pH 8-14: Alkaline

A pH of 12 indicates a strongly alkaline solution, which is typical for concentrated NaOH solutions.

In practical terms, this means the solution would feel slippery, would turn red litmus paper blue, and would react strongly with acids.

FAQ

What is the pH of a 1.0 × 10⁻² M NaOH solution?
The pH is 12, indicating a strongly alkaline solution.
How does the concentration of NaOH affect the pH?
For a strong base like NaOH, the pH increases as the concentration increases, following the formula pH = 14 + log[NaOH].
Is the pH of a NaOH solution always greater than 7?
Yes, because NaOH is a strong base that produces hydroxide ions, making the solution alkaline.