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4 Calculate The Ph of A 0.0010 M Naoh Solution

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 explains how to determine the pH of a 0.0010 M NaOH solution using our calculator and provides a step-by-step explanation of the process.

Introduction

The pH scale measures how acidic or basic a solution is, ranging from 0 (very acidic) to 14 (very basic). A pH of 7 is neutral. Sodium hydroxide (NaOH) is a strong base that dissociates completely in water, making it ideal for pH calculations.

When NaOH dissolves in water, it forms hydroxide ions (OH⁻), which increase the concentration of OH⁻ in the solution. The pH of a solution can be calculated using the concentration of hydroxide ions.

How to Calculate pH

The pH of a solution is calculated using the following formula:

pH Formula

pH = -log₁₀[OH⁻]

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

For a strong base like NaOH, the concentration of hydroxide ions is equal to the concentration of the base. Therefore, for a 0.0010 M NaOH solution:

Calculation Steps

  1. Determine the concentration of hydroxide ions: [OH⁻] = [NaOH] = 0.0010 M
  2. Calculate the pH using the formula: pH = -log₁₀(0.0010)
  3. Compute the logarithm: log₁₀(0.0010) = -3
  4. Multiply by -1 to get the pH: pH = -(-3) = 13

The result shows that a 0.0010 M NaOH solution has a pH of 13, indicating it is strongly basic.

Example Calculation

Let's walk through an example calculation for a 0.0010 M NaOH solution:

Example Worked Out

Given: [NaOH] = 0.0010 M

Since NaOH is a strong base, [OH⁻] = [NaOH] = 0.0010 M

pH = -log₁₀(0.0010) = -(-3) = 13

Therefore, the pH of the solution is 13.

This example demonstrates how to apply the pH formula to a specific concentration of NaOH.

Interpreting Results

A pH of 13 indicates a very basic solution. This means the solution has a high concentration of hydroxide ions, which can react with acidic substances. Understanding the pH of a NaOH solution is crucial in various applications, including:

  • Chemical synthesis
  • Water treatment
  • Environmental monitoring
  • Industrial processes

Always handle NaOH solutions with care due to their corrosive nature and potential to cause skin and eye irritation.

FAQ

What is the pH of a 0.0010 M NaOH solution?

The pH of a 0.0010 M NaOH solution is 13, indicating it is strongly basic.

How do you calculate the pH of a NaOH solution?

Use the formula pH = -log₁₀[OH⁻], where [OH⁻] is equal to the concentration of NaOH for strong bases.

Why is a 0.0010 M NaOH solution basic?

Because NaOH dissociates completely in water, forming hydroxide ions that raise the pH above 7.

Can I use this calculator for other strong bases?

Yes, the same principles apply to other strong bases like KOH and Ca(OH)₂.