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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 and laboratory work. This guide explains how to determine the pH of a 0.0010 M NaOH solution using the pH formula for strong bases.

Introduction

The pH of a solution measures its acidity or alkalinity. For strong bases like sodium hydroxide (NaOH), the pH can be calculated using the concentration of the hydroxide ions (OH⁻).

In this guide, we'll calculate the pH of a 0.0010 M NaOH solution. This concentration is very dilute, which means the solution is highly alkaline.

Formula

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

pH = 14 + log[OH⁻]

Where:

  • pH is the measure of acidity or alkalinity
  • [OH⁻] is the concentration of hydroxide ions in moles per liter (M)

For strong bases, the concentration of hydroxide ions is equal to the concentration of the base itself.

Calculation

To calculate the pH of a 0.0010 M NaOH solution:

  1. Identify the concentration of hydroxide ions: [OH⁻] = 0.0010 M
  2. Take the logarithm (base 10) of the hydroxide ion concentration: log[OH⁻] = log(0.0010)
  3. Add 14 to the logarithm: pH = 14 + log(0.0010)

The result is the pH of the solution.

Example

Let's calculate the pH of a 0.0010 M NaOH solution step by step.

  1. Given: [NaOH] = 0.0010 M
  2. Since NaOH is a strong base, [OH⁻] = [NaOH] = 0.0010 M
  3. Calculate log(0.0010): log(0.0010) ≈ -3.0000
  4. Add 14 to the logarithm: pH = 14 + (-3.0000) = 11.0000

The pH of a 0.0010 M NaOH solution is 11.00.

This solution is highly alkaline because its pH is greater than 7. The higher the pH, the more alkaline the solution.

FAQ

What is the pH of a 0.0010 M NaOH solution?
The pH of a 0.0010 M NaOH solution is approximately 11.00.
Why is the pH of a strong base solution calculated differently from weak bases?
Strong bases completely dissociate in water, so the concentration of hydroxide ions is equal to the concentration of the base. Weak bases do not dissociate completely, so their hydroxide ion concentration is less than the base concentration.
What does a pH of 11.00 indicate about the solution?
A pH of 11.00 indicates that the solution is highly alkaline. It is much more basic than neutral (pH 7) and less acidic than solutions with pH values below 7.
Can the pH of a NaOH solution be calculated using the pOH formula?
Yes, you can use the pOH formula (pOH = -log[OH⁻]) and then calculate pH as pH = 14 - pOH. However, the direct formula (pH = 14 + log[OH⁻]) is more straightforward for strong bases.
What factors can affect the pH of a NaOH solution?
Factors such as temperature, the presence of other chemicals, and dilution can affect the pH of a NaOH solution. However, for a pure 0.0010 M NaOH solution at room temperature, the pH is consistently 11.00.