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Calculate Ph 0.1 M Naoh

Reviewed by Calculator Editorial Team

Sodium hydroxide (NaOH) is a strong base that completely dissociates in water. When dissolved in water, it forms hydroxide ions (OH⁻), which determine the pH of the solution. This calculator helps you determine the pH of a 0.1 molar NaOH solution using the standard pH calculation formula for strong bases.

Introduction

The pH of a solution is a measure of its acidity or basicity. For strong bases like sodium hydroxide (NaOH), the pH can be calculated directly from the concentration of hydroxide ions. A 0.1 molar (0.1 M) NaOH solution means there are 0.1 moles of NaOH per liter of solution.

When NaOH dissolves in water, it completely dissociates into sodium ions (Na⁺) and hydroxide ions (OH⁻). The concentration of hydroxide ions is equal to the concentration of NaOH because the dissociation is complete. This makes the pH calculation straightforward.

How to Calculate pH of 0.1 M NaOH

To calculate the pH of a 0.1 M NaOH solution, follow these steps:

  1. Determine the concentration of hydroxide ions (OH⁻). For a 0.1 M NaOH solution, [OH⁻] = 0.1 M.
  2. Use the pOH formula: pOH = -log[OH⁻].
  3. Calculate pOH using the concentration of hydroxide ions.
  4. Use the relationship between pH and pOH: pH = 14 - pOH.

The result will be the pH of the solution. For a 0.1 M NaOH solution, the pH is 13.00.

Formula

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

pH = 14 + log[OH⁻]

Where:

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

For a 0.1 M NaOH solution:

pH = 14 + log(0.1) = 14 - 1 = 13.00

Worked Example

Let's calculate the pH of a 0.1 M NaOH solution step by step.

  1. Given: [NaOH] = 0.1 M. Since NaOH is a strong base, [OH⁻] = [NaOH] = 0.1 M.
  2. Calculate pOH: pOH = -log[OH⁻] = -log(0.1) = 1.
  3. Calculate pH: pH = 14 - pOH = 14 - 1 = 13.00.

The pH of a 0.1 M NaOH solution is 13.00, which is strongly basic.

FAQ

What is the pH of a 0.1 M NaOH solution?
The pH of a 0.1 M NaOH solution is 13.00. This is calculated using the formula pH = 14 + log[OH⁻], where [OH⁻] is the concentration of hydroxide ions, which equals the concentration of NaOH for strong bases.
Why is the pH of a 0.1 M NaOH solution 13.00?
The pH is 13.00 because the concentration of hydroxide ions is 0.1 M. Using the formula pH = 14 + log(0.1), we get pH = 13.00. This indicates a strongly basic solution.
Can I use this calculator for other concentrations of NaOH?
Yes, you can use this calculator for any concentration of NaOH. Simply enter the molar concentration in the calculator, and it will compute the pH for you.
What happens if I dilute a 0.1 M NaOH solution?
When you dilute a 0.1 M NaOH solution, the concentration of hydroxide ions decreases, and the pH increases. For example, diluting to 0.01 M NaOH would result in a pH of 13.00 + log(0.01/0.1) = 13.00 + 1 = 14.00.
Is NaOH a strong or weak base?
NaOH is a strong base because it completely dissociates in water, releasing all its hydroxide ions. This allows for straightforward pH calculations using the concentration of hydroxide ions.