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Calculate Ph of 0.1m Hno3

Reviewed by Calculator Editorial Team

Nitric acid (HNO3) is a strong acid that completely dissociates in water. This calculator determines the pH of a 0.1 molar (M) HNO3 solution using the standard pH calculation formula for strong acids.

Introduction

The pH of a solution measures its acidity or alkalinity on a scale from 0 to 14. For strong acids like HNO3, the pH can be calculated directly from the concentration using the formula:

pH = -log₁₀[H⁺]

Where [H⁺] is the concentration of hydrogen ions in moles per liter (M). For a 0.1M HNO3 solution, [H⁺] equals the concentration because HNO3 is a strong acid that fully dissociates.

How to Calculate pH

Step 1: Determine the concentration

For a 0.1M HNO3 solution, the concentration [H⁺] is 0.1 M.

Step 2: Apply the pH formula

Using the formula pH = -log₁₀[H⁺], substitute the concentration:

pH = -log₁₀(0.1)

Step 3: Calculate the logarithm

The logarithm of 0.1 is -1 (since 10⁻¹ = 0.1).

Step 4: Apply the negative sign

Multiply the logarithm result by -1 to get the pH:

pH = -(-1) = 1

Example Calculation

Let's calculate the pH of a 0.1M HNO3 solution step-by-step:

  1. Identify the concentration: [H⁺] = 0.1 M
  2. Apply the formula: pH = -log₁₀(0.1)
  3. Calculate the logarithm: log₁₀(0.1) = -1
  4. Apply the negative sign: pH = -(-1) = 1

The pH of a 0.1M HNO3 solution is 1, which is strongly acidic.

Interpreting Results

A pH of 1 indicates a very strong acid. This means the solution has a high concentration of hydrogen ions and will react strongly with bases. The pH scale is logarithmic, so each whole number change represents a tenfold difference in acidity.

Note: For very dilute solutions (concentrations less than 0.0001 M), the pH calculation becomes less precise due to the limitations of the logarithmic scale.

Frequently Asked Questions

What is the pH of a 0.1M HNO3 solution?
The pH of a 0.1M HNO3 solution is 1, calculated using the formula pH = -log₁₀[H⁺].
Is HNO3 a strong or weak acid?
HNO3 is a strong acid that completely dissociates in water, so its pH can be calculated directly from its concentration.
How does the concentration affect the pH?
For strong acids, a higher concentration results in a lower pH. For example, a 1M HNO3 solution would have a pH of 0.
Can I use this calculator for other strong acids?
Yes, this calculator works for any strong acid where the concentration is known and the acid fully dissociates in water.
What if the concentration is less than 0.0001 M?
The pH calculation becomes less precise for very dilute solutions due to the logarithmic scale's limitations.