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Calculate A The Ph of 0.10 M Hno3 Aq Solution

Reviewed by Calculator Editorial Team

This calculator helps you determine the pH of a 0.10 M HNO3 (nitric acid) aqueous solution. Nitric acid is a strong acid that completely dissociates in water, making it an ideal candidate for pH calculations.

Introduction

The pH of a solution is a measure of its acidity or alkalinity. It's calculated using the concentration of hydrogen ions (H⁺) in the solution. For strong acids like HNO3, the pH can be directly calculated from the concentration of the acid.

Nitric acid (HNO3) is a strong acid that completely dissociates in water according to the equation:

HNO₃(aq) → H⁺(aq) + NO₃⁻(aq)

This complete dissociation means that the concentration of H⁺ ions is equal to the concentration of HNO3 in the solution.

How to Calculate pH

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

pH = -log₁₀[H⁺]

For a strong acid like HNO3, the concentration of H⁺ ions is equal to the concentration of the acid. Therefore, for a 0.10 M HNO3 solution:

[H⁺] = 0.10 M pH = -log₁₀(0.10)

Using a calculator or logarithm tables, you can compute the pH value.

Example Calculation

Let's calculate the pH of a 0.10 M HNO3 solution step by step:

  1. Identify the concentration of H⁺ ions: [H⁺] = 0.10 M
  2. Take the negative logarithm (base 10) of the H⁺ concentration: pH = -log₁₀(0.10)
  3. Calculate the logarithm: log₁₀(0.10) ≈ -1.0000
  4. Take the negative of this value: pH ≈ 1.0000

Therefore, the pH of a 0.10 M HNO3 solution is approximately 1.00.

Note: The pH value is typically reported to two decimal places for precision.

Interpreting the Results

A pH of 1.00 indicates a very acidic solution. This is consistent with the properties of strong acids like HNO3. The pH scale ranges from 0 to 14, with values below 7 indicating acidity, 7 being neutral, and values above 7 indicating alkalinity.

Understanding the pH of a solution is crucial in various scientific and industrial applications, including:

  • Chemical manufacturing
  • Environmental monitoring
  • Food and beverage production
  • Water treatment

Frequently Asked Questions

What is the pH of a 0.10 M HNO3 solution?
The pH of a 0.10 M HNO3 solution is approximately 1.00.
Why does HNO3 completely dissociate in water?
HNO3 is a strong acid that completely dissociates into H⁺ and NO₃⁻ ions in aqueous solution.
How does the concentration of HNO3 affect the pH?
The pH decreases as the concentration of HNO3 increases, following the logarithmic relationship pH = -log₁₀[H⁺].
Can this calculator be used for other strong acids?
Yes, this calculator can be used for any strong acid where the concentration of H⁺ ions equals the concentration of the acid.