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Calculate A The Ph of 0.10 M Hno3 Aq Solution

Reviewed by Calculator Editorial Team

This guide explains how to calculate the pH of a 0.10 M HNO3 aqueous solution. Nitric acid (HNO3) is a strong acid that completely dissociates in water, making it straightforward to calculate its pH using the concentration of hydronium ions.

Introduction

The pH of a solution is a measure of its acidity or basicity. It's calculated using the concentration of hydronium ions (H3O+) in the solution. For strong acids like HNO3, the pH can be determined directly from the acid's concentration.

HNO3 is a strong acid, meaning it completely dissociates in water according to the equation:

HNO3 (aq) → H+ (aq) + NO3- (aq)

This complete dissociation means the concentration of H+ ions equals the concentration of HNO3.

How to Calculate pH for HNO3

To calculate the pH of a HNO3 solution:

  1. Determine the molarity (M) of the HNO3 solution
  2. Calculate the concentration of H+ ions (same as HNO3 concentration for strong acids)
  3. Use the pH formula: pH = -log[H+]

The formula used is:

pH = -log[H+]

Where [H+] is the concentration of hydrogen ions in moles per liter (M).

For strong acids, the concentration of H+ ions is equal to the concentration of the acid because the acid fully dissociates in water.

Example Calculation

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

  1. Given: [HNO3] = 0.10 M
  2. Since HNO3 is a strong acid, [H+] = [HNO3] = 0.10 M
  3. Calculate pH: pH = -log(0.10)
  4. pH = -(-1) = 1.00

The pH of a 0.10 M HNO3 solution is 1.00, indicating a very acidic solution.

Interpreting the Results

The pH scale ranges from 0 to 14, where:

  • pH < 7: Acidic solution
  • pH = 7: Neutral solution
  • pH > 7: Basic solution

A pH of 1.00 indicates a highly acidic solution, which is expected for strong acids like HNO3.

In practical terms, a pH of 1.00 means:

  • The solution is highly corrosive
  • It can react strongly with bases
  • It would turn blue litmus paper red

FAQ

Why does HNO3 have a pH of 1.00 in a 0.10 M solution?

HNO3 is a strong acid that completely dissociates in water, so the concentration of H+ ions equals the concentration of HNO3. The pH is calculated as -log(0.10), which equals 1.00.

Can I use this calculator for other strong acids?

Yes, this method works for any strong acid where the concentration of H+ ions equals the concentration of the acid. The calculator can be used for HCl, H2SO4, and other strong acids.

What happens if I dilute the HNO3 solution?

Diluting the solution decreases the concentration of H+ ions, which increases the pH. For example, a 0.01 M HNO3 solution would have a pH of 2.00.