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Calculate The Ph of The Following Solutions of Hno3

Reviewed by Calculator Editorial Team

Nitric acid (HNO3) is a strong acid that completely dissociates in water. Calculating its pH involves understanding the relationship between concentration and acidity. This guide provides a complete explanation of how to determine the pH of HNO3 solutions, including the formula, assumptions, and practical applications.

Introduction

The pH scale measures the acidity or alkalinity of a solution, ranging from 0 (very acidic) to 14 (very alkaline). For strong acids like HNO3, the pH can be directly calculated from the concentration of the acid.

Understanding how to calculate the pH of HNO3 solutions is essential in chemistry, environmental science, and industrial applications. This guide will walk you through the process step by step.

How to Calculate the pH of HNO3 Solutions

Calculating the pH of a nitric acid solution involves these key steps:

  1. Determine the concentration of HNO3 in moles per liter (M)
  2. Use the pH formula for strong acids
  3. Calculate the negative logarithm of the H+ ion concentration
  4. Interpret the resulting pH value

Since HNO3 is a strong acid, it completely dissociates in water, so the concentration of H+ ions equals the concentration of HNO3.

The pH Formula

pH Formula for Strong Acids

The pH of a strong acid solution is calculated using the formula:

pH = -log[H+]

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

For HNO3 solutions, [H+] equals the concentration of HNO3 because the acid fully dissociates.

Key Assumptions

  • The solution is at 25°C (room temperature)
  • The activity coefficient is 1 (ideal solution behavior)
  • The concentration is expressed in moles per liter (M)

Example Calculation

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

Example: 0.1 M HNO3 Solution

Given:

  • Concentration of HNO3 = 0.1 M
  • Since HNO3 is a strong acid, [H+] = 0.1 M

Calculation:

pH = -log[0.1]

pH = -(-1) = 1

Result: The pH of a 0.1 M HNO3 solution is 1, indicating a very acidic solution.

This example demonstrates how to apply the pH formula to a specific concentration of HNO3.

Frequently Asked Questions

What is the pH of a 0.01 M HNO3 solution?

The pH would be 2, calculated as pH = -log[0.01] = 2.

Can the pH of HNO3 solutions be calculated at different temperatures?

Yes, but the formula becomes more complex. The standard pH formula assumes 25°C. For other temperatures, you would need to account for temperature effects on dissociation.

What happens to the pH when the concentration of HNO3 increases?

The pH decreases because the concentration of H+ ions increases, making the solution more acidic.