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Calculate The Ph of The Following Solutions 0.12 M Hno3

Reviewed by Calculator Editorial Team

This calculator helps you determine the pH of a 0.12 M HNO3 (nitric acid) solution. Nitric acid is a strong acid that completely dissociates in water, making it ideal for pH calculations. The pH scale ranges from 0 to 14, where values below 7 are acidic, 7 is neutral, and above 7 are basic.

How to Calculate pH

The pH of a solution is calculated using the concentration of hydrogen ions (H⁺) in the solution. For strong acids like HNO3, the concentration of H⁺ is equal to the concentration of the acid. The pH formula is:

pH = -log₁₀[H⁺]

Where [H⁺] is the concentration of hydrogen ions in moles per liter (M). For a 0.12 M HNO3 solution:

  1. Determine the concentration of H⁺ ions: [H⁺] = 0.12 M
  2. Take the negative logarithm (base 10) of the H⁺ concentration
  3. The result is the pH of the solution

This calculation assumes the solution is dilute and the activity coefficient is 1. For more concentrated solutions, activity corrections may be needed.

pH Formula

The pH formula is derived from the definition of pH as the negative logarithm of the hydrogen ion concentration:

pH = -log₁₀[H⁺]

For strong acids like HNO3, the concentration of H⁺ is equal to the concentration of the acid. Therefore, for a solution with concentration C (in M):

pH = -log₁₀(C)

This formula is valid for strong acids that completely dissociate in water. For weak acids, a different approach using the acid dissociation constant (Ka) would be required.

Example Calculation

Let's calculate the pH of a 0.12 M HNO3 solution step by step:

  1. Identify the concentration of H⁺ ions: [H⁺] = 0.12 M
  2. Take the negative logarithm (base 10) of 0.12:
    pH = -log₁₀(0.12) ≈ 0.924
  3. Round to two decimal places: pH ≈ 0.92

This means the 0.12 M HNO3 solution has a pH of approximately 0.92, which is strongly acidic.

Note: The pH scale is logarithmic, so small changes in concentration result in large changes in pH. A 0.1 M solution would have a pH of 1, while a 0.01 M solution would have a pH of 2.

Interpreting pH Results

The pH of a 0.12 M HNO3 solution is approximately 0.92. Here's what this means:

  • The solution is strongly acidic, with a high concentration of H⁺ ions
  • It will react strongly with bases and metals
  • It may cause skin and eye irritation
  • It will turn blue litmus paper red

For comparison, common household products have pH values:

Substance pH Range
Battery acid 0-1
Stomach acid 1-3
Lemon juice 2-3
Pure water 7
Soap 9-10

Always handle strong acids like HNO3 with caution, using appropriate protective equipment.

Frequently Asked Questions

What is the pH of a 0.12 M HNO3 solution?

The pH of a 0.12 M HNO3 solution is approximately 0.92. This is calculated using the formula pH = -log₁₀[H⁺], where [H⁺] is equal to the concentration of the strong acid.

How do I calculate the pH of a strong acid solution?

For strong acids like HNO3, you can use the simple formula pH = -log₁₀(C), where C is the concentration of the acid in moles per liter. This works because strong acids completely dissociate in water.

What is the difference between pH and pOH?

pH measures the concentration of hydrogen ions (H⁺), while pOH measures the concentration of hydroxide ions (OH⁻). In water, pH and pOH are related by the equation pH + pOH = 14 at 25°C.

Is HNO3 a strong or weak acid?

HNO3 is a strong acid because it completely dissociates in water to produce H⁺ ions. This makes it ideal for pH calculations using the simple formula pH = -log₁₀[H⁺].

What safety precautions should I take when handling HNO3 solutions?

HNO3 is a corrosive and toxic substance. Always handle it in a well-ventilated area, using appropriate protective equipment including gloves, goggles, and a lab coat. Never mix with other chemicals without proper precautions.