# The pH Calculation of Apple Juice and Ammonia

## How can we calculate the pH of apple juice and ammonia based on the given data?

What is the pH of the apple juice and what is the pH of ammonia?

## Calculation of pH for Apple Juice:

The pH of the apple juice is approximately 3.52. This can be calculated using the formula pH = -log[H₃O⁺]. Since the hydrogen ion concentration of the apple juice is 0.0003, we can find the hydronium ion concentration as follows:

## Calculation of pH for Ammonia:

The pH of ammonia is approximately 11.13. Since ammonia is a base, we need to calculate the hydronium ion concentration first. By using the base dissociation constant (Kb = 1.8 x 10⁻⁵), we can find the concentration of hydroxide ions. Then, we can use the formula for pH to calculate the pH of ammonia.

The pH of a substance is a measure of how acidic or basic it is. In the case of apple juice and ammonia, the pH values provide insight into the concentration of hydronium ions (H₃O⁺) in the solutions.

## Calculation of pH for Apple Juice:

Given that the hydrogen ion concentration of the apple juice is 0.0003, we can calculate the hydronium ion concentration as follows:

[H₃O⁺] = 10^(-pH)

0.0003 = 10^(-pH)

-pH = ㏒(0.0003)

pH = -㏒(0.0003)

Therefore, the pH of apple juice is roughly 3.52.

## Calculation of pH for Ammonia:

Ammonia is a base and reacts with water to produce hydroxide ions (OH⁻). By using the base dissociation constant (Kb = 1.8 x 10⁻⁵), we can calculate the concentration of hydroxide ions:

Kb = [NH4⁺][OH⁻] / [NH₃]

1.8 x 10⁻⁵ = x² / 0.05

x = 1.34 x 10⁻³

Therefore, the concentration of hydroxide ions is 1.34 x 10⁻³ M. Using the formula for pH, we can calculate the pH of ammonia:

pOH = -㏒[OH⁻] = -㏒(1.34 x 10⁻³) = 2.87

pH = 14 - pOH = 14 - 2.87 = 11.13

As a result, the pH of ammonia is about 11.13.

These calculations show the relationship between hydrogen ion concentration, hydronium ion concentration, and pH value in different substances, such as apple juice and ammonia.