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Tests show that the hydrogen ion concentration of a sample of apple juice is 0.0003 and that of ammonia is [tex]$1.3 \times 10^{-9}$[/tex]. Find the pH of each liquid using the formula [tex]$pH = -\log \left| H_3O^{+} \right|$[/tex], where [tex][tex]$H_3O^{+}$[/tex][/tex] is the hydronium ion concentration.

The [tex]$pH$[/tex] value of the apple juice is [tex]\square[/tex]. The [tex]$pH$[/tex] value of ammonia is [tex]\square[/tex].

Sagot :

GinnyAnswer
Alright, let's approach this step by step.

The given formula to find the pH is:
[tex]\[ pH = -\log \left| H_3O^+ \right| \][/tex]

### For Apple Juice:
1. Hydronium Ion Concentration for Apple Juice:
[tex]\[ [H_3O^+] = 0.0003 \][/tex]

2. Calculate the pH:
[tex]\[ pH = -\log(0.0003) \][/tex]

Using the result from calculations, the pH value of the apple juice is approximately:
[tex]\[ \text{pH} \approx 3.5228787452803374 \][/tex]

### For Ammonia:
1. Hydronium Ion Concentration for Ammonia:
[tex]\[ [H_3O^+] = 1.3 \times 10^{-9} \][/tex]

2. Calculate the pH:
[tex]\[ pH = -\log(1.3 \times 10^{-9}) \][/tex]

Using the result from calculations, the pH value of the ammonia is approximately:
[tex]\[ \text{pH} \approx 8.886056647693163 \][/tex]

### Conclusion:
The pH value of the apple juice is 3.52 (rounded to two decimal places).
The pH value of ammonia is 8.89 (rounded to two decimal places).

When selecting the correct answers, it should look like this:

The pH value of the apple juice is 3.52. The pH value of ammonia is 8.89.
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