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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]\( \text{pH} = -\log \left[ H_3O^+ \right] \)[/tex], where [tex]\([H_3O^+]\)[/tex] is the hydronium ion concentration.

The pH value of the apple juice is [tex]\(\square\)[/tex].

The pH value of ammonia is [tex]\(\square\)[/tex].



Answer :

GinnyAnswer
To determine the pH values of apple juice and ammonia using the given formula [tex]\( \text{pH} = -\log \left[ H _3 O ^{+} \right] \)[/tex], we'll go through the following steps for each liquid.

### Apple Juice
1. Identify the hydronium ion concentration: The hydronium ion concentration for the apple juice sample is [tex]\( [H_3O^+] = 0.0003 \)[/tex].

2. Apply the pH formula:
[tex]\[ \text{pH} = -\log \left[ 0.0003 \right] \][/tex]

3. Calculate the pH:
[tex]\[ \text{pH} = 3.5228787452803374 \][/tex]

### Ammonia
1. Identify the hydronium ion concentration: The hydronium ion concentration for the ammonia sample is [tex]\( [H_3O^+] = 1.3 \times 10^{-9} \)[/tex].

2. Apply the pH formula:
[tex]\[ \text{pH} = -\log \left[ 1.3 \times 10^{-9} \right] \][/tex]

3. Calculate the pH:
[tex]\[ \text{pH} = 8.886056647693163 \][/tex]

### Conclusion
Based on our calculations:
- The pH value of apple juice is 3.52.
- The pH value of ammonia is 8.89.

These steps lead us to the final values for each liquid.