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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 approximate pH of each liquid using the formula [tex]$pH =-\log \left[ H ^{+}\right]$[/tex], where [tex][tex]$\left[ H ^{+}\right]$[/tex][/tex] is the hydrogen 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 solve the problem of finding the pH values for apple juice and ammonia, we will use the formula:

[tex]\[ \text{pH} = -\log \left[ H^+ \right] \][/tex]

where [tex]\(\left[ H^+ \right]\)[/tex] is the hydrogen ion concentration.

### Step-by-Step Solution

1. Determine the hydrogen ion concentration for each substance:
- Apple juice: [tex]\(\left[ H^+ \right] = 0.0003\)[/tex]
- Ammonia: [tex]\(\left[ H^+ \right] = 1.3 \times 10^{-9}\)[/tex]

2. Calculate the pH value for apple juice:
- Use the formula: [tex]\(\text{pH} = -\log(0.0003)\)[/tex]
- From our calculations, the pH value for apple juice is approximately 3.52.

3. Calculate the pH value for ammonia:
- Use the formula: [tex]\(\text{pH} = -\log(1.3 \times 10^{-9})\)[/tex]
- From our calculations, the pH value for ammonia is approximately 8.89.

So, the pH values are:

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