To solve for the [tex]$pH$[/tex] value of each liquid, we use the formula:
[tex]\[ pH = -\log \left[ H ^{+}\right] \][/tex]
where [tex]\([H^{+}]\)[/tex] is the hydrogen ion concentration.
### Step-by-step Solution:
1. Apple Juice:
- The hydrogen ion concentration of apple juice is [tex]\( [H^{+}] = 0.0003 \)[/tex].
- To find the [tex]$pH$[/tex], we take the negative logarithm of the hydrogen ion concentration:
[tex]\[ pH_{\text{apple}} = -\log(0.0003) \][/tex]
- This calculation yields:
[tex]\[ pH_{\text{apple}} \approx 3.5229 \][/tex]
2. Ammonia:
- The hydrogen ion concentration of ammonia is [tex]\( [H^{+}] = 1.3 \times 10^{-9} \)[/tex].
- To find the [tex]$pH$[/tex], we take the negative logarithm of the hydrogen ion concentration:
[tex]\[ pH_{\text{ammonia}} = -\log(1.3 \times 10^{-9}) \][/tex]
- This calculation yields:
[tex]\[ pH_{\text{ammonia}} \approx 8.8861 \][/tex]
Therefore, the [tex]$pH$[/tex] value of the apple juice is approximately 3.5229, and the [tex]$pH$[/tex] value of ammonia is approximately 8.8861.
The correct answer is:
The [tex]$pH$[/tex] value of the apple juice is [tex]\( \boxed{3.5229} \)[/tex]. The [tex]$pH$[/tex] value of ammonia is [tex]\( \boxed{8.8861} \)[/tex].
