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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]\left[ H ^{+}\right][/tex] is the hydrogen ion concentration.
The pH value of the apple juice is [tex]$\square$[/tex].
To find the pH value of each liquid using the given formula [tex]\( pH = -\log[H^+] \)[/tex], let's follow these steps:
1. Identify the hydrogen ion concentrations: - For apple juice: [tex]\( [H^+] = 0.0003 \)[/tex] - For ammonia: [tex]\( [H^+] = 1.3 \times 10^{-9} \)[/tex]
2. Calculate the pH of apple juice: - Using the formula [tex]\( pH = -\log[H^+] \)[/tex], we substitute the concentration of hydrogen ions in apple juice. - [tex]\( pH_{apple\_juice} = -\log(0.0003) \)[/tex] - The pH value of apple juice is approximately [tex]\( 3.52 \)[/tex].
3. Calculate the pH of ammonia: - Similarly, for ammonia, we use the hydrogen ion concentration. - [tex]\( pH_{ammonia} = -\log(1.3 \times 10^{-9}) \)[/tex] - The pH value of ammonia is approximately [tex]\( 8.89 \)[/tex].
Therefore:
- The pH value of the apple juice is 3.52. - The pH value of ammonia is 8.89.
