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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].

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



Answer :

To find the pH values of the given liquids, we use the formula [tex]\( \text{pH} = -\log \left[ H^+ \right] \)[/tex], where [tex]\( \left[ H^+ \right] \)[/tex] represents the hydrogen ion concentration.

1. Calculating the pH of Apple Juice:
- The hydrogen ion concentration ([tex]\( \left[ H^+ \right] \)[/tex]) of apple juice is 0.0003.
- Applying the formula, we get [tex]\( \text{pH}_{\text{apple juice}} = -\log(0.0003) \)[/tex].
- Calculating this value results in a pH of approximately 3.52.

2. Calculating the pH of Ammonia:
- The hydrogen ion concentration ([tex]\( \left[ H^+ \right] \)[/tex]) of ammonia is [tex]\( 1.3 \times 10^{-9} \)[/tex].
- Applying the formula, we get [tex]\( \text{pH}_{\text{ammonia}} = -\log(1.3 \times 10^{-9}) \)[/tex].
- Calculating this value results in a pH of approximately 8.89.

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