Respuesta :
The number of times the hydrogen ion concentration of Aeen’s drink is the hydrogen ion concentration of Marien’s drink is 4 approx.
How to decide how many times some number is bigger?
The phrase "times bigger" shows this:
If a number 'x' is 't' times bigger than 'y', then that means:
[tex]x = t \times y[/tex]
It is because 'y' had to multiply itself with 't' to get in equal level of 'x'
How to find the hydrogen ion concentration from the pH value?
A solution with 'x' as its pH contains [tex]10^{-x} mol/L[/tex] of hydrogen ions.
For the considered case, we have:
- pH of beverage drank by Marien = 2.7,
Thus, its hydrogen ion concentration is [tex]10^{-2.7}[/tex] = x (say)
- pH of beverage drank by Aeen = 3.3,
Thus, its hydrogen ion concentration is [tex]10^{-3.3}[/tex] = y (say)
Then, let x is t times bigger than y, then that means:
[tex]x = t\times y\\\\t = \dfrac{x}{y} = \dfrac{10^{-2.7}}{10^{-3.3}} = 10^{-2.7 - (-3.3)} = 10^{-0.6} \approx 4[/tex]
It is because of the property [tex]a^b \times a^c = a^{b+c}[/tex]
Thus, hydrogen ion concentration of Marien's drink is approx 4 times the hydrogen ion concentration of Aeen's drink.
Learn more about hydrogen ion concentration here:
https://brainly.com/question/3072484
