Question

Aeen is drinking a beverage that has a pH of 3.3. Marien is drinking a beverage that has a pH of 2.7. About how many time the hydrogen ion concentration of Aeen’s drink is the hydrogen ion concentration of Marien’s drink? Round to nearest whole number.

Answer 1

The pH value of a solution is a logarithmic function of the hydronium ion concentration in the solution. Since we are given the pH foe both we can easily calculate the H+ ion concentration as follows:

Aeen
3.3 = -log (H+)
H+ = 0.04 M

Marien
2.7 = - log (H+)
(H+) = 0.07 M

Therefore, Aeen's drink is 0.07/0.04 or 2 times more hydrogen ion concentration than Marien's drink.

Answer 2

The hydrogen ion concentration can be determine by using pH formula.

4 times the hydrogen ion concentration of Aeen’s drink is the hydrogen ion concentration of Marien’s drink.

Given:

The pH level in Aeen drinking beverage is 3.3.

The pH level in Marien drinking beverage is 2.7.

Calculate the hydrogen ion concentration in Aeen beverage.

$3.3=-\log [\rm H^+]\\\ [ \rm H^+]=10^3.3\\\ [ \rm H^+]=0.0005$

Calculate the hydrogen ion concentration in Marien beverage.

$2.7 = - \log[\rm H^{+}]\\\ [\rm H^{+}] = 10^{-2.7}\\\ [\rm H^{+}]= 0.002$

Now, find the Proportion Marien and Aeen.

$=\dfrac {0.002}{0.0005}\\=4 \:\rm times$

Thus, 4 times the hydrogen ion concentration of Aeen’s drink is the hydrogen ion concentration of Marien’s drink.

Learn more about hydrogen ion concentration here:

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