ph = -logh+\naeen is drinking a beverage that has a ph of 3.3. marien is drinking a beverage that has a ph…
ph = -logh+\naeen is drinking a beverage that has a ph of 3.3. marien is drinking a beverage that has a ph of 2.7.\nabout how many times the hydrogen - ion concentration of aeens drink is the hydrogen - ion concentration\nof mariens drink? round to the nearest whole number.
Answer
Answer:
6
Explanation:
Step1: Find Aeen's hydrogen - ion concentration
Given $pH =-\log[H^+]$, for Aeen with $pH = 3.3$, we have $3.3=-\log[H^+{Aeen}]$. Then $\log[H^+{Aeen}]= - 3.3$, and $[H^+_{Aeen}]=10^{-3.3}$.
Step2: Find Marien's hydrogen - ion concentration
For Marien with $pH = 2.7$, we have $2.7 =-\log[H^+{Marien}]$. Then $\log[H^+{Marien}]=-2.7$, and $[H^+_{Marien}]=10^{-2.7}$.
Step3: Calculate the ratio
The ratio $\frac{[H^+{Marien}]}{[H^+{Aeen}]}=\frac{10^{-2.7}}{10^{-3.3}}$. Using the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$, we get $\frac{10^{-2.7}}{10^{-3.3}}=10^{-2.7+3.3}=10^{0.6}\approx6$.