Question

an acid with a ph of 6 has ________ hydrogen ions than pur
a) 100 - fold fewer
b) 10 - fold more
c) 100 - fold more
d) 10 - fold fewer

Explanation:

Step1: Recall pH formula

The pH formula is $pH = -\log_{10}[H^+]$, where $[H^+]$ is the hydrogen - ion concentration. For pure water, $pH = 7$, so $[H^+]_{water}=10^{-7}\ M$. For an acid with $pH = 6$, $[H^+]_{acid}=10^{-6}\ M$.

Step2: Calculate the ratio

We find the ratio $\frac{[H^+]_{acid}}{[H^+]_{water}}=\frac{10^{-6}}{10^{-7}}$. Using the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$, we have $\frac{10^{-6}}{10^{-7}}=10^{-6-(-7)} = 10^{1}=10$. This means the acid with $pH = 6$ has 10 - fold more hydrogen ions than pure water.

Answer:

B. 10 - fold more