Question

By what factor is the concentration of hydrogen ions in a solution with pH 6.4 greater than that of another solution with pH 10.7 ?

Answer 1

Answer:

 $\large \boxed{20 \,000}$

Explanation:

pH = -log[H⁺], so

$\text{[H ^{+} ]} = 10^{\text{-pH}}$

At pH 6.4,

$\text{[H ^{+} ]} = 10^{-6.4}$

At pH 10.7,

$\text{[H ^{+} ]} = 10^{-10.7}$

The ratio of the two concentrations is  

$\text{Ratio}= \dfrac{10^{-6.4}}{10^{-10.7}} = 10^{(10.7 - 6.4)} = 10^{4.3} = \mathbf{2 \times 10^{4}}\\\text{The ratio of the two concentrations is a factor of \large \boxed{\mathbf{20 \, 000}} }$