Question

A solution with a pH of 6 has 1,000 times the hydrogen ion concentration as a solution with a pH of 9.
True / False.

Answer 1

Answer: The given statement is true.

Explanation:

pH is defined as the negative logarithm of hydrogen ion concentration present in the solution.

Mathematically,

$pH=-\log[H^+]$

• When pH = 6

Putting values in above equation, we get:

$6=-\log[H^+]$

$[H^+]=10^{-6}M$

• When pH = 9

Putting values in above equation, we get:

$9=-\log[H^+]$

$[H^+]=10^{-9}M$

Taking the ratio of hydrogen ion for both the pH:

$\frac{[H^+]_{pH=6}}{[H^+]_{pH=9}}=\frac{10^{-6}}{10^{-9}}\\\\\frac{[H^+]_{pH=6}}{[H^+]_{pH=9}}=10^3$

$[H^+]_{pH=6}=1000\times [H^+]_{pH=9}$

Hence, the given statement is true.