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.

Step-by-step 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:

`([H^+]_(pH=6))/([H^+]_(pH=9))=(10^(-6))/(10^(-9))\\\\([H^+]_(pH=6))/([H^+]_(pH=9))=10^3`

`[H^+]_(pH=6)=1000* [H^+]_(pH=9)`

Hence, the given statement is true.