Based on the definition of logarithms, what is the difference in hydrogen ion concentration between a substance with a pH of 2 and a substance with a pH of 3?

Verified Answer :

Based on the definition of logarithms, the difference in hydrogen ion concentration between a substance with a pH of 2 and a substance with a pH of 3:
A) A substance with a pH of 2 has a 10 times higher concentration of H+ than a substance with a pH of 3. 

At pH= 2, [H+] = 0.01 M 
At pH =3, [H+] = 0.001 M

Answer: A substance with a pH of 2 has a 10 times higher concentration of H+ than a substance with a pH of 3.

Explanation:

pH or pOH is the measure of acidity or alkalinity of a solution.

pH is calculated by taking negative logarithm of hydrogen ion concentration and pOH is calculated by taking negative logarithm of hydroxide ion concentration.

\(pH=-\log [H^+]\)

\(pOH=-log{OH^-}\)

\(pH+pOH=14\)

Given: pH=2

\(2=-log[H^+]\)

\([H^+]=10^{-2}M\)

pH=3

\(3=-log[H^+]\)

\([H^+]=10^{-3}M\)

A substance with a pH of 2 has a 10 times higher concentration of H+ than a substance with a pH of 3.