Answer:
pH of 0.1M solution : 1
pH of 0.01M solution : 2
The pH changes by 1 if the solution is diluted by a factor of 10
Explanation:
pH = [tex]-log[H+][/tex]
where ,
[tex][H+][/tex] is the concentration of [tex]H+[/tex] ions
∴
pH of this solution is :
[tex]pH=-log[H+]\\pH=-log[10^{-1}]\\pH=1[/tex]
when the solution gets diluted by a factor of 10 , volume increases 10 times.
As Molarity is inversly proportional to volume , molarity decreases by 10 times.
Thus , molarity becomes : 0.01M
pH of this solution is :
[tex]pH=-log[H+]\\pH=-log[10^{-2}]\\pH=2[/tex]
Δ[tex]pH=2-1=1[/tex]
pH of this solution is :
[tex]pH=-log[H+]\\pH=-log[10^{-2}]\\pH=2[/tex]
when the solution gets diluted by a factor of 10 , volume increases 10 times.
As Molarity is inversly proportional to volume , molarity decreases by 10 times.
Thus , molarity becomes : 0.01M
pH of this solution is :
[tex]pH=-log[H+]\\pH=-log[10^{-3}]\\pH=3[/tex]
Δ[tex]pH=3-2=1[/tex]
