Answer:
The new pH of the solution [tex]= 6[/tex]
Explanation:
Given
pH of bottle of Soda is [tex]3[/tex]
As we know that
pH [tex]= -[/tex]log [H+]
We will derive the hydrogen ion concentration when pH is [tex]3[/tex]
[tex]3 = -[/tex] log [H+]
Taking anti-log on both the sides, we get -
H+ ion is equal to [tex]10^{-3}[/tex]
When the hydronuim ion concentration reduces by [tex]\frac{1}{1000}[/tex] of the original concentration, the new hydrogen ion concentration becomes
[tex]\frac{1}{1000000} = 10^{-6}[/tex]
The new pH is
[tex]= - log [ 10^{-6}]\\= 6[/tex]