Question

# When the pH changes from $$4$$ to $$2$$, the hydrogen ion concentration will increase by a factor:

A
2
B
1/2
C
102
D
100.5

Solution

## The correct option is C $${ 10 }^{ 2 }$$Formula:$$pH=-log[H^+]$$when $$pH=4$$$$[H^+]=10^{-pH}=10^{-4}$$when $$pH=2$$$$[H^+]=10^{-pH}=10^{-2}$$Increase in hydrogen ion concentration is $$10^{-4}/10^{-2}=100$$Chemistry

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