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How many litres of water must be added t...

How many litres of water must be added to 1 litre of an aqueous solution of HCl with a pH of 1 to create an aqueous solution with pH of 2 ?

A

0.1 L

B

0.9 L

C

2.0 L

D

9.0 L

Text Solution

Verified by Experts

The correct Answer is:
D

`pH=1 therefore [H^(+)]_(1)=10^(-1)M`
`pH=2 therefore [H^(+)]_(2)=10^(-2)M`
According to dilution law,
`M_(1)V_(1)=M_(2)V_(2)`
`10^(-1)xx1=10^(-2)xx V_(2)`
`V_(2)=(10^(-1)xx1)/(10^(-2))=10L`
`therefore` Water to be added `=10-1=9L`.
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