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Question

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

A
0.9 L
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B
2.0 L
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C
9.0 L
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D
0.1 L
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Solution

The correct option is D 9.0 L
Initial pH=1, i.e. [H+]=0.1 mole/litre

New pH=2, i.e. [H+]=0.01 mole/litre
V1=1lit
In case of dilution:

M1V1=M2V2

0.1×1=0.01×V2

V2=10 litre

Volume of water added V =V2V1=9 litre.

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