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

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

A

`10L`

B

`0.9L`

C

`2L`

D

`18L`

Text Solution

Verified by Experts

The correct Answer is:
D

How many liters of water ……..
`pH = 1 implies [H^(+)]=10^(-1)=0.1M`
`pH=2 implies [H^(+)] = 10^(-2) = 0.01M`
for dilution of `HCI M_(1)V_(1) = M_(2)V_(2)`
`0.1xx2=0.01xxV_(2)`
`V_(2) = 20L`
Volume of water added `= 20 - 2 = 18` litre
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