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0.023g of sodium metal is reacted with 1...

0.023g of sodium metal is reacted with `100 cm^(3)` of water. The pH of the resulting solution is :

A

10

B

11

C

9

D

12

Text Solution

Verified by Experts

The correct Answer is:
D

`2Na(s)+H_(2)O(l)hArr 2NaOH(aq)+H_(2)`
Weight of `Na=0.023 g`
Moles of `Na=(0.023)/(23)=0.001` mol
2 moles of Na produce 2 moles of NaOH
`therefore 0.001` mol of Na produce 0.002 moles of NaOH
Volume of solution `~~` Volume of water `=100cm^(3)`
`therefore` Molarity of NaOH
`=("No of moles of NaOH" xx 1000)/("Volume of water"(cm^(3)))`
`=(0.002)/(100)xx 1000=0.02 M`
`therefore pOH =-log [OH^(-)]=-log (0.02)`
`=-log (2xx10^(-2))`
`=-log 2-log log 10^(-2)`
`=-0.3010+2`
`=1.6990`
`pH+pOH=14`
`pH+1.6990=14`
`pH=14-1.6990`
`=12.301`.
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