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At 80^(@)C distilled water has [H(3)O^(+...

At `80^(@)C` distilled water has `[H_(3)O^(+)]` concentration equal `[OH^(-)] 1xx10^(-6) "mole"//litre`. The value of `K_(w)` at this temperature will be

A

` 1xx 10^(-6)`

B

` 1xx 10^(-9)`

C

` 1 xx 10^(-12)`

D

` 1xx 10^(-15)`

Text Solution

Verified by Experts

The correct Answer is:
C
`K_(w)=[H_(3)O^(+)][OH^(-)] `
Concentration of `H_(3)O^(+)` in distilled water = `1 xx 10^(-6)` mol/l
Now `[H_(3)O^(+)]=[OH^(-)] `
`K_(w)= [1 xx 10^(-6)] xx [ 1 xx 10^(-6)] = 1 xx 10^(-12)`
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