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Liquid ammonia ionises to a slight exten...

Liquid ammonia ionises to a slight extent. Its self ionisation constant is `10^(-30) at - 50^(@) C ` , then the number of amide iona present per 1 cc of it at `-50^(@) ` C is

A

`6xx 10 ^(12) `

B

` 3xx10^(12) `

C

` 6xx10 ^(5) `

D

` 3xx10^(3) `

Text Solution

Verified by Experts

The correct Answer is:
C
` NH_3 hArr NH_2^(-) +H^(+) `
` K = [NH_2^(-) ][H^(+) ] = 10 ^(-30 ) `
` [NH_2 ^(-) ] =sqrt( 10^(-30)) = 10 ^(-15) `
`" Moles of " NH_2^(-) = 10 ^(-15) xx (1)/( 1000) = 10 ^(-18) `
` therefore "No . of" NH_2^(-) " ions " 10 ^(-18) xx 6 xx 10 ^(23) = 6 xx 10 ^(-5)`
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Knowledge Check

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