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K for the synthesis of HI is 50. K for d...

`K` for the synthesis of `HI` is `50`. `K` for dissociation of `HI` is

A

`0.10`

B

`0.14`

C

`0.18`

D

`0.22`

Text Solution

Verified by Experts

The correct Answer is:
D
`{:(2HI(g),hArr,H_2(g)+,I_2(g)),(1-alpha,"",alpha/2,alpha/2):}`
Where `alpha` is the degree of dissociation
`K_("diss")=1/(K_("synthesis"))=1/(50)`
`1/(50)=(alpha/2xxalpha/2)/(1-alpha)^2`
`alpha/(2(1-2))=1/(5sqrt2)`
`5sqrt2 alpha=2-2alpha`
`2+5 sqrt2 alpha=2`
`alpha=2/(2+5sqrt2)=0.22`
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