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The equilibrium constant for the reactio...

The equilibrium constant for the reaction `N_(2)(g)+O_(2)(g)hArr 2NO(g)` at temperature T is `4xx10^(-4)`. The vlue of `K_(c )` for the reaction `NO(g)hArr (1)/(2)N_(2)(g)+(1)/(2)O_(2)(g)` at the same temperature is :

A

`50.0`

B

`0.02`

C

`2.5xx10^(2)`

D

`4xx10^(-4)`

Text Solution

Verified by Experts

The correct Answer is:
A
`N_(2)(g)+O_(2)(g)rarr 2NO(g), K=4xx10^(-4)`
`NO(g)rarr (1)/(2)N_(2)(g)+(1)/(2)O_(2)(g), K.= ?`
`K.=(1)/(sqrt(K))=(1)/(sqrt(4xx10^(-4)))=(1)/(2xx10^(-2))=50`
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