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Equilibrium constants K(1) and K(2) for ...

Equilibrium constants `K_(1)` and `K_(2)` for the following equilibria
`NO(g) +1//2O_(2)(g) overset(K_(1))(hArr) NO_(2)(g)` and `
`2NO_(2)(g) overset(K_(2))(hArr)2NO(g)+O_(2)(g)`
are related as

A

`K_(2)=1//K_(1)`

B

`K_(2)=K_(1)^(2)`

C

`K_(2)=K_(1)//2`

D

`K_(2)=1//K_(1)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`NO(g)+1//2O_(2)(g) overset(K_(1))(hArr)NO_(2)(g)`
`K_(1)([NO_(2)])/([NO][O_(2)]^(1//2))`
`2NO_(2)(g) overset(K_(2))(hArr)2NO(g)+O_(2)(g)`
`K_(2)=([NO]^(2)[O_(2)])/([NO_(2)]^(2))`
`:. K_(2)=1//K_(1)^(2)`
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