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Equilibrium constants K1 and K2 for the ...

Equilibrium constants `K_1 and K_2` for the following equilibria
`(a) NO_((g)) + 1/2 O_(2(g)) hArr NO_(2(g))`
(b) `2NO_(2(g)) hArr 2NO_((g)) + O_(2(g)) ` are related as :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
`K_(1)=([NO_(2)])/([NO][O_(2)]^(1//2))`
and `K_(2)=([NO]^(2)[O_(2)])/([NO_(2)])=(1)/(K_(1)^(2))`
`therefore K_(2)=(1)/(K_(1)^(2))`
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