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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_(1)sqrtK_(2)`

B

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

C

`K_(1) 2K_(2)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
d

`NO_(g)+(1)/(2)O_(2)(g) hArrNO_(2)K_(1)`…..(i)
`2NO_(2)hArr2No_(g)+O_(2)_(g),K_(2)`……… (ii)
equation (ii) can be obtained by multiplying equation (i) by 2 and reversing it . Therefore , `K_(1)` and `K_(2)` are are related as `K_(2)=(1)/(K_(1)^(2)`
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