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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 = sqrt(K_2)`

B

`K_2= 1/(K_1)`

C

`K_1= 2K_2`

D

`K_2 = 1/(K_1^2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`NO_((g)) + 1/2 O_(2(g)) hArr NO_(2(g)), K_1 " "…..(i)`
`2NO_(2(g)) hArr 2NO_((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 related as `K_2 = 1/(K_1^2)`
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