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Consider the following gaseous equilibri...

Consider the following gaseous equilibria with equilibrium constant `K_(1) "and" K_(2)` respectively.`SO_(2)(g)+1/2O_(2)(g) rarr SO_(3)(g), 2SO_(3)(g) rarr 2SO_(2)(g) + O_(2)(g)`
The equilibrium constant are related as :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
`K_(1) = P_(SO_(3))/(P_(SO_(2)).P^(1//2)_(O_(2))), K_(2) = (P_(SO_(2)^(2)).P_(O_(2)))/P^(2)_(SO_(3))`
Hence `K_(2) = 1/K_(1)^(2) or K_(1)^(2) = 1/K_(2)`
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