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Consider the following equilibrium: SO...

Consider the following equilibrium:
`SO_(2)(g)+(1)/(2)O_(2)(g)overset(K_(1))(hArr)SO_(3)(g),`
`2SO_(3)(g)overset(K_(2))(hArr)`
What is the relation between `K_(1)` and `K_(2)`?

A

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

B

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

C

`K_(1)=K_(2)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
`SO_(2)+(1)/(2)O_(2)overset(K_(1))(hArr)SO_(3),`
`K_(1)=([SO_(3)])/([SO_(2)][O_(2)]^(1//2))`
`2SO_(3)overset(K_(2))(hArr)SO+OP_(2),`
`K_(2)=([SO_(2)][O_(2)])/([SO_(3)]^(2))`
or `K_(1)/K_(2)=([SO_(3)])/([SO_(2)][O_(2)]^(1//2))//([SO_(2)][O_(2)])/([SO_(3)]^(2))`
or `K_(1)=1/sqrt(K_(2))`
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