1.

If the equilibrium constants of the following equilibria SO_(2)+(1)/(2)O_(2)iffSO_(3) and 2SO_(3)iff2SO_(2)+O_(2) are given by K_(1)andK_(2) respectively, which of the following relation is correct?

Answer»

`K_(2)=((1)/(K_(1)))^(2)`
`K_(1)=((1)/(K_(2)))^(3)`
`K_(2)=((1)/(K_(1)))`
`K_(2)=(K_(1))^(2)`

SOLUTION :`SO_(2)+(1)/(2)O_(2)iffSO_(3)""...(i)`
Therefore, `K_(1)=([SO_(3)])/([SO_(2)][O_(2)]^(1//2))`
`2SO_(3)iff2SO_(2)+O_(2)""...(ii)`
Thus, `K_(2)=([SO_(2)]^(2)[O_(2)])/([SO_(3)]^(2))`
`K_(2)=(1)/(K_(1)^(2))orK_(2)=((1)/(K_(1)))^(2)`


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