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Two gaseous equilibria SO(2)(g)+(1)/(2)O...

Two gaseous equilibria `SO_(2)(g)+(1)/(2)O_(2)(g)hArr SO_(3)(g) and 2SO_(3)(g) hArr 2SO_(2)(g)+O_(2)(g)` have equilibrium constants `K_(1) and K_(2)` respectively at 298 K. Which of the following relationships is correct?

A

`K_1 = K_2`

B

`K_2 = K_1^(2)`

C

`K_(2) =1/(K_1^2)`

D

`K_(2) =1/(K_1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`K_1 = ([SO_3])/([SO_2][O_2]^(1//2))andK_2=([SO_2]^2[O_2])/([SO_3]^2),K_2=1/K_1^2`
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