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Consider the equilibria (1) and (2) with...

Consider the equilibria (1) and (2) with equilibrium constants `K_1 and K_2`, respectively
`SO_2(g) + (1)/(2) O_2(g) iff SO_3(g) `……. (1)
` 2SO_(3) (g) iff 2 SO_2(g) + O_2(g) `……… (2)
`K_1 and K_2` are related as

A

`2K_1 = 2K_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 = ([SO_3])/( [O_2]^(1//2) [SO_2])`
`K_2 = ([SO_2]^(2) [O_2])/([SO_3]^(2))`
Hence : `K_2 = (1)/(K_1^(2))`
` K_1^(2) = (1)/(K_2)`
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