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For the following reactions, equilibrium...

For the following reactions, equilibrium constants are given:
` S(s ) + O _ 2 (g) SO _ 2 (g ) , K _ 1 = 10 ^( 52 ) , 2 S ( s ) + 3O _ 2 ( g ) 2 SO _ 3 (g) , K _ 2 = 10 ^( 129) `
The equilibrium constant for the reaction, ` 2SO _ 2 (g ) + O _ 2 ( g ) 2 SO _ 3 (g) ` is

A

` 10 ^( 77) `

B

` 10 ^( 154 ) `

C

` 10 ^( 25 ) `

D

`10 ^( 181 ) `

Text Solution

Verified by Experts

` K _(eq) = ( [SO _ 3 ] ^ 2 ) /([SO _ 2]^ 2 [O _ 2 ] ) " " `…(1)
` K _ 1 = ( [SO _ 2] ) /([ O _ 2 ] ) = 10 ^( 52 ) `
` K _ 2 = ( [SO _ 3 ]^ 2 ) / ( [O_ 2 ] ^ 3 ) = 10 ^( 129) " " `…(2)
` K _ 1 ^ 2 = ( [SO _ 2 ] ^ 2 ) /( [O _ 2 ] ^ 2 ) = 10 ^( 104 ) " " `...(3)
` K _ (eq ) = (K _ 2) /(( K _ 1 )^ 2 ) = ( 10 ^ ( 129))/(10 ^( 104)) = 10 ^( 25 ) `
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