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At a certain temperature , the following...

At a certain temperature , the following reactions have the equilibrium constants as shown below:
`S(s)+O_(2)(g)hArrSO_(2)(g),K_(c)=5xx10^(52)`
`2S(s)+3O_(2)(g)hArr2SO_(3)(g),K_(c)=10^(29)`
what is the equilibrium constant `K_(c)`for the reaction at tahea same temperature?
`2SO_(2)(g)+O_(2)(g)hArr2SO_(3)(g)`

A

`0.78`

B

`2.0`

C

`16.2`

D

`1.28`

Text Solution

Verified by Experts

The correct Answer is:
B
The given reactions are
`CO_(2)hArrC+_(1)/(2)O_(2),`
`K_(C_(1))=9.0xx10^(-12) …(i)`
`H_(2)OhArrH_(2)+(1)/(2)O_(2),`
`K_(C_(2))=7.0xx10^(-12) …(ii)`
Subtracting (ii) from (i), we get
`CO_(2)hArrCO+(1)/(2)O_(2),`
`K_(C_(1))=9.0xx10^(-12)`
`H_(2)OhArrH_(2)-(1)/(2)O_(2),`
`K_(C_(2))=7.0xx10^(-12)`
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