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Consider the following gases equilibrium...

Consider the following gases equilibrium given below:
(i) `N_(2)+3H_(2)hArr2NH_(3),"Eqm.Constant"=K_(1)`
(ii)`N_(2)+O_(2)hArr2NO, Eqm.constant=K_(2)`
(III) `H_(2)+(1)/(2)O_(2)hArrH_(2)O,Eqm.constant=K_(3)`
The equilibrium constant for the reaction ,`2NH_(3)+(5)/(2)O_(2)hArr3H_(2)O"in terms of" K_(1),K_(2)andK_(3)`will be :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
(I) `N_(2)+3H_(2) iff 2NH_(3):K_(1)=([NH_(3)]^(2))/([N_(2)][H_(2)]^(3))`
(II) `N_(2)+O_(2) iff 2NO,K_(2)=([NO]^(2))/([N_(2)][O_(2)])`
(III) `H_(2)+(1)/(2)O_(2) to H_(2)O,K_(3)=([H_(2)O])/([H_(2)][O_(2)]^(1//2))`
`(II+3 xx III-II)` will give
`2NH_(3)+(5)/(2)O_(2) overset(K)(iff)2NO+3H_(2)O`,
`:. K=K_(2) xx K_(3)^(3)//K_(1)`
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