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Given N(2)(g)+3H(2)(g)hArr2NH(3)(g),K(...

Given
`N_(2)(g)+3H_(2)(g)hArr2NH_(3)(g),K_(1)`
`N_(2)(g)+O_(2)(g)hArr2NO(g),K_(2)`
`H_(2)(g)+(1)/(2)O_(2)hArrH_(2)O(g),K_(3)`
The equilibrium constant for
`2NH_(3)(g)+(5)/(2)O_(2)(g)hArr2NO(g)+3H_(2)O(g)`
will be

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
(1) `N_(2) + 3H_(2)hArr2NH_(3)`
(2) `N_(2) + O_(2)hArr2NO`
(3) `H_(2) + (1)/(2)O_(2)hArrH_(2)O`
(4) `2NH_(3) + (5)/(2)O_(2)hArr2NO + 3H_(2)O`
(5) `=(2) + 3(3) - (1)`
i.e. `K_(4) = (K_(2)K_(3)^(3))/(K_(1))`
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