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Find out the value of equilibrium consta...

Find out the value of equilibrium constant, for the reaction, `2NH_(3)(g)+(5)/(2)O_(2)(g)hArr2NO(g)+3H_(2)O(g)`.
Consider `K_(1),K_(2) and K_(3)` as the respective equilibrium constants of the given three reaction:
`N_(2)(g)+3H_(2)(g)hArr 2NH_(3)(g)` . . . (1)
`N_(2)(g)+O_(2)(g)hArr 2NO(g)` . . (2)
`H_(2)(g)+(1)/(2)O_(2)(g)hArr H_(2)O(g)` . . . (3)

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