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A mixture of N(2)and H(2) in the molare ...

A mixture of `N_(2)and H_(2)` in the molare ratio `1:3` attains equlibrium when `50%` of mixture has reacted. If P is the total pressue of the mixture, the partial pressure of `NH_(3)` formed is `P//y.` The value of y is

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The correct Answer is:
3

`{:(,N_(2) + 3H_(2) hArr 2NH_(3)),("Initial mole", " 1 3 0"),("At eq.","1 - x 3 - 3x 2 x "):}`
`:.` Out of 4 mole of mixture, 2 mole have reacted and hence 2 mole are left
`:.` 1 - x + 3 - 3x = 2 or 4x = 2 or x = 0.5
`:.` Total mole at equilibrium = 1 - x + 3 - 3 x + 2 x = 4 - 2 x = 4 - 2 0.5 = 3
No. of mole of ` NH_(3)` at equilibrium
`= 2 x = 2 0.5 = 1`
`:. P_(NH_(3)) = (1)/(3) xx P = (P)/(3) :. y = 3 `
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