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Two moles of `NH_(3)` when put into a previously evacuated vessel ( one litre), partially dossociate into `N_(2) and H_(2).` If at equlib rium one mole of `NH_(3)` is present, the equlibrium constant is
A. `3//4 mol^(2) litre^(-2)`
B. `27//64 mol^(2) litre^(-2)`
C. `27//32 mol^(2) litre^(-2)`
D. `27//16 mol^(2) litre^(-2)`

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Correct Answer - D
`2NH_(3)hArrN_(2)+3H_(2)`
`{:("Initial concentration",2,0,0),("At equlibrium concentration",1,1//2,3//2):}`
`K_(c)=([N_(2)][H_(2)]^(3))/([NH_(3)]^(2))=(1//2xx[3//2]^(3))/(I^(2))=27/16`
`[Given 2-2x=1,2x=1,x=1//2]`

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