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A reaction mixture containing N(2) " at ...

A reaction mixture containing `N_(2) " at " 0*50 " atm" , "at " 0*05 " atm" NH_(3) " and " 3*0 " atm of hydrogen is heated to " 450^(@)C.` In which direction the reaction `N_(2) (g) + 3 H_(2) (g) hArr 2 NH_(3) (g) " will go if " K_(p)" is" 4*28 xx 10^(-5)`?

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The correct Answer is:
Backward direction
Concentration quotient (Q) = `(p_(NH_(3))^(2))/(p_(N_(2)) xx p_(H_(2))^(3)) =((0*50)^(2))/(0*5 xx (3*0)^(3))=0*055`
As `Q gt gt K_(p),` reaction will go in the backward direction.
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