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Q. One mole of hydrazine $(N_2H_4)$ loses $10$ moles of electrons in a reaction to form a new compound $X$. Assuming that all the nitrogen atoms in hydrazine appear in the new compound, what is the oxidation state of nitrogen in $X$ ? (Note: There is no change in the oxidation state of hydrogen in the reaction)

KEAMKEAM 2016Redox Reactions

Solution:

Given, $1\, mol$ of $H _{2} N - NH _{2}$ (hydrazine), it loses 10 moles of electrons to form a new compound that contains both the N-atoms with same oxidation number means:

$N _{2} H _{4} \longrightarrow 10 e^{-}+X$ (product)

(Oxidation number of $N$ -atom in $N _{2} H _{4}=-2$ )

$\because$ Oxidation number of both the $N$ - atoms are same.

New total oxidation number of new compound (X)atoms)

$=4-10+x=0$ (due to 4 H- atoms)

$\therefore x=+6$

$\therefore $ Each $N$ -atom has oxidation state $=+3$

Alternate method

$\underset{(-2)}{ N _{2} H _{4}} \longrightarrow X$

Number of electrons lost per $N$ - atom $=5$

$\therefore $ New oxidation state of $N$ in $X$

$=-2+5+x=0 $

$x=+3$