The coefficients which correctly balance the formula for the equation of reaction of NH₄ and NO₂ is 1,1,1,2.
This is the type of reaction in which the atoms of the elements of the reactants equal that of the product.
The balanced reaction is seen below where 2 was added to H₂O so as to balance the atoms of oxygen on both sides.
NH₄ + NO₂ (s) ⇒ N₂ (g)+2H₂O(l)
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