How would you balance the chemical equation by adding coefficients as needed?

NaOH(aq) + NaNO_2(aq) + Al(s) +H_2O(l) -> NH_3(aq) + NaAlO_2(aq)NaOH(aq)+NaNO2(aq)+Al(s)+H2O(l)NH3(aq)+NaAlO2(aq)

1 Answer
Sep 8, 2016

You have described a redox process, for which 1/2 equations are the standard approach.
2Al +4H_2O(l) + NO_2^(-) rarr 2AlO_2^(-) +NH_4 ^++2H_2O(l)2Al+4H2O(l)+NO22AlO2+NH+4+2H2O(l)

Explanation:

Aluminum metal is oxidized to aluminate, AlO_2^-AlO2 (in water this is probably better represented by Al(OH)_4^-Al(OH)4 but I'll stick with the former):

Al +2H_2O(l) rarr AlO_2^(-) +3e^(-) +4H^+Al+2H2O(l)AlO2+3e+4H+. ii

This is balanced with respect to mass and charge.

Nitrite anion is reduced to ammonia: N(+III) rarr N(-III)N(+III)N(III).

NO_2^(-) +7H^(+) + 6e^(-) rarr NH_3 +2H_2O(l)NO2+7H++6eNH3+2H2O(l). iiii

Again, this is (I think) balanced with respect to mass and charge, and is therefore reasonable.

And thus 2xx(i)+(ii)2×(i)+(ii):

2Al(s) +4H_2O(l) + NO_2^(-) rarr 2AlO_2^(-) +NH_4 ^++2H_2O(l)2Al(s)+4H2O(l)+NO22AlO2+NH+4+2H2O(l)

I think this is balanced; but don't trust my arithmetic. If you need help with individual steps, ask for it. All I have done is write 2 half equations. Aluminum is oxidized to Al^(3+)Al3+; nitrite is reduced to ammonia.

Note that I think basic conditions are required, not acidic condtions. And we could resolve this by adding 1xxHO^-1×HO to each side of the equation (i.e. I want to get rid of the ammonium ion, NH_4^+NH+4).

2Al(s) +4H_2O(l) + NO_2^(-) +OH^(-) rarr 2AlO_2^(-) +NH_3+3H_2O(l)2Al(s)+4H2O(l)+NO2+OH2AlO2+NH3+3H2O(l)
Charge is balanced; mass is balanced, so I'm happy.