Answer: The molecules of oxygen gas that will be reduced to water are 42 molecules
Explanation:
We are given:
[tex]E^o_{(NO_2^-/NH_4)}=-0.41V\\E^o_{(O_2/H_2O)}=0.82V[/tex]
The substance having highest positive [tex]E^o[/tex] potential will always get reduced and will undergo reduction reaction. Here, oxygen will undergo reduction reaction will get reduced.
[tex]NH_4[/tex] will undergo oxidation reaction and will get oxidized.
Substance getting oxidized always act as anode and the one getting reduced always act as cathode.
The half reactions follows:
Oxidation half reaction: [tex]NH_4\rightarrow NO_2^-+6e^-[/tex] ( × 4)
Reduction half reaction: [tex]O_2+4e^-\rightarrow 2H_2O[/tex] ( × 6)
Overall reaction: [tex]4NH_4+6O_2\rightarrow 4NO_2^-+12H_2O[/tex]
We are given:
Molecules of [tex]NH_4[/tex] = 28
By Stoichiometry of the reaction:
4 molecules of [tex]NH_4[/tex] reacts with 6 molecules of oxygen gas
So, 28 molecules of [tex]NH_4[/tex] will react with = [tex]\frac{6}{4}\times 28=42[/tex] molecules of oxygen gas
Hence, the molecules of oxygen gas that will be reduced to water are 42 molecules