Answer:- [tex]NO_2^-[/tex] is a reducing agent, [tex]Cr_2O_7^2^-[/tex] is an oxidizing agent and [tex]H^+[/tex] is neither.
Solution:- We write the oxidation numbers for all the elements and see for which of them it's changing. An increase in oxidation number is oxidation and a decrease in oxidation number is reduction. What is being oxidized acts as a reducing agent and what is being reduced acts as an oxidizing agent.
Oxidation number of N in [tex]NO_2^-[/tex] is +3 and O is -2 . Oxidation number of H in [tex]H^+[/tex] is +1 . Oxidation number of Cr in [tex]Cr_2O_7^2^-[/tex] is +6 and O is -2 .
Oxidation number of N in [tex]NO_3^-[/tex] is +5 and O is -2. Oxidation number of Cr in [tex]Cr^3^+[/tex] is +3. oxidaton numbers of H and O in water are +1 and -2 respectively.
Looking at all of these only the oxidation number of N is increasing from +3 to +5 which indicates oxidation and so [tex]NO_2^-[/tex] is a reducing agent.
Oxidation number of Cr is decreasing from +6 to +3 which indicates reduction and so [tex]Cr_2O_7^2^-[/tex] is an oxidizing agent.
Oxidation numbers of H and O are not changing and hence [tex]H^+[/tex] is neither oxidizing nor reducing agent.