The correct option is A (NH4)2Cr2O7↓N2+Cr2O3+4H2O
Analysing the options
Option (A):
2CrO2−4+2H+→Cr2O2−7+H2O
Cr=+6 Cr=+6
In this reaction , no change in oxidation state of Cr is taking place.
Option (B):
Cr2O2−7+2OH−→2CrO2−4+H2O
Cr=+6 Cr=+6
In this reaction, no change in oxidation state is taking place as oxidation state of Cr in both Cr2O2−7 and CrO2−4 is the same (+6).
Option (C):
(NH4)2Cr2O7→N2+Cr2O3+4H2O
Cr=+6 Cr=+3
In this reaction, the oxidation state of Cr is decreasing from +6 to +3, this implies that (NH4)2Cr2O7 is getting reduced.
Thus, the oxidation state of Cr gets affected.
Option (D):
CrO2Cl2+2OH−→CrO2−4+2HCl
Cr=+6 Cr=+6
In this reaction, no change in oxidation state is taking place as oxidation state of Cr in CrO2Cl2 and CrO2−4 is (+6).
So, the correct answer is option (C)