Answer
Given equation:
Assign oxidation numbers
The oxidation number of H is + 1
The oxidation number of Cr in Cr³⁺ is +3
The oxidation number of O in ClO₃⁻ is +2
The oxidation number of Cl in ClO₃⁻ is -7
The oxidation number of Cr in Cr₂O₇²⁻ is +6
The oxidation number of Cl in ClO₂ is +4
The oxidation number of O in ClO₂ is -2
Oxidizing and reducing agents.
An oxidizing agent is a substance that causes oxidation by accepting electrons; therefore, it gets reduced. A reducing agent is a substance that causes reduction by losing electrons; therefore it gets oxidized.
ClO₃⁻ is the oxidizing agent and Cr³⁺ is the reducing agent.
Change in oxidation number.
The oxidation number of Cr changes from +3 in Cr³⁺ to +6 in Cr₂O₇²⁻
The oxidation number O changes from +2 in ClO₃⁻ to -2 in ClO₂
The oxidation number of Cl changes from -7 in ClO₃⁻ to +4 in ClO₂