Answer:
The balanced half-reaction for the reduction of dichromate ion to chromium ion in acidic aqueous solution:
[tex]Cr_2O_7^{2-}(aq)+14H^+(aq)+6e^-\rightarrow 2Cr^{3+}(aq)+7H_2O(l)[/tex]
Explanation:
The reaction :
[tex]Cr_2O_7^{2-}\rightarrow Cr^{3+}[/tex]
Balancing of reaction in an acidic medium:
Step 1: Balance the atoms in the reaction:
[tex]Cr_2O_7^{2-}(aq)\rightarrow 2Cr^{3+}(aq)[/tex]
Step 2: Balance oxygen atom by adding water on the side where no oxygen or less oxygen atom is present;
[tex]Cr_2O_7^{2-}(aq)\rightarrow 2Cr^{3+}(aq)+7H_2O(l)[/tex]
Step 3: Balance the hydrogen atom by adding hydrogen ions on the side where water is absent:
[tex]Cr_2O_7^{2-}(aq)+14H^+(aq)\rightarrow 2Cr^{3+}(aq)+7H_2O(l)[/tex]
Step 4: Now balance charge by adding electrons on the side where more positive charge is present
[tex]Cr_2O_7^{2-}(aq)+14H^+(aq)+6e^-\rightarrow 2Cr^{3+}(aq)+7H_2O(l)[/tex]
The balanced half-reaction for the reduction of dichromate ion to chromium ion in acidic aqueous solution:
[tex]Cr_2O_7^{2-}(aq)+14H^+(aq)+6e^-\rightarrow 2Cr^{3+}(aq)+7H_2O(l)[/tex]