Cr2O72–(aq) + Cl(aq) → Cr3+(aq) + Cl2(g)

acidic environment

Cr2O72–(aq) + 14 H+(aq) + 6 e → 2 Cr3+(aq) + 7 H2O(l)

[2 Cl(aq) → Cl2(g) + 2 e] × 3

sum and eliminate common species

Cr2O72–(aq) + 6 Cl(aq) + 14 H+(aq) → 2 Cr3+(aq) + 3 Cl2(g) + 7 H2O(l)