In a laboratory preparation of chlorine gas, solid potassium dichromate(VI) (K2Cr2O7\text{K}_2\text{Cr}_2\text{O}_7K2Cr2O7) reacts with concentrated hydrochloric acid (HCl\text{HCl}HCl) to form potassium chloride (KCl\text{KCl}KCl), chromium(III) chloride (CrCl3\text{CrCl}_3CrCl3), chlorine gas (Cl2\text{Cl}_2Cl2), and water (H2O\text{H}_2\text{O}H2O).
Write the balanced chemical equation for this reaction.