The chemical reactions involved in the transformation of chromium $Cr$ into various compounds such as chromium chloride $CrCl3$, chromium hydroxide $Cr(OH)3$, and chromium oxide $Cr2O3$ are complex and usually occur through separate processes.

Chromium Chloride $CrCl3$:
2 Cr + 3 Cl2 → 2 CrCl3

Chromium Hydroxide $Cr(OH)3$:
CrCl3 + 3 NaOH → Cr$OH$3 + 3 NaCl

Chromium Oxide $Cr2O3$:
4 Cr$OH$3 + 3 O2 → 2 Cr2O3 + 6 H2O

Overall, the transformation of chromium from its elemental form to chromium chloride, chromium hydroxide, and chromium oxide involves a series of chemical reactions that typically involve the addition of appropriate reagents such as chlorine, sodium hydroxide, and oxygen.