 
 
 
- First step: 
Ethanol $\Rightarrow$ ethanal:
$CH_3CH_2OH$ $-$ $2e^-$ $\rightarrow$ $ CH_3CHO$ $+$ $2H^+$ | $\cdot 3$
$Cr_2O_7^{2-}$ $+$ $6e^-$ $+$ $14H^+$ $\rightarrow$ $ 2Cr^{3+}$ $+$ $7H_2O$ 
 
 $3CH_3CH_2OH$ $+$ $Cr_2O_7^{2-}$ $ +$ $8H^+$ $\rightarrow$ $ 3CH_3CHO $ $+$ $ 2Cr^{3+}$ $+$ $7H_2O$
- Second step: 
Ethanal $\Rightarrow$ ethanoic (acetic) acid: 
 
$CH_3CHO-2e^-$ $+$ $H_2O$ $\rightarrow$ $ CH_3COOH$ $+$ $2H^+$ | $\cdot 3$
$Cr_2O_7^{2-}$ $+$ $6e^-$ $+$ $14H^+$ $\rightarrow$ $ 2Cr^{3+}$ $+$ $7H_2O$
$3CH_3CH_2OH$ $+$ $Cr_2O_7^{2-}$ $ +$ $8H^+$ $\rightarrow$ $ 3CH_3CHO $ $+$ $ 2Cr^{3+}$ $+$ $7H_2O$
- Second step: 
Ethanal $\Rightarrow$ ethanoic (acetic) acid: 
 
$CH_3CHO-2e^-$ $+$ $H_2O$ $\rightarrow$ $ CH_3COOH$ $+$ $2H^+$ | $\cdot 3$
$Cr_2O_7^{2-}$ $+$ $6e^-$ $+$ $14H^+$ $\rightarrow$ $ 2Cr^{3+}$ $+$ $7H_2O$
 $3CH_3CHO$ $+$ $Cr_2O_7^{2-}$ $ +$ $8H^+$ $\rightarrow$ $ 3CH_3COOH$ $ + $ $2Cr^{3+}$ $+$ $4H_2O$
$3CH_3CHO$ $+$ $Cr_2O_7^{2-}$ $ +$ $8H^+$ $\rightarrow$ $ 3CH_3COOH$ $ + $ $2Cr^{3+}$ $+$ $4H_2O$
A color change from orange $(Cr_2O_7^{2-})$ to dark green $(Cr^{3+})$ is observed.