What is the equation for the reaction with Butan-1-ol with [o] acidified K_2Cr_2O_7?

    The butan-1-ol is oxidized to butanoic acid and the dichromate ion is reduced to chromium(III) ion.
    The method of balancing redox equations is described
    1: Separate into two half-reactions.
    ##CH_3CH_2CH_2CH_2OH CH_3CH_2CH_2COOH##
    ##Cr_2O_7^2- Cr^3+##
    2: Balance all atoms other than H and O.
    ##CH_3CH_2CH_2CH_2OH CH_3CH_2CH_2COOH##
    ##Cr_2O_7^2- color(red)(2)Cr^3+##
    3: Balance ##O##
    ##CH_3CH_2CH_2CH_2OH + H_2O CH_3CH_2CH_2COOH##
    ##Cr_2O_7^2- color(red)(2)Cr^3++ color(blue)(7)H_2O##
    4: Balance H.
    ##CH_3CH_2CH_2CH_2OH + H_2O CH_3CH_2CH_2COOH + color(brown)(4)H^+##
    ##Cr_2O_7^2- + color(brown)(14)H^+ color(red)(2)Cr^3++ color(blue)(7)H_2O##
    5: Balance charge.
    ##CH_3CH_2CH_2CH_2OH + H_2O CH_3CH_2CH_2COOH + color(brown)(4)H^+ + color(magenta)(4)e^-##
    ##Cr_2O_7^2- + color(brown)(14)H^+ + color(magenta)(6)e^- color(red)(2)Cr^3++ color(blue)(7)H_2O##
    6: Equalize electrons transferred.
    ##3 [CH_3CH_2CH_2CH_2OH + H_2O CH_3CH_2CH_2COOH + color(brown)(4)H^+ + color(magenta)(4)e^-]##
    ##2 [Cr_2O_7^2- + color(brown)(14)H^+ + color(magenta)(6)e^- color(red)(2)Cr^3++ color(blue)(7)H_2O]##
    7: Add the two half-reactions.
    ##3CH_3CH_2CH_2CH_2OH + 2Cr_2O_7^2- + color(brown)(16)H^+ 3CH_3CH_2CH_2COOH + color(red)(4)Cr^3++ color(blue)(11)H_2O##
    8: Check mass balance.
    ##Atomcolor(white)(m)On the leftcolor(white)(m)On the right##
    ##color(white)(m)Ccolor(white)(mmmm)12color(white)(mmmmml)12##
    ##color(white)(m)Hcolor(white)(mmmm)46color(white)(mmmmml)46##
    ##color(white)(m)Ocolor(white)(mmmm)17color(white)(mmmmml)17##
    ##color(white)(m)Crcolor(white)(mmmml)4color(white)(mmmmmll)4##
    9: Check charge balance.
    ##color(white)(mm)On the leftcolor(white)(mm)On the right##
    ##color(white)(m)4- + 16+ = 12+color(white)(mml)12+##
    The balanced equation is
    ##3CH_3CH_2CH_2CH_2OH + 2underbrace(color(orange)(Cr_2O_7^2-))_color(orange)(orange) + 16H^+ 3CH_3CH_2CH_2COOH + 4underbrace(color(green)(Cr^3+))_color(green)(green) + 11H_2O##
    The ##color(orange)(orange dichromate ion## is converted to the ##color(green)(green chromium(III) ion)##.

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