Which sequence of steps describes the best synthesis of $2-$methyl$-3-$pentanone?

  • A
    $(1)$ $1-$Propanol $+ (CH_3)_2CHMgBr$,diethyl ether
    $(2)$ $H_3O^{+}$
    $(3)$ $PCC, CH_2Cl_2$
  • B
    $(1)$ $1-$Propanol $+ Na_2Cr_2O_7, H_2SO_4, H_2O$,heat
    $(2)$ $SOCl_2$
    $(3)$ $(CH_3)_2CHCl, AlCl_3$
  • C
    $(1)$ $1-$Propanol $+ PCC, CH_2Cl_2$
    $(2)$ $(CH_3)_2CHLi$,diethyl ether
    $(3)$ $H_3O^{+}$
    $(4)$ $Na_2Cr_2O_7, H_2SO_4, H_2O$,heat
  • D
    $(1)$ $2-$Propanol $+ Na_2Cr_2O_7, H_2SO_4, H_2O$,heat
    $(2)$ $CH_3CH_2CH_2Li$,diethyl ether
    $(3)$ $H_3O^{+}$
    $(4)$ $PCC, CH_2Cl_2$

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