Explain each of the following facts with a mechanistic argument.
(a) When butyl methyl ether (1-methoxybutane) is treated with HI and heat, the initially formed products are mainly methyl iodide and 1 -butanol; little or no methanol and 1-iodobutane are formed.
(b) When the reaction mixture in part (a) is heated for longer times, 1 -iodobutane is also formed.
(c) When tert-butyl methyl ether is treated with HI, the products formed are tert-butyl iodide and methanol.
(d) Tert-butyl methyl ether cleaves much faster in HBr than its sulfur analog, tert-butyl methyl sulfide. (Hint: See Sec. 11.1.)
(e) When enantiomerically pure $(S)-2$ -methoxybutane is treated with $\mathrm{HBr}$, the products are enantiomerically pure $(S)-2$ -butanol and methyl bromide.