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How is methoxyethane prepared from : (...

How is methoxyethane prepared from :
(a) Methyl iodide
(b) Diazomethane

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(a) Methyl Iodide `to` Methoxyethane
`underset("ethoxide")underset("Methyl")(CH_(3)I)+underset("ethoxide")underset("Potassium")(C_(2)H_(5)O^(-)K^(+))tounderset()underset("Methoxyethane")(C_(2)H_(5)-O)-CH_(3)+KI`
(b) Diazomethane `to` Methoxythane
`underset("(Diazomethane)")(CH_(2)N_(2))+underset("(Ethanol)")(C_(2)H_(5)OH)underset(Delta)overset(BF_(3))tounderset("Methoxyethane")(C_(2)H_(5)-O-CH_(3))`
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