HCl and CH3OH reaction mechanism

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This video describes the mechanism for the reaction between hydrochloric acid and methanol, using standard arrows to explain the "electron pushing". The structures of the products are shown. The pKa values of the acid and the conjugate acid are compared to determine whether the reaction is reactant or product favored.
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Why does the OH2 not just leave the methyl group and make CH3Cl and water instead of CH3OH2+ and Cl-?

jonniepalmer
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I thought the reaction was going to result in =Cl-+ CH4+ OH-

joycelynansah-adjei
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great, would get better with a black pen

alfredomartin