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Identify the compounds A, B and C in the...

Identify the compounds A, B and C in the following reaction :
`CH_(3)-Broverset(Mg//ether)rarr(A)overset((i)CO_(2))underset((i)"Water")rarr(B)overset(CH_(3)OH//H)underset(Delta)rarr(C)`

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complete chemical conversion can be done as
`underset("Bromomethane")(CH_(3))-Broverset("Mg/ether")rarrunderset("Methyl magnesium bromide")underset([A])(CH_(3)MgBr)overset((i) CO_(2))underset((ii) "water")rarrunderset("Ethanoic acid")underset([B])(CH_(3)COOH)overset(CH_(3)OH//H^(+))rarrunderset("Methyl ethanoate")underset([C])(CH_(3)COOCH_(3))`
Hence, `A=CH_(3)MgBr," "B=CH_(3)COOH," "C=CH_(3)-overset(O)overset(||)C-O-CH_(3)`
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