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a. The equation for the reaction of (CH3)2CHCH2Br with Mg in ether followed by addition of D2O to the resulting solution is:
// (CH3)2CHCH2Br + Mg → (CH3)2CHCH2MgBr
// (CH3)2CHCH2MgBr + D2O → (CH3)2CHCH2OD + MgBrOD
b. The equation for the reaction of CH3CH2OCH2CBr(CH3)2 with Mg in ether followed by addition of D2O to the resulting solution is:
// CH3CH2OCH2CBr(CH3)2 + Mg → CH3CH2OCH2CMgBr(CH3)2
// CH3CH2OCH2CMgBr(CH3)2 + D2O → CH3CH2OCH2COD + MgBrOD
In both cases, the first step involves the Grignard reaction, where Mg reacts with the organic halide to form an organomagnesium compound. In the second step, D2O is added to the resulting solution, leading to the formation of deuterated organic compounds.