Consider the following hypothetical reaction which could occur between a cyclic haloalkane and magnesium hydride: C10H14Cl6...

Consider the following hypothetical reaction which could occur between a cyclic haloalkane and magnesium hydride: C10H14Cl6 + Mg2H4 → C10H22Cl2 + Mg2Cl4 calculate the atom economy of this reaction assuming that C10H22CL2 is the desired product

Expert Solution

Atom economy = ( molar mass of the desired product / molarmass of all the reactants ) x100

Molar mas of C₁₀H₂₂Cl₂ = (10xAt.mass of C ) + (22xAt.mass of H ) + (2xAt.mass of Cl)

= ( 10 x12) + (22x1) + (2x35.5)

= 213 g/mol

Molar mass of C₁₀H₁₄Cl₆ = (10xAt.mass of C ) + (14xAt.mass of H ) + (6xAt.mass of Cl)

= ( 10 x12) + (14x1) + (6x35.5)

= 347 g/mol

Molar mass of Mg2H4 = (2xAt.mass of Mg) + (4xAt.mass of H)

= (2x24) + (4x1)

= 52 g/mol

So total molar mass of the reactants = 347+52 = 399 g/mol

So atom economy = ( 213 / 399 ) x 100

= 53.4 %

Therefore the atom economy of this reaction is 53.4%

queen_honey_blossom answered 3 months ago

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