The rate of a reaction is written as: +(1/2) d[C]/dt = -(1/3) d[D]/dt = +(1/4) d[A]/dt = -d[B]/dt. Which balanced equation is consistent with this?

4A + B -> 2C + 3D
B + 3D -> 4A + 2C
A + B -> C + D
B + D -> A + C

Correct answer: B + 3D -> 4A + 2C

Solution

C, A appear with + sign (products) with coefficients 2 and 4; D, B appear with - sign (reactants) with coefficients 3 and 1, giving B + 3D -> 4A + 2C.

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