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Which of the following gives the equation that relates the rate of consumption of Al to...

Which of the following gives the equation that relates the rate of consumption of Al to the rate of formation of Al2O3 for the reaction below?

8Al+3Fe3O4→4Al2O3+9Fe

Select the correct answer below:

1/8Δ[Al]Δt=14Δ[Al2O3]Δt

−1/8Δ[Al]Δt=14Δ[Al2O3]Δt

−8Δ[Al]Δt=4Δ[Al2O3]Δt

8Δ[Al]Δt=4Δ[Al2O3]Δt

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Answer #1

rate of reaction is given as:

rate = sign * (1/x) * d[concentration]/dt

sign is negative for reactant and positive for product

x is stoichiometric coefficient in chemical equation

Rate in terms of Al is:

Rate = (-1/8)Δ[Al]/Δt

Rate in terms of Al2O3 is:

Rate = (1/4)Δ[Al2O3]/Δt

Equate both:

(-1/8)Δ[Al]/Δt = (1/4)Δ[Al2O3]/Δt

Answer: option 2

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