Chemistry Practice Problems Average Rate of Reaction Practice Problems Solution: Ozone decomposes to oxygen according to the equati...

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# Solution: Ozone decomposes to oxygen according to the equation 2O3 (g) ⟶ 3 O2 (g). Write the equation that relates the rate expressions for this reaction in terms of the disappearance of O3 and the formation of oxygen.

###### Problem

Ozone decomposes to oxygen according to the equation 2O3 (g) ⟶ 3 O2 (g). Write the equation that relates the rate expressions for this reaction in terms of the disappearance of O3 and the formation of oxygen.

###### Solution

We’re being asked to write the rate expression in terms of a) the rate of disappearance of O3 and b) rate of formation of O2 for the following reaction:

2O3 (g) ⟶ 3 O2 (g).

Recall that for a reaction aA  bB, the rate of a reaction is given by:

$\overline{){\mathbf{Rate}}{\mathbf{=}}{\mathbf{-}}\frac{\mathbf{1}}{\mathbf{a}}\frac{\mathbf{\Delta }\mathbf{\left[}\mathbf{A}\mathbf{\right]}}{\mathbf{\Delta t}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{b}}\frac{\mathbf{\Delta }\mathbf{\left[}\mathbf{B}\mathbf{\right]}}{\mathbf{\Delta t}}}$

where:

Δ[A] = change in concentration of reactants or products (in mol/L or M), [A]final – [A]initial

Δt = change in time, tfinal – tinitial

a, b = stoichiometric coefficients from balanced equation

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Average Rate of Reaction

Average Rate of Reaction

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