Consider the reaction 5Br−(aq)+BrO−3(aq)+6H+(aq)→3Br2(aq)+3H2O(l) The average rate of consumption of Br− is 2.06×10−4 M/s over the first two minutes. What is the average rate of formation of Br2 during the same time interval? Express your answer with th

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Answer:

[tex]1.236\times 10^{-4} M/s[/tex] is the average rate of formation of bromine gas during the same time interval.

Explanation:

The given reaction :

[tex]5Br^-(aq)+BrO^{3-}(aq)+6H^+(aq)\rightarrow 3Br_2(aq)+3H_2O(l)[/tex]

The average rate of consumption of [tex]Br^-=-\frac{d[Br^-]}{dt}= 2.06\times 10^{-4} M/s[/tex]

Rate of the reaction = R

[tex]R=\frac{-1}{5}\frac{d[Br^-]}{dt}[/tex]

[tex]R=\frac{1}{5}\times 2.06\times 10^{-4} M/s[/tex]

[tex]R=4.12\times 10^{-5}M/s[/tex]

The average rate of formation of [tex]Br_2=\frac{d[Br_2]}{dt}[/tex]

[tex]R=\frac{1}{3}\frac{d[Br_2]}{dt}[/tex]

[tex]\frac{d[Br_2]}{dt}=R\times 3=4.12\times 10^{-5}M/s\times 3=1.236\times 10^{-4} M/s[/tex]

[tex]1.236\times 10^{-4} M/s[/tex] is the average rate of formation of bromine gas during the same time interval.

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