Answer:
The rate of appearance of Br₂ at the same instant is 0.0012 mol/L.
Explanation:
[tex]BrO^-+5Br^-+6H^+\rightarrow 3Br_2+3H_2O[/tex]
The rate of disappearance of [tex]Br^[/tex]:
[tex]-\frac{dBr^-}{dt}=2.0\times 10^{-3} mol/L[/tex]
Rate of the reaction in terms of bromide ions : R
[tex]R=-\frac{1}{5}\frac{dBr^-}{dt}[/tex]
[tex]R=\frac{1}{5}\times 2.0\times 10^{-3} mol/L=0.0004 mol/L[/tex]
Rate of the reaction in terms of bromine gas : R
[tex]R=\frac{1}{3}\frac{dBr_2}{dt}[/tex]
[tex]0.0004 mol/L=\frac{1}{3}\frac{dBr_2}{dt}[/tex]
[tex]\frac{dBr_2}{dt}[/tex]=3\times 0.0004 mol/L=0.0012 mol/L[/tex]
The rate of appearance of Br₂ at the same instant is 0.0012 mol/L.