Answer:
The answer to this is the rate of the reaction will be reduced by a factor of 16
or [tex]\frac{1}{16} Rate[/tex]
Explanation:
Reaction rate is influence by the concentration of the reacting reagents. Te rate law is a mathematical relationship that relates the rate of a chemical to the concentration of the the reacting reagents this can be expressed in the form
Rate of a chemical reaction = [tex]k[A]^{m} [B]^{n} ^{2} [C]^{p}[/tex]
In the above rate reaction [A], [B] and [C] are the concentration of the reactants in moles therefore considering the given reaction rate law, we have
Rate = [tex]k[BrO^{-} _{3} ][Br^{-} ] [H^{+} ]^{2}\\[/tex]
If the concentration of the hydrogen ion in decreased by a factor of 4 then we have New Rate = [tex]k[BrO^{-} _{3} ][Br^{-} ] [\frac{H}{4} ^{+} ]^{2}\\[/tex] = [tex]\frac{1}{16}k[BrO^{-} _{3} ][Br^{-} ] [H^{+} ]^{2}\\[/tex] = [tex]\frac{1}{16} (Initial Rate)[/tex]
Hence the rate of the reaction will be reduced by a factor of 16