(Solved): How do you determine the rate law and reaction order? 2. (a) The oxidation of Br by BrO3in ac ...

2. (a) The oxidation of $$\mathrm{Br}$$ by $${\mathrm{BrO}}_3^{?}$$in acidic solution is given by the equation: $$5{\mathrm{Br}}_{(09)}^{(0)}+{\mathrm{BrO}}_{3(00)}^{?}+6{\mathrm{H}}_{(00)}^{+}?3{\mathrm{Br}}_{2(00)}+3{\mathrm{H}}_2{\mathrm{O}}_{(0)}$$ The reaction is first order in $${\mathrm{Br}}^{?}$$, first order in $${\mathrm{BrO}}_3^3$$ and second order in $${\mathrm{H}}^{+}$$. (i) Write the rate law for the reaction (ii) What is the overall reaction order? (iii) How does the reaction rate change if the $${\mathbf{H}}^{+}$$is doubled? (iv) What is the change in rate if the concentration $${\mathrm{BrO}}_3^{?}$$is halved? (b) The reaction: $$2{\mathrm{N}}_2{\mathrm{O}}_5?2{\mathrm{N}}_2{\mathrm{O}}_{2(?)}+4{\mathrm{O}}_{2(?)}$$ is a first-order reaction and has the rate constant of $$6.21\times 10^{?4}{\mathrm{s}}^{?1}$$ at $$1000\mathrm{K}$$. If the initial concentration is $$0.54\mathrm{M}$$ (i) What is the concentration (M) of $${\mathrm{N}}_2{\mathrm{O}}_5$$ after $$45\min$$ ? (ii) How long will it take for the concentration of $${\mathrm{N}}_2{\mathrm{O}}_5$$ to drop to $$0.15\mathrm{M}$$ ? (iii) How long does it take for $$74\%$$ of the $${\mathrm{N}}_2{\mathrm{O}}_5$$ to react?