(Solved): 19. (15 marks) The decomposition of hydrogen peroxide (H2O2) was studied at 25C. The react ...

19. (15 marks) The decomposition of hydrogen peroxide $\left({\mathrm{H}}_2{\mathrm{O}}_2\right)$ was studied at $25^{?}\mathrm{C}$. The reaction is shown below: ${\mathrm{H}}_2{\mathrm{O}}_2(aq)?{\mathrm{H}}_2\mathrm{O}(l)+1/2{\mathrm{O}}_2(g)$ The hydrogen peroxide concentration was monitored over time, and the following plots were made: a) Write the rate law for this reaction. b) Calculate the rate constant at $25^{?}\mathrm{C}$. (Don't forget the units!) c) Determine the half-life of ${\mathrm{H}}_2{\mathrm{O}}_2$ at $25^{?}\mathrm{C}$. Explain or provide calculations. d) Calculate $\left[{\mathrm{H}}_2{\mathrm{O}}_2\right]$ after $5.00\times 10^3\sec$ if the initial concentration of ${\mathrm{H}}_2{\mathrm{O}}_2$ is $1.0\mathrm{mol}/\mathrm{L}$.