(Solved): The decomposition of 5O2Cl2 is first order in 5O2Cl2 and has a rate constant of 1.25 ...

The decomposition of $$5{\mathrm{O}}_2{\mathrm{Cl}}_2$$ is first order in $$5{\mathrm{O}}_2{\mathrm{Cl}}_2$$ and has a rate constant of $$1.25\times 10^{?4}{\mathrm{s}}^{?1}$$ at a certain temperature, Part A What is the half-life for this reaction (in s)? Express your answer to three significant figures. $${\mathrm{t}}_{1/2}=\mathrm{s}$$ Part B If the initial concentration of $${\mathrm{SO}}_2{\mathrm{Cl}}_2$$ is $$1.30$$ mol. $${\mathrm{L}}^{?1}$$, how long (in $$\mathrm{s}$$ ) will it take for the concentration to decrease to $$1.00\mathrm{mol}?{\mathrm{L}}^{?1}$$ ? Express your answer using two significant figures. Part C How long (in s) will it take for the concentration of $${\mathrm{SO}}_2{\mathrm{Cl}}_2$$ to decrease to $$35\%$$ of its initial concentration? Express your answer using three significant figures. $$t=s$$ Part D If the initial concentration of $${\mathrm{SO}}_2{\mathrm{Cl}}_2$$ is $$0.175$$ mol. $${\mathrm{L}}^{?1}$$, what is the concentration (in mol.L $${}^{?1}$$ ) after $$2.50\times 10^2$$ s? Express your answer using three significant figures. $$\left[{\mathrm{SO}}_2{\mathrm{Cl}}_2\right]=\mathrm{mol}?{\mathrm{L}}^{?1}$$