Chapter 15: Problem 2
Why are reaction rates important (both practically and theoretically)?
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Chapter 15: Problem 2
Why are reaction rates important (both practically and theoretically)?
These are the key concepts you need to understand to accurately answer the question.
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Phosgene \(\left(\mathrm{Cl}_{2} \mathrm{CO}\right)\), a poison gas used in World War I, is formed by the reaction of \(\mathrm{Cl}_{2}\) and \(\mathrm{CO}\). The proposed mechanism for the reaction is: \(\mathrm{Cl}_{2} \rightleftharpoons 2 \mathrm{Cl} \quad\) (fast, equilibrium) \(\mathrm{Cl}+\mathrm{CO} \rightleftharpoons \mathrm{ClCO} \quad\) (fast, equilibrium) \(\mathrm{ClCO}+\mathrm{Cl}_{2} \longrightarrow \mathrm{Cl}_{2} \mathrm{CO}+\mathrm{Cl} \quad(\) slow \()\) What rate law is consistent with this mechanism?
The decomposition of \(\mathrm{SO}_{2} \mathrm{Cl}_{2}\) is first order in \(\mathrm{SO}_{2} \mathrm{Cl}_{2}\) and has a rate constant of \(1.42 \times 10^{-4} \mathrm{~s}^{-1}\) at a certain temperature. a. What is the half-life for this reaction? b. How long will it take for the concentration of \(\mathrm{SO}_{2} \mathrm{Cl}_{2}\) to decrease to \(25 \%\) of its initial concentration? c. If the initial concentration of \(\mathrm{SO}_{2} \mathrm{Cl}_{2}\) is \(1.00 \mathrm{M}\), how long will it take for the concentration to decrease to \(0.78 \mathrm{M} ?\) d. If the initial concentration of \(\mathrm{SO}_{2} \mathrm{Cl}_{2}\) is \(0.150 \mathrm{M},\) what is the concentration of \(\mathrm{SO}_{2} \mathrm{Cl}_{2}\) after \(2.00 \times 10^{2} \mathrm{~s}\) ? After \(5.00 \times 10^{2} \mathrm{~s} ?\)
The proposed mechanism for the formation of hydrogen bromide can be written in a simplified form as: \(\begin{array}{ll}\operatorname{Br}_{2}(g) \stackrel{k_{1}}{k_{1}} 2 \operatorname{Br}(g) & \text { Fast } \\\ \operatorname{Br}(g)+\mathrm{H}_{2}(g) \stackrel{k_{2}}{\longrightarrow} \operatorname{HBr}(g)+\mathrm{H}(g) & \text { Slow } \\\ \mathrm{H}(g)+\mathrm{Br}_{2}(g) \stackrel{k_{3}}{\longrightarrow} \mathrm{HBr}(g)+\operatorname{Br}(g) & \text { Fast }\end{array}\)
For a reaction with multiple reactants, how is the overall order of the reaction defined?
Indicate the order of reaction consistent with each observation. a. A plot of the concentration of the reactant versus time yields a straight line. b. The reaction has a half-life that is independent of initial concentration. c. A plot of the inverse of the concentration versus time yields a straight line.
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