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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The decomposition of \(\mathrm{XY}\) is second order in \(\mathrm{XY}\) and has a rate constant of \(7.02 \times 10^{-3} \mathrm{M}^{-1} \cdot \mathrm{s}^{-1}\) at a certain temperature. a. What is the half-life for this reaction at an initial concentra- tion of \(0.100 \mathrm{M} ?\) b. How long will it take for the concentration of XY to decrease to \(12.5 \%\) of its initial concentration when the ini- tial concentration is \(0.100 \mathrm{M}\) ? When the initial concentra- tion is \(0.200 \mathrm{M} ?\) c. If the initial concentration of \(\mathrm{XY}\) is \(0.150 \mathrm{M}\), how long will it take for the concentration to decrease to \(0.062 \mathrm{M} ?\) d. If the initial concentration of \(\mathrm{XY}\) is \(0.050 \mathrm{M},\) what is the concentration of XY after \(5.0 \times 10^{1}\) s? After \(5.50 \times 10^{2}\) s?
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?
Consider the reaction: $$ 2 \mathrm{~N}_{2} \mathrm{O}(g) \longrightarrow 2 \mathrm{~N}_{2}(g)+\mathrm{O}_{2}(g) $$ a. Express the rate of the reaction in terms of the change in concentration of each of the reactants and products. b. In the first \(15.0 \mathrm{~s}\) of the reaction, \(0.015 \mathrm{~mol}\) of \(\mathrm{O}_{2}\) is produced in a reaction vessel with a volume of \(0.500 \mathrm{~L}\). What is the average rate of the reaction during this time interval? c. Predict the rate of change in the concentration of \(\mathrm{N}_{2} \mathrm{O}\) during this time interval. In other words, what is \(\Delta\left[\mathrm{N}_{2} \mathrm{O}\right] / \Delta t ?\)
Consider the tabulated data showing the initial rate of a reaction (A \(\longrightarrow\) products) at several different concentrations of A. What is the order of the reaction? Write a rate law for the reac- tion, including the value of the rate constant, \(k\). $$ \begin{array}{cc} {[\mathrm{A}](\mathrm{M})} & \text { Initial Rate }(\mathrm{M} / \mathrm{s}) \\\ 0.12 & 3.89 \times 10^{-4} \\ \hline 0.18 & 8.75 \times 10^{-4} \\ \hline 0.28 & 2.12 \times 10^{-3} \\ \hline \end{array} $$
For a reaction with multiple reactants, how is the overall order of the reaction defined?
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