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(a) What are the units usually used to express the rates of reactions occurring in solution? (b) From your everyday experience, give two examples of the effects of temperature on the rates of reactions. (c) What is the difference between average rate and instantaneous rate?

Short Answer

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The rates of reactions occurring in solutions are usually expressed in units of concentration per time, such as moles per liter per second (mol/L·s) or molarity per second (M/s). Two everyday examples of temperature effects on reaction rates are food spoilage, where higher temperatures lead to faster spoilage, and dissolving solutes in water, where higher temperatures make solutes dissolve more rapidly. The average rate of a reaction represents the overall rate at which the reaction progresses over a specified time interval, while the instantaneous rate is the rate of the reaction at a specific point in time, providing a more precise measure of the reaction rate at that specific moment.

Step by step solution

01

(a) Units for expressing reaction rates in solutions

The rates of reactions occurring in solutions are usually expressed in units of concentration per time, such as moles per liter per second (mol/L·s) or molarity per second (M/s). These units describe how the concentration of a reactant or product changes over time.
02

(b) Everyday examples of temperature effects on reaction rates

1. Food Spoilage: The rate at which food goes bad, or spoils, is influenced by temperature. At higher temperatures, the chemical reactions that cause food to spoil occur more rapidly, leading to faster expiration. This is why perishable foods like fruits, vegetables, and meats are often stored at colder temperatures in refrigerators to slow down this process and avoid spoilage. 2. Dissolving solutes in water: When dissolving sugar, salt, or other solutes in water, increasing the temperature of the water makes the solute dissolve faster. The reason is higher temperatures cause particles to move more rapidly, which leads to increased frequency and energy of collisions between solvent and solute molecules. This, in turn, accelerates the process of dissolving.
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(c) Difference between average rate and instantaneous rate

The average rate of a reaction is the change in concentration of a reactant or product over a specified time interval. It is calculated by dividing the total change in concentration by the total time interval during which the change occurred. The average rate represents the overall rate at which the reaction progresses over the time interval. On the other hand, the instantaneous rate is the rate of the reaction at a specific point in time. It is obtained by considering an infinitesimally small time interval around that point, and calculating the rate of change in concentration within that interval. Instantaneous rate provides a more precise measure of the reaction rate at that specific moment, while the average rate gives a broader view of the reaction progress over a longer time period.

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Most popular questions from this chapter

The following mechanism has been proposed for the gas-phase reaction of \(\mathrm{H}_{2}\) with ICl: $$ \begin{aligned} &\mathrm{H}_{2}(g)+\mathrm{ICl}(g) \longrightarrow \mathrm{HI}(g)+\mathrm{HCl}(g) \\ &\mathrm{HI}(g)+\mathrm{ICl}(g) \rightarrow \mathrm{I}_{2}(g)+\mathrm{HCl}(g) \end{aligned} $$ (a) Write the balanced equation for the overall reaction. (b) Identify any intermediates in the mechanism. (c) Write rate laws for each elementary reaction in the mechanism. (d) If the first step is slow and the second one is fast, what rate law do you expect to be observed for the overall reaction?

The reaction \(2 \mathrm{NO}_{2} \longrightarrow 2 \mathrm{NO}+\mathrm{O}_{2}\) has the rate constant \(k=0.63 \mathrm{M}^{-1} \mathrm{~s}^{-1}\). Based on the units for \(k\), is the reaction first or second order in \(\mathrm{NO}_{2}\) ? If the initial concentration of \(\mathrm{NO}_{2}\) is \(0.100 \mathrm{M}\), how would you determine how long it would take for the concentration to decrease to \(0.025 \mathrm{M} ?\)

The rate of the reaction \(\mathrm{CH}_{3} \mathrm{COOC}_{2} \mathrm{H}_{5}(a q)+\mathrm{OH}^{-}(a q) \longrightarrow\) $$ \mathrm{CH}_{3} \mathrm{COO}^{-}(a q)+\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(a q) $$ was measured at several temperatures, and the following data were collected: \begin{tabular}{ll} \hline Temperature \(\left({ }^{\circ} \mathrm{C}\right)\) & \(k\left(\boldsymbol{M}^{-1} \mathrm{~s}^{-1}\right)\) \\ \hline 15 & \(0.0521\) \\ 25 & \(0.101\) \\ 35 & \(0.184\) \\ 45 & \(0.332\) \\ \hline \end{tabular} Using these data, graph \(\ln k\) versus \(1 / T\). Using your graph, determine the value of \(E_{a}\)

(a) If you were going to build a system to check the effectiveness of automobile catalytic converters on cars, what substances would you want to look for in the car exhaust? (b) Automobile catalytic converters have to work at high temperatures, as hot exhaust gases stream through them. In what ways could this be an advantage? In what ways a disadvantage? (c) Why is the rate of flow of exhaust gases over a catalytic converter important?

(a) Consider the combustion of ethylene, \(\mathrm{C}_{2} \mathrm{H}_{4}(g)+\) \(3 \mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{CO}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(g)\). If the concentration of \(\mathrm{C}_{2} \mathrm{H}_{4}\) is decreasing at the rate of \(0.025 \mathrm{M} / \mathrm{s}\), what are the rates of change in the concentrations of \(\mathrm{CO}_{2}\) and \(\mathrm{H}_{2} \mathrm{O} ?\) (b) The rate of decrease in \(\mathrm{N}_{2} \mathrm{H}_{4}\) partial pressure in a closed reaction vessel from the reaction \(\mathrm{N}_{2} \mathrm{H}_{4}(g)+\mathrm{H}_{2}(g) \longrightarrow 2 \mathrm{NH}_{3}(g)\) is 63 torr \(/ \mathrm{h}\). What are the rates of change of \(\mathrm{NH}_{3}\) partial pressure and total pressure in the vessel?

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