(a) In which of the following reactions would you expect the orientation factor to be least important in leading to reaction: \(\mathrm{NO}+\mathrm{O} \longrightarrow \mathrm{NO}_{2}\) or \(\mathrm{H}+\mathrm{Cl} \longrightarrow \mathrm{HCl}\) ? (b) Does the orientation factor depend on temperature?

Short Answer

Expert verified
(a) The orientation factor is least important in the reaction \(\mathrm{H}+\mathrm{Cl} \longrightarrow \mathrm{HCl}\), as both reactants are single atoms and bond formation is not dependent on the orientation of the collision. (b) The orientation factor does not depend on temperature, as it is mainly influenced by the structure and geometry of the reactants involved in the reaction.

Step by step solution

01

(a) Compare the orientation factors of the given reactions

To compare the orientation factors of the two reactions, we'll need to consider the structure of the reactant molecules and how they might collide to form products: 1. \(\mathrm{NO}+\mathrm{O} \longrightarrow \mathrm{NO}_{2}\): In this reaction, a nitrogen monoxide molecule (linear) collides with an oxygen atom (atomic). The oxygen atom can readily form a bond with the nitrogen atom in the nitrogen monoxide molecule, without much regard to the orientation of their collision. 2. \(\mathrm{H}+\mathrm{Cl} \longrightarrow \mathrm{HCl}\): In this reaction, a hydrogen atom (atomic) collides with a chlorine atom (atomic). Given that both of these species are single atoms, the formation of a bond between them would not be affected by the orientation of their collision.
02

Answer for (a)

Based on the analysis above, we can conclude that the orientation factor is least important in the second reaction (\(\mathrm{H}+\mathrm{Cl} \longrightarrow \mathrm{HCl}\)) because both reactants are single atoms and the formation of a bond is not dependent on the orientation of the collision.
03

(b) Determine if the orientation factor depends on temperature

The orientation factor is a dimensionless quantity that describes how the geometry of a collision between reactant molecules affects the reaction. Although the orientation factor itself does not directly depend on temperature, the effect of temperature on reaction rates can be seen in other aspects of collision theory, such as kinetic energy and collision frequency. Temperature can influence the reaction rate by increasing the kinetic energy of the reactant molecules, leading to more frequent and energetic collisions. However, the orientation factor only describes how the geometry of a specific collision determines whether a reaction successfully occurs, and it does not take into account temperature effects on the frequency or energy of collisions.
04

Answer for (b)

Therefore, the orientation factor does not depend on temperature. It is mainly influenced by the structure and geometry of the reactants involved in the reaction.

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Most popular questions from this chapter

The reaction between ethyl iodide and hydroxide ion in ethanol \(\left(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}\right)\) solution, \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{I}(a l c)+\mathrm{OH}^{-}(a l c) \longrightarrow\) \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(l)+\mathrm{I}^{-}(a l c),\) has an activation energy of 86.8 \(\mathrm{kJ} / \mathrm{mol}\) and a frequency factor of \(2.10 \times 10^{11} \mathrm{M}^{-1} \mathrm{s}^{-1}\) (a) Predict the rate constant for the reaction at \(35^{\circ} \mathrm{C} .\) (b) A g \(\mathrm{KOH}\) in ethanol to form 250.0 \(\mathrm{mL}\) of solution. Similarly, 1.453 \(\mathrm{g}\) of \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{I}\) is dissolved in ethanol to form 250.0 \(\mathrm{mL}\) of solution. Equal volumes of the two solutions are mixed. Assuming the reaction is first order in each reac-solution of \(\mathrm{KOH}\) in ethanol is made up by dissolving 0.335 g KOH in ethanol to form 250.0 \(\mathrm{mL}\) of solution. Similarly, 1.453 \(\mathrm{g}\) of \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{I}\) is dissolved in ethanol to form 250.0 \(\mathrm{mL}\) of solution. Equal volumes of the two solutions are mixed. Assuming the reaction is first order in each reactant, what is the initial rate at \(35^{\circ} \mathrm{C} ?(\mathbf{c})\) Which reagent in the reaction is limiting, assuming the reaction proceeds to completion? Assuming the frequency factor and activation energy do not change as a function of temperature, calculate the rate constant for the reaction at \(50^{\circ} \mathrm{C}\) .

(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 \(0.036 \mathrm{M} / \mathrm{s},\) what are the rates of change in the concentrations of \(\mathrm{CO}_{2}\) and \(\mathrm{H}_{2} \mathrm{O} ?(\mathbf{b})\) 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 74 torr per hour. What are the rates of change of \(\mathrm{NH}_{3}\) partial pressure and total pressure in the vessel?

The following mechanism has been proposed for the gasphase reaction of \(\mathrm{H}_{2}\) with ICl: $$\begin{array}{c}{\mathrm{H}_{2}(g)+\mathrm{ICl}(g) \longrightarrow \mathrm{HI}(g)+\mathrm{HCl}(g)} \\ {\mathrm{HI}(g)+\mathrm{ICl}(g) \longrightarrow \mathrm{I}_{2}(g)+\mathrm{HCl}(g)}\end{array}$$ \(\begin{array}{l}{\text { (a) Write the balanced equation for the overall reaction. }} \\ {\text { (b) Identify any intermediates in the mechanism. (c) If }}\end{array}\) the first step is slow and the second one is fast, which rate law do you expect to be observed for the overall reaction?

(a) The reaction \(\mathrm{H}_{2} \mathrm{O}_{2}(a q) \longrightarrow \mathrm{H}_{2} \mathrm{O}(l)+\frac{1}{2} \mathrm{O}_{2}(g)\) is first order. At 300 \(\mathrm{K}\) the rate constant equals \(7.0 \times 10^{-4} \mathrm{s}^{-1}\) . Calculate the half-life at this temperature. (b) If the activation energy for this reaction is \(75 \mathrm{kJ} / \mathrm{mol},\) at what temperature would the reaction rate be doubled?

Indicate whether each statement is true or false. (a) If you compare two reactions with similar collision factors, the one with the larger activation energy will be faster. (b) A reaction that has a small rate constant must have a small frequency factor. (c) Increasing the reaction temperature increases the fraction of successful collisions between reactants.

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