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Many metallic catalysts, particularly the precious-metal ones, are often deposited as very thin films on a substance of high surface area per unit mass, such as alumina \(\left(\mathrm{Al}_{2} \mathrm{O}_{3}\right)\) or silica \(\left(\mathrm{SiO}_{2}\right)\). (a) Why is this an effective way of utilizing the catalyst material? (b) How does the surface area affect the rate of reaction?

Short Answer

Expert verified
(a) Depositing metallic catalysts as thin films on high surface area substances like alumina and silica is effective because it maximizes the catalyst's available reactive sites, increasing the efficiency and effectiveness of the catalyst. (b) The surface area of the catalyst directly affects the rate of reaction – a larger surface area provides more reactive sites for reactant molecules to interact with, thus increasing the reaction rate.

Step by step solution

01

Importance of catalysts

Catalysts are substances that increase the rate of a chemical reaction by providing an alternative reaction pathway with a lower activation energy. Catalysts allow reactions to proceed at a faster rate, and they are not consumed during the process, meaning they can be used multiple times before being spent.
02

Utilizing catalyst material as thin films

Depositing metallic catalysts as very thin films on substances with high surface area per unit mass, such as alumina (Al2O3) or silica (SiO2), is an effective way of utilizing the catalyst material because it maximizes the exposed surface area of the catalyst. The more surface area a catalyst has, the more reactive sites are available for the reacting molecules to interact with, thus the higher the efficiency and effectiveness of the catalyst.
03

Surface area and its effect on reaction rate

The surface area of a catalyst is directly related to the rate of reaction. The larger the surface area, the more reactive sites are exposed for the reactants to interact with, which increases the chances of successful collisions between the reactant molecules and the catalyst. This ultimately leads to a higher rate of reaction. In this case, using high surface area substances like alumina and silica, along with depositing thin films of catalysts on them, amplifies the number of available reactive sites and thus considerably boosts the reaction rate. In summary: (a) Depositing metallic catalysts as thin films on high surface area substances like alumina and silica is an effective way of utilizing catalyst material because it maximizes the available reactive sites for the reaction, allowing for better efficiency and effectiveness of the catalyst. (b) The surface area of the catalyst significantly affects the rate of reaction: the larger the surface area, the more reactive sites are available for reactant molecules to interact with, and subsequently, the reaction rate increases.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Chemical Catalysts
Chemical catalysts are substances that play a pivotal role in regulating the speed of chemical reactions without being consumed in the process. Their primary function is to lower the activation energy required for a reaction to occur, which allows the reaction to proceed at a faster rate under the same conditions.

One important aspect of catalysts is their reusability. Because they are not consumed, they can participate in numerous reaction cycles. This characteristic makes catalysts highly valuable in both industrial processes and research, as they can significantly increase efficiency and reduce costs by minimizing the energy inputs necessary for chemical transformations.

It's essential to understand that while catalysts accelerate reactions, they do not alter the equilibrium of the reactions; they simply help reach that equilibrium faster. Furthermore, catalysts are highly specific, meaning that they generally catalyze only one type of chemical reaction or a select group of reactions with similar characteristics.
Activation Energy
Activation energy is the minimum quantity of energy that reacting species must possess to undergo a specified reaction. This energy barrier must be overcome for reactants to be transformed into products.

A helpful analogy is to picture activation energy as a hill that reactants must climb to convert into products. Catalysts effectively lower this hill, making it easier for reactants to transition without the need for additional energy input. This concept is crucial because it directly influences the reaction rate; the lower the activation energy, the more quickly a reaction will proceed.

The value of understanding activation energy lies in its application, as it helps chemists and engineers design reactions that are more efficient by selecting appropriate catalysts that enable these reactions to occur under milder conditions, often leading to safer and more sustainable industrial processes.
Reaction Rate
The reaction rate indicates how fast a reaction proceeds. It is usually expressed as the change in concentration of a reactant or product per unit time. Several factors influence the reaction rate, including temperature, concentration of reactants, presence of a catalyst, and physical state of the reactants.

The reaction rate is of immense importance in various sectors such as pharmaceuticals, where the speed of drug formation can impact production timelines, and the environment, where the rate of pollutant degradation can affect ecosystem health. By understanding the conditions that affect reaction rates, scientists and engineers can optimize conditions to achieve desired rates, balancing factors such as cost, time, and selectivity.
Surface Area Effect on Reactions
The surface area of a substance plays a significant role in determining how efficiently it can participate in a chemical reaction. This is particularly true for heterogenous reactions where the reactants are in different phases, such as a gas reacting with a solid catalyst.

Maximizing the surface area of a catalyst, by, for example, using a porous material or depositing a catalyst as a thin film, provides more reactive sites for reactants to interact. This interaction increases the probability of collisions leading to successful reactions and thus accelerates the overall reaction rate.

As surface area increases, so does the number of possible chemical interactions per unit of time, resulting in a more efficient reaction process. This concept is a critical consideration in catalyst design and is applied in creating high-surface-area support materials such as alumina and silica, which enhance the effectiveness of the catalyst and hence the reaction rate.

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Most popular questions from this chapter

NO catalyzes the decomposition of \(\mathrm{N}_{2} \mathrm{O}\), possibly by the following mechanism: $$ \begin{array}{r} \mathrm{NO}(g)+\mathrm{N}_{2} \mathrm{O}(g) \longrightarrow \mathrm{N}_{2}(g)+\mathrm{NO}_{2}(g) \\ 2 \mathrm{NO}_{2}(g) \longrightarrow 2 \mathrm{NO}(g)+\mathrm{O}_{2}(g) \end{array} $$ (a) What is the chemical equation for the overall reaction? Show how the two steps can be added to give the overall equation. (b) Why is NO considered a catalyst and not an intermediate? (c) If experiments show that during the decomposition of \(\mathrm{N}_{2} \mathrm{O}, \mathrm{NO}_{2}\) does not accumulate in measurable quantities, does this rule out the proposed mechanism? If you think not, suggest what might be going on.

A certain first-order reaction has a rate constant of \(2.75 \times 10^{-2} \mathrm{~s}^{-1}\) at \(20^{\circ} \mathrm{C}\). What is the value of \(k\) at \(60^{\circ} \mathrm{C}\) if (a) \(E_{a}=75.5 \mathrm{~kJ} / \mathrm{mol} ;\) (b) \(E_{a}=125 \mathrm{~kJ} / \mathrm{mol} ?\)

Enzymes are often described as following the two-step mechanism: $$ \begin{aligned} \mathrm{E}+\mathrm{S} & \rightleftharpoons \mathrm{ES} \text { (fast) } \\ \mathrm{ES} &-\rightarrow \mathrm{E}+\mathrm{P} \text { (slow) } \end{aligned} $$ Where \(\mathrm{E}=\) enzyme, \(\mathrm{S}=\) substrate, and \(\mathrm{P}=\) product. If an enzyme follows this mechanism, what rate law is expected for the reaction?

The rate of disappearance of \(\mathrm{HCl}\) was measured for the following reaction: $$ \mathrm{CH}_{3} \mathrm{OH}(a q)+\mathrm{HCl}(a q) \longrightarrow \mathrm{CH}_{3} \mathrm{Cl}(a q)+\mathrm{H}_{2} \mathrm{O}(l) $$ The following data were collected:\begin{tabular}{rl} \hline Time (min) & [HCl] (M) \\ \hline \(0.0\) & \(1.85\) \\ \(54.0\) & \(1.58\) \\ \(107.0\) & \(1.36\) \\ \(215.0\) & \(1.02\) \\ \(430.0\) & \(0.580\) \\ \hline \end{tabular} (a) Calculate the average rate of reaction, in \(M / \mathrm{s}\), for the time interval between each measurement. (b) Graph [HCl] versus time, and determine the instantaneous rates in \(M / \mathrm{min}\) and \(\mathrm{M} / \mathrm{s}\) at \(t=75.0 \mathrm{~min}\) and \(t=250 \mathrm{~min}\).

The following mechanism has been proposed for the reaction of \(\mathrm{NO}\) with \(\mathrm{H}_{2}\) to form \(\mathrm{N}_{2} \mathrm{O}\) and \(\mathrm{H}_{2} \mathrm{O}\) : $$ \begin{aligned} \mathrm{NO}(g)+\mathrm{NO}(g) & \longrightarrow \mathrm{N}_{2} \mathrm{O}_{2}(g) \\ \mathrm{N}_{2} \mathrm{O}_{2}(g)+\mathrm{H}_{2}(g) & \longrightarrow \mathrm{N}_{2} \mathrm{O}(g)+\mathrm{H}_{2} \mathrm{O}(g) \end{aligned} $$ (a) Show that the elementary reactions of the proposed mechanism add to provide a balanced equation for the reaction. (b) Write a rate law for each elementary reaction in the mechanism. (c) Identify any intermediates in the mechanism. (d) The observed rate law is rate \(=k[\mathrm{NO}]^{2}\left[\mathrm{H}_{2}\right]\). If the proposed mechanism is correct, what can we conclude about the relative speeds of the first and second reactions?

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