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(a) What is meant by the term reaction rate? (b) Name three factors that can affect the rate of a chemical reaction. (c) Is the rate of disappearance of reactants always the same as the rate of appearance of products?

Short Answer

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(a) Reaction rate refers to the speed at which a chemical reaction occurs, typically measured in moles per liter per second (mol/L/s). It is the change in concentration of reactants or products over time. (b) Three factors affecting reaction rate are temperature, concentration of reactants, and the presence of catalysts. (c) Yes, the rate of disappearance of reactants is always the same as the rate of appearance of products, due to the Law of Conservation of Mass, which states that the total mass of reactants must equal the total mass of the products in a closed system.

Step by step solution

01

Define Reaction Rate

Reaction rate refers to the speed at which a chemical reaction occurs. It is the change in concentration of reactants or products over a specific period of time. The unit of reaction rate is typically moles per liter per second (mol/L/s).
02

Factors Affecting Reaction Rate

There are several factors that influence the rate of a chemical reaction. Three common factors include: 1. Temperature: Increasing the temperature typically increases the reaction rate because it provides more energy for the particles to collide and react. 2. Concentration of reactants: A higher concentration of reactants usually leads to a faster reaction rate as there are more particles available for successful collisions and reactions. 3. Catalysts: The presence of a catalyst can increase the reaction rate by reducing the energy barrier required for a reaction to occur, allowing the reactant particles to collide and react more easily.
03

Reactants Disappearance vs. Products Appearance Rate

Yes, the rate of disappearance of reactants is always the same as the rate of appearance of products in a chemical reaction. This is because, according to the Law of Conservation of Mass, the total mass of the reactants must equal the total mass of the products in a closed system. As a result, when reactants are consumed and disappear, products are formed and appear at the same rate.

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Key Concepts

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

Factors Affecting Reaction Rate
The speed at which a chemical reaction takes place is influenced by several key factors. Understanding these factors can help in controlling and optimizing reactions. Here are the main ones to focus on:
  • Temperature: Raising the temperature increases the kinetic energy of the molecules involved. This leads to more frequent and energetic collisions, which typically enhances the reaction rate.
  • Concentration of Reactants: A higher concentration means more reactant molecules are present. This increases the likelihood that particles will collide and initiate a reaction.
  • Catalysts: These substances speed up reactions without being consumed. They lower the activation energy, which makes it easier for reactions to occur.
Each of these factors can significantly impact the speed of a reaction and are vital for chemical engineering and processes.
Concentration of Reactants
The concentration of reactants is essentially how much of a substance is present in a given volume. When the concentration is high, the reaction rate typically increases. This is because there are more particles in a space, leading to more frequent collisions.

Imagine a busy marketplace compared to an empty street. In the marketplace, people bump into each other constantly, similar to how molecules would react in a high concentration environment. In a diluted or less concentrated environment, fewer collisions happen, meaning reactions proceed more slowly.

This concept is foundational in chemistry and is especially important when scaling up reactions in industrial settings.
Catalysts
Catalysts are fascinating because they help speed up reactions by lowering the activation energy required for the reaction to occur. It's like lowering the height of a barrier to make it easier to climb over. Interestingly, a catalyst is not consumed in the reaction itself.

They work by providing an alternative reaction pathway that requires less energy. This allows more reactant molecules to have enough energy to react when they collide. In biological systems, enzymes act as catalysts and are crucial for speeding up the various biochemical reactions necessary for life.

Catalysts play a vital role in various industries, from manufacturing to pharmaceuticals, ensuring products can be made efficiently and on a large scale.
Temperature Effects on Reaction Rate
Temperature is a key player in the chemistry world, significantly affecting the rate of reactions. An increase in temperature generally makes reactions faster. This is due to two main reasons:
  • Kinetic Energy Boost: Higher temperatures give molecules more energy to move and collide with greater force, leading to more successful reactions.
  • Arrhenius Principle: This principle states that a temperature rise increases the number of molecules with the energy to overcome the activation energy barrier.
The relationship between temperature and reaction rate is often exponential; a small temperature increase can lead to a significant acceleration in reaction rates.

This principle helps explain why reactions happen faster when heated and slower when cooled, which is why food tends to spoil more quickly at warmer temperatures.
Conservation of Mass in Chemical Reactions
The Law of Conservation of Mass is a fundamental principle in chemistry stating that mass is neither created nor destroyed in a chemical reaction. This means that the mass of the reactants must equal the mass of the products.

During a reaction, atoms are rearranged but the total number, and thus the total mass, remains constant. This concept is vital when balancing chemical equations, ensuring that the same number of each type of atom is present on both sides of the equation.

In practical terms, it guarantees that all reactants are accounted for in the products, which is crucial for both lab experiments and industrial processes. This law is why we can predict the amounts of products formed from given quantities of reactants.

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Most popular questions from this chapter

As described in Exercise 14.41 , the decomposition of sulfuryl chloride \(\left(\mathrm{SO}_{2} \mathrm{Cl}_{2}\right)\) is a first-order process. The rate constant for the decomposition at \(660 \mathrm{~K}\) is \(4.5 \times 10^{-2} \mathrm{~s}^{-1}\). (a) If we begin with an initial \(\mathrm{SO}_{2} \mathrm{Cl}_{2}\) pressure of \(60 \mathrm{kPa}\), what is the partial pressure of this substance after 60 s? (b) At what time will the partial pressure of \(\mathrm{SO}_{2} \mathrm{Cl}_{2}\) decline to one-tenth its initial value?

From the following data for the second-order gas-phase decomposition of HI at \(430^{\circ} \mathrm{C}\), calculate the second-order rate constant and half- life for the reaction: $$ \begin{array}{rl} \hline \text { Time (s) } & \text { [HI]/mol } \mathrm{dm}^{-3} \\ \hline 0 & 1 \\ 100 & 0.89 \\ \hline 200 & 0.8 \\ \hline 300 & 0.72 \\ \hline 400 & 0.66 \\ \hline \end{array} $$

The oxidation of \(\mathrm{SO}_{2}\) to \(\mathrm{SO}_{3}\) is accelerated by \(\mathrm{NO}_{2}\). The reaction proceeds according to: $$ \begin{array}{l} \mathrm{NO}_{2}(g)+\mathrm{SO}_{2}(g) \longrightarrow \mathrm{NO}(g)+\mathrm{SO}_{3}(g) \\ 2 \mathrm{NO}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{NO}_{2}(g) \end{array} $$ (a) Show that, with appropriate coefficients, the two reactions can be summed to give the overall oxidation of \(\mathrm{SO}_{2}\) by \(\mathrm{O}_{2}\) to give \(\mathrm{SO}_{3} .\) (b) Do we consider \(\mathrm{NO}_{2}\) a catalyst or an intermediate in this reaction? (c) Would you classify NO as a catalyst or as an intermediate? (d) Is this an example of homogeneous catalysis or heterogeneous catalysis?

(a) 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 \(E_{a}=75.5 \mathrm{~kJ} / \mathrm{mol} ?(\mathbf{b})\) Another first-order reaction also 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 \(E_{a}=125 \mathrm{~kJ} / \mathrm{mol} ?(\mathbf{c})\) What assumptions do you need to make in order to calculate answers for parts (a) and (b)?

The dimerization of \(\mathrm{C}_{2} \mathrm{~F}_{4}\) to \(\mathrm{C}_{4} \mathrm{~F}_{8}\) has a rate constant \(k=0.045 \mathrm{M}^{-1} \mathrm{~s}^{-1}\) at \(450 \mathrm{~K} .\) (a) Based on the unit of \(k\) what is the reaction order in \(\mathrm{C}_{2} \mathrm{~F}_{4} ?(\mathbf{b})\) If the initial concentration of \(\mathrm{C}_{2} \mathrm{~F}_{4}\) is \(0.100 \mathrm{M}\), how long would it take for the concentration to decrease to \(0.020 \mathrm{M}\) at \(450 \mathrm{~K}\) ?

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