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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

Consider the following reaction: $$ 2 \mathrm{NO}(g)+2 \mathrm{H}_{2}(g) \longrightarrow \mathrm{N}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(g) $$ (a) The rate law for this reaction is first order in \(\mathrm{H}_{2}\) and second order in NO. Write the rate law. \((\mathbf{b})\) If the rate constant for this reaction at \(1000 \mathrm{~K}\) is \(6.0 \times 10^{4} \mathrm{M}^{-2} \mathrm{~s}^{-1}\), what is the reaction rate when \([\mathrm{NO}]=0.035 \mathrm{M}\) and \(\left[\mathrm{H}_{2}\right]=0.015 \mathrm{M} ?(\mathbf{c})\) What is the reaction rate at \(1000 \mathrm{~K}\) when the concentration of \(\mathrm{NO}\) is increased to \(0.10 \mathrm{M},\) while the concentration of \(\mathrm{H}_{2}\) is \(0.010 \mathrm{M} ?\) (d) What is the reaction rate at \(1000 \mathrm{~K}\) if \([\mathrm{NO}]\) is decreased to \(0.010 \mathrm{M}\) and \(\left[\mathrm{H}_{2}\right]\) is increased to \(0.030 \mathrm{M} ?\)

In solution, chemical species as simple as \(\mathrm{H}^{+}\) and \(\mathrm{OH}^{-}\) can serve as catalysts for reactions. Imagine you could measure the \(\left[\mathrm{H}^{+}\right]\) of a solution containing an acidcatalyzed reaction as it occurs. Assume the reactants and products themselves are neither acids nor bases. Sketch the \(\left[\mathrm{H}^{+}\right]\) concentration profile you would measure as a function of time for the reaction, assuming \(t=0\) is when you add a drop of acid to the reaction.

The addition of NO accelerates the decomposition of \(\mathrm{N}_{2} \mathrm{O}\), possibly by the following mechanism: $$ \begin{aligned} \mathrm{NO}(g)+\mathrm{N}_{2} \mathrm{O}(g) & \longrightarrow \mathrm{N}_{2}(g)+\mathrm{NO}_{2}(g) \\ 2 \mathrm{NO}_{2}(g) & \longrightarrow 2 \mathrm{NO}(g)+\mathrm{O}_{2}(g) \end{aligned} $$ (a) What is the chemical equation for the overall reaction? Show how the two steps can be added to give the overall equation. (b) Is NO serving as a catalyst or an intermediate in this reaction? (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?

The reaction between ethyl bromide \(\left(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{Br}\right)\) and hydroxide ion in ethyl alcohol at \(330 \mathrm{~K}\), \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{Br}(a l c)+\mathrm{OH}^{-}(a l c) \longrightarrow \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(l)+\mathrm{Br}^{-}(a l c),\) is first order each in ethyl bromide and hydroxide ion. When \(\left[\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{Br}\right]\) is \(0.0477 \mathrm{M}\) and \(\left[\mathrm{OH}^{-}\right]\) is \(0.100 \mathrm{M},\) the rate of disappearance of ethyl bromide is \(1.7 \times 10^{-7} \mathrm{M} / \mathrm{s}\). (a) What is the value of the rate constant? (b) What are the units of the rate constant? (c) How would the rate of disappearance of ethyl bromide change if the solution were diluted by adding an equal volume of pure ethyl alcohol to the solution?

For a first order reaction \(\mathrm{A} \longrightarrow \mathrm{B}+\mathrm{C},\) if the half-life of \(\mathrm{A}\) at \(25^{\circ} \mathrm{C}\) is \(3.05 \times 10^{4} \mathrm{~s},\) what is the rate constant \(k\) at this temperature? What percentage of A will not have reacted after one day?

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