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What is meant by the rate of a chemical reaction? What are the units of the rate of a reaction?

Short Answer

Expert verified
The rate of a reaction is the change in concentration over time, with units mol L\(^{-1}\) s\(^{-1}\).

Step by step solution

01

Understanding Reaction Rate

The rate of a chemical reaction refers to how quickly the concentration of a reactant or the concentration of a product changes over time. In chemical kinetics, we are interested in understanding how the speed of a chemical change affects the process.
02

Defining the Rate Measurement

The rate of reaction is typically measured as the change in concentration of a reactant or product per unit time. It can be expressed in terms of either the disappearance of reactants or the appearance of products.
03

Identifying Rate Units

The units of the rate of a reaction depend on the concentration units (commonly moles per liter, or mol/L) and the time units (such as seconds or minutes). Thus, the units of rate are Molarity per unit time, or \(\text{mol L}^{-1} \text{s}^{-1}\) in the SI system.

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Key Concepts

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

Chemical Kinetics
Chemical kinetics is a branch of chemistry focused on understanding the rate or speed of chemical reactions. It explores factors that affect how quickly reactions occur and helps in predicting how long a reaction will take to complete. In simple terms, it examines what influences the pace of a reaction. Some of these factors include:
  • Concentration of reactants
  • Temperature
  • Presence of catalysts
  • Surface area of reactants
Studying these elements allows chemists to control reactions efficiently and safely in industrial processes, laboratory experiments, and even everyday applications like cooking or rusting of metal.
Reaction Concentration
Reaction concentration refers to how much of a substance (reactant or product) is present in a given volume of solution. Usually measured in moles per liter (mol/L), it plays a critical role in determining the rate of a chemical reaction. Higher concentrations often lead to faster reactions because:
  • There are more reactant particles available to collide and react.
  • The probability of successful particle collisions increases.
However, not all reactions behave the same way as the concentration changes. Understanding the relationship between concentration and reaction rate is vital for predicting how quickly a reaction will proceed.
Reaction Rate Units
The units of the reaction rate help describe how fast a reactant is consumed or a product is formed per unit time. In chemical reactions, rate is typically expressed in molarity per time. Commonly used units are:
  • \( \text{mol L}^{-1} \text{s}^{-1} \) (moles per liter per second)
  • \( \text{mol L}^{-1} \text{min}^{-1} \) (moles per liter per minute)
The unit system selected depends on the timeframe over which the reaction is monitored. These units allow scientists to communicate and compare the speed of reactions, regardless of the substances involved.
Reaction Time Measurement
Measuring reaction time involves monitoring the change in concentration of reactants or products over time. This can be performed using several techniques, such as:
  • Colorimetry, which detects changes in color intensity
  • Titration, for determining the concentration of reactants
  • Spectroscopy, which measures light absorption
  • Monitoring physical changes like gas volume or pressure
Each method depends on the nature of the chemical reaction and the substances involved. By accurately measuring how quickly substances are used up or produced, chemists can calculate reaction rates and gain insights into the reaction's behavior.

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Most popular questions from this chapter

For the reaction \(\mathrm{X}_{2}+\mathrm{Y}+\mathrm{Z} \longrightarrow \mathrm{XY}+\mathrm{XZ},\) it is found that doubling the concentration of \(\mathrm{X}_{2}\) doubles the reaction rate, tripling the concentration of \(Y\) triples the rate, and doubling the concentration of \(Z\) has no effect. (a) What is the rate law for this reaction? (b) Why is it that the change in the concentration of \(Z\) has no effect on the rate? (c) Suggest a mechanism for the reaction that is consistent with the rate law.

(a) Consider two reactions, \(\mathrm{A}\) and \(\mathrm{B}\). If the rate constant for reaction B increases by a larger factor than that of reaction A when the temperature is increased from \(T_{1}\) to \(T_{2},\) what can you conclude about the relative values of the activation energies of the two reactions? (b) If a bimolecular reaction occurs every time an \(\mathrm{A}\) and a \(\mathrm{B}\) molecule collide, what can you say about the orientation factor and activation energy of the reaction?

The rate constant for the second-order reaction: $$ 2 \mathrm{NOBr}(g) \longrightarrow 2 \mathrm{NO}(g)+\mathrm{Br}_{2}(g) $$ is \(0.80 / M \cdot \mathrm{s}\) at \(10^{\circ} \mathrm{C}\). (a) Starting with a concentration of \(0.086 M,\) calculate the concentration of NOBr after \(22 \mathrm{~s}\). (b) Calculate the half-lives when [NOBr] \(_{0}=0.072 M\) and \([\mathrm{NOBr}]_{0}=0.054 \mathrm{M}\)

The integrated rate law for the zeroth-order reaction \(\mathrm{A} \longrightarrow \mathrm{B}\) is \([\mathrm{A}]_{t}=[\mathrm{A}]_{0}-k t .\) (a) Sketch the following plots: (i) rate versus \([\mathrm{A}]_{t}\) and (ii) \([\mathrm{A}]_{t}\) versus \(t\). (b) Derive an expression for the half-life of the reaction. (c) Calculate the time in half-lives when the integrated rate law is \(n o\) longer valid, that is, when \([\mathrm{A}]_{t}=0\).

When methyl phosphate is heated in acid solution, it reacts with water: $$ \mathrm{CH}_{3} \mathrm{OPO}_{3} \mathrm{H}_{2}+\mathrm{H}_{2} \mathrm{O} \longrightarrow \mathrm{CH}_{3} \mathrm{OH}+\mathrm{H}_{3} \mathrm{PO}_{4} $$ If the reaction is carried out in water enriched with \({ }^{18} \mathrm{O},\) the oxygen- 18 isotope is found in the phosphoric acid product but not in the methanol. What does this tell us about the mechanism of the reaction?

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