The rate of a reaction depends both on inherent factors and on concentration. The rate constant \(k\) is associated with the inherent factors. What are they?

Short Answer

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The rate constant (k) is a proportionality constant representing the rate of a reaction under specific conditions and is independent of reactant concentrations. Inherent factors affecting the rate of a reaction include the nature of reactants, activation energy, surface area, molecular orientation, and the presence of catalysts. These intrinsic factors significantly impact the reaction rate and are crucial in determining the overall rate constant (k).

Step by step solution

01

Define rate constant

The rate constant (k) is a proportionality constant that represents the rate of a reaction under specific conditions, including temperature, and is independent of the concentration of the reactants. It is an essential component of the rate law equation, which defines the relationship between the rate of a reaction and the concentration of its reactants.
02

List the inherent factors

Inherent factors are the factors that are intrinsic to the reaction itself, and they greatly impact the rate of a reaction. The inherent factors can be classified into: 1. Nature of reactants: Some reactants are more reactive than others, which means their rate of reactions can vary significantly. The type of chemical bond and stability of the reactants also play a crucial role in the reaction rate. 2. Activation energy: The activation energy of a reaction is the minimum amount of energy required for reactants to transform into products. Reactions with higher activation energy rates tend to have slower rates, as more energy is required for the reaction to occur. 3. Surface area: The surface area of reactants can also affect the reaction rate. If a reactant has a larger surface area, it provides more contact points for other reactants, leading to a faster reaction rate. 4. Molecular orientation: The orientation of molecules during a collision can influence whether or not a chemical reaction occurs. For a reaction to take place, the molecules must be correctly aligned for bonds to break and new ones to form. 5. Catalysts: A catalyst is a substance that increases the reaction rate without being consumed in the process. Catalysts work by lowering the activation energy required for a reaction to occur, enabling the reaction to proceed at a faster rate. In conclusion, the rate constant (k) is associated with the inherent factors mentioned above. These factors play an essential role in determining the rate of a reaction.

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Most popular questions from this chapter

A reaction is exothermic, with \(\Delta E_{\mathrm{rxn}}=-40 \mathrm{~kJ}\), and the transition state is \(20 \mathrm{~kJ}\) higher in energy than the reactants. Sketch a reaction-energy profile consistent with this information, complete with labels for the distances representing \(\Delta E_{\mathrm{rxn}}\) and \(E_{\mathrm{a}} .\)

The mechanism for the endothermic reaction \(\mathrm{A}+\mathrm{B} \rightarrow \mathrm{C}+\mathrm{X}\) is Step \(1: \mathrm{A}+\mathrm{A} \rightarrow \mathrm{C}+\mathrm{D}(\mathrm{slow})\) Step \(2: \mathrm{B}+\mathrm{D} \rightarrow \mathrm{X}+\mathrm{A}\) (fast) (a) Draw the reaction-energy profile for this reaction and label reactants, products, reaction intermediates, transition states, activation energies, and \(\Delta E_{\mathrm{rxn}} .\) (Hint: First draw a profile for step \(1 .\) Make it a very endothermic reaction, and remember that a slow reaction has a large value for \(E_{\mathrm{a}}\) Then draw a profile for step 2, using the line representing the step 1 products as the reactants line for step \(2 .\) Remember that a fast reaction has a small value for \(E_{\mathrm{a}}\). (b) What is the rate law for this reaction? (c) If you wanted to quadruple the rate of this reaction, by what factor would you have to increase the concentration of \(\mathrm{A}\) ?

Reactions go faster when heated. Astudent claims this is because as temperature increases, the activation energy \(E_{\mathrm{a}}\) for a reaction decreases. Is this student correct or incorrect? If incorrect, then explain what happens to \(E_{\mathrm{a}}\) upon heating a reaction.

Determine the value of \(k\) for a reaction for which: (a) The fraction of collisions having energy \(>E_{\mathrm{a}}\) is \(0.42\) and the fraction of collisions having the proper orientation is \(0.15\). (b) The fraction of collisions having energy \(>E_{\mathrm{a}}\) is \(0.42\) and the fraction of collisions having the proper orientation is \(0.30\). (c) The fraction of collisions having energy \(>E_{\mathrm{a}}\) is \(0.84\) and the fraction of collisions having the proper orientation is \(0.15\). (d) The fraction of collisions having energy \(>E_{\mathrm{a}}\) is \(0.84\) and the fraction of collisions having the proper orientation is \(0.30\).

Suppose a postulated mechanism does generate the experimental rate law, and when the elementary steps are added together, the balanced equation for the overall reaction is generated. What can you say about the postulated mechanism?

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