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Chapter 14: Problem 28

Write the Arrhenius equation and define all terms.

Short Answer

Expert verified
The Arrhenius equation is given by \(k = Ae^{-Ea/RT}\), where 'k' is the rate constant, 'A' is the pre-exponential factor, 'Ea' is the activation energy, 'R' is the Universal gas constant, and 'T' is the absolute temperature.

Step by step solution

01

Write the Arrhenius Equation

Firstly, write down the Arrhenius equation itself. It is \(k = Ae^{-Ea/RT}\), in which k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the universal gas constant, and T is the temperature.
02

Define 'k'

'k' denotes the rate constant. It is the proportionality factor in the rate equation that indicates the relationship between the rate of a chemical reaction and the concentrations of reactants.
03

Define 'A'

'A' stands for the pre-exponential factor, also known as the frequency factor. It basically provides a measure of the frequency of the collisions in the correct orientation.
04

Define 'Ea'

'Ea' stands for the activation energy measured in J/mol. It is the minimum energy required to initiate a chemical reaction.
05

Define 'R'

'R' is the universal gas constant. In this equation it is usually given the value of 8.314 J/(mol • K).
06

Define 'T'

'T' represents the absolute temperature measured in Kelvin.

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Most popular questions from this chapter

How does a catalyst increase the rate of a reaction?

Explain why most metals used in catalysis are transition metals.

Consider the reaction $$ X+Y \longrightarrow Z $$ These data are obtained at \(360 \mathrm{~K}\): $$ \begin{aligned} &\text { Initial Rate of }\\\ &\begin{array}{ccc} \text { Disappearance of } \mathrm{X}(\mathrm{M} / \mathrm{s}) & {[\mathrm{X}]} & {[\mathrm{Y}]} \\ \hline 0.147 & 0.10 & 0.50 \\ 0.127 & 0.20 & 0.30 \\ 4.064 & 0.40 & 0.60 \\ 1.016 & 0.20 & 0.60 \\ 0.508 & 0.40 & 0.30 \end{array} \end{aligned} $$ (a) Determine the order of the reaction. (b) Determine the initial rate of disappearance of \(X\) when the concentration of \(\mathrm{X}\) is \(0.30 \mathrm{M}\) and that of \(\mathrm{Y}\) is \(0.40 \mathrm{M}\)

What are the advantages of measuring the initial rate of a reaction?

The reaction \(\mathrm{H}+\mathrm{H}_{2} \longrightarrow \mathrm{H}_{2}+\mathrm{H}\) has been studied for many years. Sketch a potential-energy-versusreaction-progress diagram for this reaction.
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