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Ch.14 - Chemical Kinetics
Chapter 14, Problem 102a

Consider the two reactions:
O + N2 → NO + N Ea = 315 kJ/mol
Cl + H2 → HCl + H Ea = 23 kJ/mol
a. Why is the activation barrier for the first reaction so much higher than that for the second?

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Activation Energy (E<sub>a</sub>)

Activation energy is the minimum energy required for a chemical reaction to occur. It represents the energy barrier that reactants must overcome to transform into products. A higher activation energy indicates that the reaction is less likely to occur at a given temperature, as fewer molecules will have sufficient energy to surpass this barrier.
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Reaction Mechanism

A reaction mechanism is a step-by-step description of the pathway taken during a chemical reaction. It includes the sequence of elementary steps that lead to the formation of products from reactants. The complexity of the mechanism can influence the activation energy, as more steps may involve higher energy transitions.
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Bond Strength and Stability

The strength of bonds in reactants and products affects the activation energy of a reaction. Stronger bonds require more energy to break, leading to higher activation energies. In the given reactions, the nature of the bonds formed and broken (e.g., O-N vs. Cl-H) contributes to the differences in activation barriers, as stronger bonds typically correlate with higher energy requirements.
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Related Practice
Textbook Question

The reaction 2 N2O5 → 2 N2O4 + O2 takes place at around room temperature in solvents such as CCl4. The rate constant at 293 K is found to be 2.35⨉10-4 s-1, and at 303 K the rate constant is found to be 9.15⨉10-4 s-1. Calculate the frequency factor for the reaction.

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Open Question
a. This reaction has an activation energy of zero in the gas phase: CH3 + CH3 → C2H6. b. Why might the activation energy be zero? c. What other types of reactions would you expect to have little or no activation energy?
Textbook Question

This reaction has an activation energy of zero in the gas phase: CH3 + CH3 → C2H6 a. Would you expect the rate of this reaction to change very much with temperature?

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Textbook Question

Consider the two reactions:

O + N2 → NO + N Ea = 315 kJ/mol

Cl + H2 → HCl + H Ea = 23 kJ/mol

b. The frequency factors for these two reactions are very close to each other in value. Assuming that they are the same, calculate the ratio of the reaction rate constants for these two reactions at 25 °C.

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Textbook Question

Anthropologists can estimate the age of a bone or other sample of organic matter by its carbon-14 content. The carbon-14 in a living organism is constant until the organism dies, after which carbon- 14 decays with first-order kinetics and a half-life of 5730 years. Suppose a bone from an ancient human contains 19.5% of the C-14 found in living organisms. How old is the bone?

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Open Question
How old is a rock that contains 83.2% of the amount of uranium-238 it contained when it was formed?