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Ch.14 - Chemical Kinetics
Tro - Chemistry: A Molecular Approach 4th Edition
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831당신이 사용하는 게 아니라요?교과서 변경
14장, 문제 101

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?

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Understand that activation energy is the minimum energy required for a reaction to occur. In this case, the reaction CH₃ + CH₃ → C₂H₆ has an activation energy of zero, meaning it can proceed without any additional energy input.
Consider why the activation energy might be zero. In this reaction, two methyl radicals (CH₃) are combining to form ethane (C₂H₆). Since radicals are highly reactive due to unpaired electrons, they can readily combine without needing extra energy to overcome an energy barrier.
Reflect on the nature of radical reactions. Radical reactions often have low or zero activation energy because radicals are very reactive species that can easily form bonds with other radicals or molecules.
Think about other types of reactions that might have little or no activation energy. Reactions involving highly reactive species, such as radicals or ions, often have low activation energies because these species are eager to react and form more stable products.
Consider the implications of zero activation energy. Reactions with zero activation energy can occur spontaneously at any temperature, as there is no energy barrier to overcome. This can lead to rapid reaction rates under the right conditions.

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Activation Energy

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. In reactions with low or zero activation energy, the reactants can easily collide and react, leading to faster reaction rates. Understanding activation energy is crucial for predicting reaction feasibility and kinetics.
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Activity Series Chart

Gas Phase Reactions

Gas phase reactions occur when reactants are in the gaseous state, allowing for greater molecular mobility and collision frequency. In this state, the absence of solvent interactions can lead to unique reaction dynamics, including lower activation energies. The reaction between two methyl radicals (CH3) to form ethane (C2H6) exemplifies how gas phase conditions can facilitate reactions with minimal energy barriers.
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Phase Changes in Diagrams

Reactions with Low Activation Energy

Certain reactions, such as those involving radical species or highly reactive intermediates, can exhibit low or zero activation energy. These include some combustion reactions and radical recombination processes. Such reactions often proceed rapidly at room temperature due to the high energy of the reactants or the stability of the transition state, making them significant in various chemical and industrial processes.
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Activity Series Chart
관련 실천
교과서 질문

The kinetics of this reaction were studied as a function of temperature. (The reaction is first order in each reactant and second order overall.)

C2H5Br(aq) + OH- (aq) → C2H5OH(l) + Br- (aq)

Temperature (°C) k (L,mol •s)

25 8.81⨉10-5

35 0.000285

45 0.000854

55 0.00239

65 0.00633

b. Determine the rate constant at 15 °C.

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교과서 질문

The kinetics of this reaction were studied as a function of temperature. (The reaction is first order in each reactant and second order overall.)

C2H5Br(aq) + OH- (aq) → C2H5OH(l) + Br- (aq)

Temperature (°C) k (L,mol •s)

25 8.81⨉10-5

35 0.000285

45 0.000854

55 0.00239

65 0.00633

c. If a reaction mixture is 0.155 M in C2H5Brand 0.250 M in OH-, what is the initial rate of the reaction at 75 °C?

교과서 질문

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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교과서 질문

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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교과서 질문

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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교과서 질문

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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