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Ch.14 - Chemical Kinetics
Chapter 14, Problem 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?

Verified step by step guidance
1
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.
Related Practice
Textbook Question

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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Textbook Question

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?

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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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

a. Why is the activation barrier for the first reaction so much higher than that for the second?

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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.

689
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