Question

Difficulty: MediumRate of Reaction and Collision Theory

In a bimolecular gas-phase reaction between nitrogen monoxide (NO\text{NO}) and ozone (O3\text{O}_3), collision theory states that molecules must collide with appropriate orientation and sufficient energy. Which of the following best explains why increasing the partial pressure of NO\text{NO} increases the overall rate of product formation at constant temperature?

  1. A
    It increases the average kinetic energy of the reacting gas molecules.
  2. B
    It lowers the activation energy barrier required for successful chemical transformation.
  3. It increases the collision frequency per unit volume, leading to a greater number of effective collisions per unit time.Answer
  4. D
    It increases the proportion of colliding molecules that possess energy greater than or equal to the activation energy.

Answer

Increasing the partial pressure increases the collision frequency per unit volume, leading to a greater number of effective collisions per unit time.
Increasing the partial pressure of a gaseous reactant increases its concentration (number of molecules per unit volume). According to collision theory, a higher concentration increases the total collision frequency. Because the fraction of fruitful collisions (determined by kinetic energy and orientation) stays constant at fixed temperature, a greater total number of collisions produces a higher rate of effective collisions per second.

Step-by-Step Solution

1
Analyze the effect of increasing partial pressure on molecular density
Higher partial pressure means more reactant molecules per unit volume (increased concentration).
According to the ideal gas law, pressure is directly proportional to concentration at constant temperature.
2
Relate molecular density to collision frequency
More molecules per unit volume lead to more total collisions occurring per unit time.
Collision frequency is proportional to the concentration of reacting species.
3
Evaluate the rate of effective collisions and distinguish from temperature effects
While the fraction of effective collisions remains constant (since kinetic energy and temperature do not change), the absolute count of effective collisions per unit time increases.
Rate of reaction = (Total collision frequency) × (Fraction of effective collisions).

Key Concept

Collision Theory and Reactant Concentration/Pressure Effects
Estimated Time:1m 15s
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