Sketching Maxwell Boltzmann Distributions Questions

Sketching Maxwell Boltzmann Distributions

Kinetics Worksheet

Factors Affecting Rate

A Maxwell Boltzmann distribution for the hydration of ethene is drawn on the axes below. The Y-axis is the number of reactant molecules. Copy it and sketch a new distribution to represent the change and explain what has happened to the rate of reaction.

Maxwell Boltzmann Initial Distribution
1. Increase the temperature.
Graph showing increased temperature
  • Particles move faster and have more energy.
  • The faster moving particles collide more frequently. You cannot see this on the distribution.
  • The increased energy of the particles can be seen on the distribution.
  • It increases the rate because the number of particles that have at least the activation energy has increased, increasing the proportion of collisions that are successful.
  • These combine to increase the frequency of successful collisions, resulting in a higher rate of reaction.
2. Double the number of molecules in the container.
Graph showing doubled molecules
  • Double the particles and double the energy results in the same distribution.
  • The same proportion of collisions are successful.
  • However, there are more particles, so more frequent collisions result in more frequent successful collisions.
3. Decrease the temperature.
Graph showing decreased temperature
  • Particles move slower and have less energy.
  • The slower moving particles collide less frequently. You cannot see this on the distribution.
  • The decreased energy of the particles can be seen on the distribution.
  • It decreases the rate because the number of particles that have at least the activation energy has decreased, decreasing the proportion of collisions that are successful.
  • These combine to decrease the frequency of successful collisions, resulting in a lower rate of reaction.
4. Add a catalyst.
Graph showing effect of catalyst
  • No impact on the energy of the molecules.
  • However, more particles have at least the activation energy (greater area under the curve to the right of Ea (cat) than Ea (uncat)).
  • This results in more frequent successful collisions.
5. Increase the volume of the container.
Graph showing increased volume
  • The volume of the container has no impact on the number of particles or the distribution of the energy.
  • However, the frequency of the collisions decreases (this cannot be seen in the MB distribution).
  • This results in a decreased frequency of successful collisions and therefore rate.
6. Wait some time.
Graph showing reaction over time
  • The reactants get used up over time so the area under the curve decreases.
  • Additionally, the temperature decreases due to the reaction being endothermic.
  • The average energy and most probable energy are lower.
  • These result in less frequent collisions and a lower proportion of the collisions having enough energy.
  • These result in a decrease in the frequency of successful collisions, resulting in a decrease in the rate.