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The Maxwell-Boltzmann distribution is a fundamental principle in kinetic theory, describing how gas particles' energies are distributed. It reveals the most probable, average, and median energy levels, and how temperature and catalysts influence reaction rates. Understanding this distribution is key to predicting chemical kinetics and the behavior of particles in gaseous systems.
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The Maxwell-Boltzmann distribution predicts the spread of energies among molecules in an ideal gas
Peak, Mean, Median Energies
The peak, mean, and median energies on the distribution curve represent the most probable, average, and median energy levels of gas particles, respectively
Activation Energy (Ea)
The activation energy is the minimum energy required for reactant molecules to undergo a chemical reaction and is represented by the area under the curve to the right of Ea
As temperature increases, the distribution curve flattens and shifts towards higher energies, indicating an increase in average kinetic energy and a higher number of particles with energies exceeding the activation energy, resulting in a higher reaction rate
Catalysts provide an alternative reaction pathway with a lower activation energy, allowing a larger proportion of particles to have the required energy to react
The presence of a catalyst increases the reaction rate without altering temperature or kinetic energy of particles
An increase in concentration leads to a higher probability of collisions and reactions, resulting in a higher reaction rate
While the shape of the distribution curve remains the same, the total number of particles with energy greater than the activation energy increases, affecting the likelihood of reaction occurrences