Maxwell Boltzmann Distribution Pogil Answer Key Extension Questions -

Extension questions often ask about the mathematical significance of the shaded area under the Maxwell-Boltzmann graph.

Before tackling the extensions, remember the key features of the Maxwell-Boltzmann (M-B) distribution curve:

What are the assumptions underlying the Maxwell-Boltzmann distribution? Answer: The assumptions are: (1) the gas molecules are point particles with no intermolecular forces, (2) the gas molecules are in constant random motion, and (3) the speed of each molecule is independent of its direction. Same shape, double the area under the curve

Same shape, double the area under the curve. Activation Energy ( Eacap E sub a ): The minimum speed/energy threshold for a reaction. Catalyst Effect: Moves the Eacap E sub a marker left, increasing the reacting population. Maxwell-Boltzmann Distributions in AP CHEM 15 - Studocu

A curve for a colder sample will have a higher, narrower peak shifted to the left. Explanation: Lower temperature decreases the average kinetic energy ( Maxwell-Boltzmann Distributions in AP CHEM 15 - Studocu

What is the equation for the Maxwell-Boltzmann distribution? Answer: f(v) = 4π (m / 2πkT)^(3/2) v^2 exp(-mv^2 / 2kT)

This explains why Helium escapes Earth’s atmosphere (it moves fast enough to reach escape velocity), but Xenon (a noble gas from nuclear decay) remains trapped. increasing the reacting population.

Theoretically, what would the distribution curve for particle speeds look like for any gas at absolute zero? Answer: At