Maxwell Boltzmann Distribution Pogil Answer Key Extension Questions |verified| – Validated & Tested
This is the velocity shared by the largest single fraction of molecules. Formula: Average Speed ( vavgv sub a v g end-sub Definition: The mathematical mean speed of all particles.
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The extension questions in the Maxwell-Boltzmann Distribution POGIL activity challenge students to apply kinetic molecular theory to complex scenarios like absolute zero, changing moles of gas, and activation energy in chemical reactions. Extension Question 1: Theoretical Absolute Zero
Students must perform a qualitative calculation to see the exponential effect. This is the velocity shared by the largest
): This is the Boltzmann factor, which shows that as kinetic energy increases, the probability of finding a molecule with that energy drops off sharply. Key Concepts in Extension Questions 1. Comparing Vmpcap V sub m p end-sub Vavgcap V sub a v g end-sub Vrmscap V sub r m s end-sub
Heating or cooling a gas changes how fast the individual molecules move, but it cannot create or destroy matter. Therefore, if the curve gets wider at high temperatures, it must get shorter to keep the total area identical. Connecting the Curve to Activation Energy ( Eacap E sub a
One of the most common extension questions asks students to analyze how temperature affects a chemical reaction's rate using the Maxwell-Boltzmann distribution. Raising the temperature adds kinetic energy to the system, causing the distribution curve to flatten and broaden, shift to the right, and peak at a lower height. The table below provides a side-by-side comparison of gas particles at low and high temperatures, based on the POGIL model: This link or copies made by others cannot be deleted
Convert any Celsius temperatures immediately by adding 273.15273.15 Pick the Right Gas Constant: Use
Explain how temperature, molar mass, and activation energy affect the distribution of molecular speeds in a gas, and predict changes in reaction rates.
Increasing the temperature of a gas sample has a predictable and profound effect on the Maxwell-Boltzmann distribution curve: Try again later
Even though the temperature increased by only 100K, the reaction rate is 150 times faster . The M-B extension question forces students to realize that kinetic energy distributions are mercilessly exponential.
: The "curve" would not be a curve at all, as there is no variation in speed; 100% of particles would be at 2. Doubling the Moles of Gas
The extension questions in the Maxwell-Boltzmann Distribution POGIL typically focus on the mathematical relationships between temperature, molar mass, and molecular speed.
