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Maxwell Boltzmann Distribution Pogil Answer Key Extension Questions

“Using a Maxwell-Boltzmann distribution graph, explain why a modest

: 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

: Instead of a broad distribution, the curve would be a single vertical line (or "spike") at the origin

The Maxwell-Boltzmann distribution is a fundamental aspect of the kinetic theory of gases, which describes the behavior of gases in terms of the motion of their molecules.

mole. Describe how this might change the gas sample behavior. Describe how this might change the gas sample behavior

A significant fraction of these light gas molecules exceed Earth's escape velocity and leak into space over time. Heavy gases like O2cap O sub 2 N2cap N sub 2

: At absolute zero, all molecular motion theoretically stops; therefore, every particle has a speed of Doubling the Moles (1 mole vs. 2 moles)

) —the minimum energy required for a collision to result in a reaction. Only the area under the curve to the right of this line represents molecules capable of reacting.

*, the extension questions typically focus on theoretical limits, molar shifts, and chemical kinetics applications. Khan Academy Extension Question Answer Key Distribution at Absolute Zero ( : The curve would appear as a single vertical line at 2 moles) ) —the minimum energy required for

Rank ( v_mp ) (most probable), ( v_avg ) (average), and ( v_rms ) (root-mean-square) in order of magnitude. Which changes most with temperature?

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

: The curve for 2 moles would have the same shape and peak position as the 1 mole curve, but it would be twice as tall at every point, doubling the total area. Extension Question 3: Catalysts and Activation Energy

Temperature must always be converted to Kelvin ( ) for any underlying gas law calculations. As temperature increases

The mean free path (average distance between collisions) decreases because the gas is more dense, increasing the frequency of particle-particle collisions. 31. Raising Temperature and Reaction Rates

3.1.2: Maxwell-Boltzmann Distributions - Chemistry LibreTexts

As temperature increases, what happens to the height of the peak and its position on the x-axis? As temperature increases, the peak (the most probable speed ) shifts to the (higher velocity). Simultaneously, the height of the peak (flattens). Reasoning:

The is the average distance a gas molecule travels between successive collisions with another molecule. It describes how "crowded" the environment is from the perspective of a single particle.

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