Question

consider the observations of the gas particles you made regarding temperature and wall collisions in the simulation.

use the drop-down menus to complete the sentences correctly.

when increasing the internal temperature of the container, the number of wall collisions dropdown due to this observed relationship, these variables are considered to have a dropdown correlation.

Explanation:

Analyze temperature and particle speed

Using the Kinetic Molecular Theory knowledge point

$$ E_k = \frac{3}{2} k_B T $$

An increase in temperature increases the average kinetic energy and speed of the gas particles.

Determine wall collision frequency

Using the Wall Collisions knowledge point

$$ Z = \frac{N}{V} A \sqrt{\frac{k_B T}{2 \pi m}} $$

Faster-moving particles travel across the container quicker, leading to more frequent collisions with the container walls. Thus, the number of wall collisions increases.

Identify the correlation type

Using the Kinetic Molecular Theory and Wall Collisions knowledge points
Since both variables (temperature and number of wall collisions) increase together, they have a direct (or positive) correlation.

Answer:

When increasing the internal temperature of the container, the number of wall collisions <blank>increases</blank>. Due to this observed relationship, these variables are considered to have a <blank>direct</blank> correlation.