Questions: Question number 19 According to the Kinetic Molecular Theory, if the temperature increases, the kinetic energy - Does not change - Decreases - Increases

Question number 19 According to the Kinetic Molecular Theory, if the temperature increases, the kinetic energy

- Does not change
- Decreases
- Increases

Transcript text: Question number 19 According to the Kinetic Molecular Theory, if the temperature increases, the kinetic energy $\qquad$ Does not change Decreases Increases

Solution

Solution Steps

Step 1: Understanding the Kinetic Molecular Theory

The Kinetic Molecular Theory (KMT) explains the behavior of gases in terms of the motion of their particles. According to this theory, the temperature of a gas is directly related to the average kinetic energy of its particles.

Step 2: Relationship Between Temperature and Kinetic Energy

The average kinetic energy of gas particles is given by the equation:

\[ KE_{\text{avg}} = \frac{3}{2} k T \]

where $ KE_{\text{avg}} $ is the average kinetic energy, $ k $ is the Boltzmann constant, and $ T $ is the absolute temperature in Kelvin. This equation shows that the average kinetic energy is directly proportional to the temperature.

Step 3: Analyzing the Effect of Temperature Increase

From the equation above, if the temperature $ T $ increases, the average kinetic energy $ KE_{\text{avg}} $ also increases. This is because they are directly proportional to each other.