According to the kinetic molecular theory, how does changing the temperature affect the average kinetic energy of gas molecules?
A
Increasing the temperature increases the average kinetic energy, while decreasing the temperature decreases it.
B
Increasing the temperature decreases the average kinetic energy, while decreasing the temperature increases it.
C
Temperature changes do not affect the average kinetic energy of gas molecules.
D
The average kinetic energy of gas molecules remains constant regardless of temperature.
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1
Recall the kinetic molecular theory, which states that the average kinetic energy of gas molecules is directly proportional to the absolute temperature (measured in Kelvin).
Express this relationship mathematically as: \(\text{KE}_{\text{avg}} = \frac{3}{2} k_B T\), where \(k_B\) is the Boltzmann constant and \(T\) is the absolute temperature.
Understand that when the temperature increases, the value of \(T\) increases, which causes the average kinetic energy \(\text{KE}_{\text{avg}}\) to increase proportionally.
Similarly, when the temperature decreases, the value of \(T\) decreases, leading to a proportional decrease in the average kinetic energy of the gas molecules.
Conclude that temperature changes directly affect the average kinetic energy of gas molecules: increasing temperature increases kinetic energy, and decreasing temperature decreases kinetic energy.