Which statement best describes the relationship between temperature and the kinetic energy of particles according to the kinetic molecular theory?
A
As temperature increases, the average kinetic energy of particles decreases.
B
As temperature increases, the average kinetic energy of particles increases.
C
Temperature and average kinetic energy of particles are unrelated.
D
As temperature decreases, the average kinetic energy of particles remains constant.
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1
Recall the kinetic molecular theory, which explains the behavior of particles in matter, particularly how their motion relates to temperature.
Understand that temperature is a measure of the average kinetic energy of the particles in a substance.
Recognize that as temperature increases, particles move faster because their kinetic energy increases.
Express this relationship mathematically: the average kinetic energy (KE) of particles is directly proportional to the absolute temperature (T) in kelvins, given by the formula \(\text{KE}_{\text{avg}} \propto T\) or \(\text{KE}_{\text{avg}} = \frac{3}{2} k_B T\), where \(k_B\) is the Boltzmann constant.
Conclude that an increase in temperature results in an increase in the average kinetic energy of particles, which aligns with the correct statement in the problem.