as kelvin temperature increases, the average kinetic energy of the particles in a sample
1.Increase
2.Decrease
3.Remains the same
Does it make sense that increasing T provides more energy to the particles?
The average kinetic energy of particles in a sample increases as the Kelvin temperature increases. This can be explained by the kinetic theory of gases.
The kinetic theory states that the temperature of a gas is directly proportional to the average kinetic energy of its particles. As the temperature increases, the particles gain more energy and move faster. This increased energy is reflected in their kinetic energy, which is the energy associated with their motion.
To understand this concept quantitatively, we can use the equation of kinetic energy: KE = (1/2)mv^2, where KE is the kinetic energy, m is the mass of the particle, and v is its velocity.
In this equation, both mass and velocity contribute to the kinetic energy. As temperature increases, the average velocity of the particles increases due to their increased energy. Since velocity is squared in the formula, even a small increase in velocity results in a significant increase in kinetic energy.
To summarize, as the Kelvin temperature increases, the average kinetic energy of the particles in a sample increases. This is because temperature directly affects the average velocity of the particles, which in turn increases their kinetic energy.