when K temperature increases, the average kinetic energy of the particles in a sample do?
http://www.jiskha.com/display.cgi?id=1284506624
When the temperature, represented by K (Kelvin), increases, the average kinetic energy of the particles in a sample also increases. This is because temperature is directly related to the average kinetic energy of particles.
To understand this relationship, let's look at the basics of kinetic theory. According to kinetic theory, the temperature of a substance is a measure of the average kinetic energy of its particles. Kinetic energy is the energy possessed by an object due to its motion.
Now, to derive the relationship between temperature and average kinetic energy, we can use the formula for kinetic energy:
Kinetic energy (KE) = (1/2) * mass * velocity^2
Since temperature is a measure of average kinetic energy, it can be represented as:
Temperature (T) = (1/2) * mass * average velocity^2
From here, we can see that the temperature of a substance is directly proportional to the average velocity squared of its particles. As temperature increases, the average kinetic energy and, consequently, the average velocity of the particles increases.
Therefore, it can be concluded that when the temperature (K) increases, the average kinetic energy of the particles in a sample also increases.