An increase in the average kinetic energy of a sample of copper atoms occurs with an increase in

a. concentration
b. pressure
c. volume
d. temperautre

temperature - as you increase the temperature, the particles speed up... KE = 1/2 mv^2 so an increase in velocity will in turn increase KE.

Ffy

d. temperature

The increase in the average kinetic energy of a sample of copper atoms is primarily influenced by a change in temperature.

Here's how you can arrive at this answer:

1. Understand the average kinetic energy: The average kinetic energy is a measure of the motion or movement of particles in a substance. It depends on the speed, mass, and temperature of the particles.

2. Analyze the options given:
a. Concentration: Concentration refers to the amount of a substance present in a given volume. It does not directly impact the kinetic energy of particles.
b. Pressure: Pressure is a measure of the force applied over an area. While an increase in pressure might affect the behavior of atoms, it does not directly impact their kinetic energy.
c. Volume: Volume refers to the amount of space occupied by a substance. Changes in volume might influence the pressure and density of a substance, but they do not directly affect the kinetic energy of individual particles.
d. Temperature: Temperature is a measure of the average kinetic energy of particles. When the temperature increases, the average kinetic energy of the particles in a substance also increases. Therefore, an increase in temperature is directly associated with an increase in the average kinetic energy of a sample of copper atoms.

So, the correct answer is d. temperature.