Kinetic energy of particles in a substance increases as the temperature increases, which corresponds to the average speed of the particles rising.
Let's analyze each option:
A. Metal is at room temperature, 37 degrees Celsius - The kinetic energy is stable, as the temperature is constant.
B. Metal is melted at 1300 degrees Celsius - This process involves a change of state (solid to liquid) and while the energy is used to overcome intermolecular forces, the average kinetic energy does not increase until the phase change is complete.
C. Metal is cooled at 1300 degrees Celsius - The kinetic energy of particles decreases as the temperature decreases.
D. Metal is heated from room temperature to 200 degrees Celsius - This increase in temperature leads to an increase in the average kinetic energy of the particles.
Based on these analyses, the case where the kinetic energy of particles is increasing is:
D. Metal is heated from room temperature to 200 degrees Celsius.