The kinetic energy of particles increases when the temperature of a substance increases. In the options provided, the scenario where the kinetic energy of particles would be increasing is:
- metal is heated from room temperature to 200°C
In this case, as the metal is heated, the particles gain energy and move more rapidly, which increases their kinetic energy.
In the other scenarios:
- Cooling the metal at 1,300°C would decrease the kinetic energy.
- Melting the metal at 1,300°C involves a phase change but can be associated with energy being absorbed for the phase transition (though the kinetic energy doesn't change during the transition itself).
- The metal at room temperature (37°C) does not have a change in temperature, so its kinetic energy remains constant.
Thus, the correct answer is the third option: metal is heated from room temperature to 200°C.