In the scenario where gallium is melting in someone's hand, the most appropriate responses regarding the changes that will occur on a microscopic level are:
- The gallium atoms will increase in temperature.
- The gallium atoms will be moving faster on average.
- The gallium atoms will gain kinetic energy.
Since gallium is experiencing a phase change from solid to liquid due to the heat from the person's hand, the gallium atoms will indeed increase their temperature, move faster on average, and gain kinetic energy.
The statement about gaining potential energy as they move freely from each other is less relevant in this context, as the focus is on the kinetic energy related to the motion of the atoms during melting.