if you add 100mL of water at 20 degree celisus to 200mL of water at 20 degree celisus what does the thermal energy do for the combined mixture?

To determine what happens to the thermal energy when two bodies of water at the same temperature are combined, you need to understand the concept of thermal equilibrium.

When you combine two bodies of water at the same temperature, they are already in thermal equilibrium. This means that there is no net transfer of thermal energy between them, as they have the same average kinetic energy (temperature).

In this case, if you add 100mL of water at 20 degrees Celsius to 200mL of water at 20 degrees Celsius, the thermal energy simply remains unchanged. The water molecules in both bodies will continue to vibrate and move randomly with the same intensity, maintaining their initial temperature.

Therefore, the thermal energy of the combined mixture will remain the same as the individual bodies of water before they were combined.

Some of the thermal energy from the hotter liquid is transferred to the colder liquid, until an intermediate equilbrium temperaure is reached, at about 13.3 degrees.