Question

what is temperature equilibrium? when some particles of matter are moving faster than others when particles of matter have reached an equal temperature the flow of energy from one particle to another

Explanation:

Temperature equilibrium occurs when particles of matter have reached an equal temperature. Temperature is related to the average kinetic energy of particles. When there is a temperature difference, heat (energy in the form of thermal energy) flows from the region of higher temperature (where particles have higher average kinetic energy) to the region of lower temperature (where particles have lower average kinetic energy). This flow continues until the average kinetic energies (and thus the temperatures) of the particles in the interacting systems are equal - this state is temperature equilibrium.

Answer:

When particles of matter have reached an equal temperature.