Final answer:
The collisions between gas particles are completely elastic, and the average kinetic energy of gas particles is proportional to their temperature.
Step-by-step explanation:
The statement "The collisions of particles with one another are completely elastic" aligns with the principles of the kinetic molecular theory, emphasizing that in a gas, particles undergo elastic collisions, conserving kinetic energy. Additionally, the statement "The average kinetic energy of gas particles is proportional to their temperature" signifies a fundamental aspect, stating that as temperature rises, the average kinetic energy of gas particles increases. These principles underpin the understanding of gas behavior, emphasizing elastic interactions and the direct relationship between kinetic energy and temperature in the molecular context.