Which of the following properties is NOT peculiar to matter?

Step-by-step reasoning:

• Kinetic energy of particles increases from solid to gas → True, because heating from solid → liquid → gas increases particle motion and energy.
• Random motion of particles increases from liquid to gas → True, since gases have more freedom of movement than liquids.
• Random motion of particles increases from gas to solid → False, because solids have the least random motion (particles vibrate in fixed positions), while gases have the most random motion.
• Orderliness of particles increases from gas to liquid → True, because gases are highly disordered, while liquids have more short-range order.

Final Answer: The property that is NOT peculiar to matter is:
Random motion of particles increases from gas to solid.