The statement that all substances expand by the same amount when their temperature increases is incorrect because the expansion is significantly affected by the arrangement and motion of particles within each state of matter (solid, liquid, and gas). As explained previously, the degree of expansion is directly related to the freedom of movement and the strength of intermolecular forces.
Solids have a fixed arrangement and strong intermolecular forces. While temperature increases cause vibrations, the particles cannot move far apart. This results in a minimal change in volume.
Liquids have particles that are close but can move past each other. Increased temperature allows for greater movement, leading to a noticeable expansion. However, the particles remain relatively close, resulting in less expansion than gases.
Gases have particles that are widely separated and move randomly. Increased temperature significantly increases their kinetic energy, causing them to move faster and collide more forcefully with each other and the container walls. This results in a substantial expansion of the gas.
Therefore, the different particle arrangements and the varying strength of intermolecular forces in solids, liquids, and gases lead to vastly different magnitudes of expansion for the same temperature increase. The student's statement fails to account for these fundamental differences.