Explain how the particle nature of matter helps us understand why a sugar cube dissolves faster in hot water than in cold water.

When sugar is added to water, the water particles move into the spaces between the sugar particles, and the sugar particles move into the spaces between the water particles. In hot water, the particles have more kinetic energy, meaning they move faster. This increased movement leads to a more rapid intermixing of sugar and water particles, resulting in faster dissolution.

The kinetic energy of particles increases with temperature. Faster-moving particles collide more frequently and with greater force, leading to a quicker breakdown of the sugar crystal structure and a more efficient distribution of sugar particles throughout the water.