Final answer:
Heating the air in the student's kitchen does not change the number of particles; it only causes the particles to move more rapidly and spread out, making the air less dense. The total number of particles remains constant due to the law of conservation of mass.
Step-by-step explanation:
The correct answer to the question of whether there are more or fewer particles in the air after heating in the student's kitchen is c) The number of particles in the air does not change. When air is heated, it becomes less dense because the particles move more rapidly and spread out, but the total number of particles remains constant. This concept is related to the ideal gas law in physics, which shows that the volume of a gas increases with temperature if the number of particles and the pressure remain constant. Additionally, the law of conservation of mass tells us that mass cannot be created or destroyed in an isolated system, which implies that the total number of air particles in the kitchen doesn't change just from heating.