The relationship between the amount of space between particles and the state of matter is that if the distance between the particles is very very less or closely packed) then it said to be a solid , If the distance between the particles is very less (more than that of solid) then the matter is a liquid & If the distance between the particles is less (more than that of liquid) then it is said to be gaseous. By this we conclude that when the amount of space between the particles varies then the states of matter (Solid , Liquid , Gas) also differs.