The Kinetic Molecular Theory. The Kinetic Molecular Theory The Kinetic Molecular Theory Postulates The experimental observations about the behavior of gases discussed so far can be explained with a simple theoretical model known as the kinetic molecular theory. This theory is based on the following postulates, or assumptions. Gases are composed of a large number of particles that behave like hard, spherical objects in a state of constant, random motion. These particles move in a straight line until they collide with another particle or the walls of the container. These particles are much smaller than the distance between particles. The assumptions behind the kinetic molecular theory can be illustrated with the apparatus shown in the figure below, which consists of a glass plate surrounded by walls mounted on top of three vibrating motors. When the motors are turned on, the glass plate vibrates, which makes the ball bearings move in a constant, random fashion (postulate 1).
KE = 1/2 mv2 The Link Between P and n. Www.qmg700.com/quadinfo/Literature/QMG 421 Bach LANL crimped capillary leaks.pdf. Circle packing theorem. Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. Circle packing theorem: For every connected simple planar graph G there is a circle packing in the plane whose intersection graph is (isomorphic to) G. A uniqueness statement[edit] A graph G is triangulated planar if it is planar and every connected component of the complement of the embedding of G in the sphere has precisely three edges on its boundary, or in other words, if G is the 1-skeleton of a simplicial complex which is homeomorphic to the sphere. Any triangulated planar graph G is connected and simple, so the circle packing theorem guarantees the existence of a circle packing whose intersection graph is (isomorphic to) G. Such a G must also be finite, so its packing will have a finite number of circles.
Thurston[1] observes that this uniqueness is a consequence of the Mostow rigidity theorem. Generalizations of the circle packing theorem[edit] in the plane such that if and only if. Circle packing in a circle.
Gas Sensors. Heating element. Collaberative. Consultant. Lab equipment.