It is possible to make crystalline solids that are only

Solution 81P Step 1 of 3: (a) If the atoms in such a two-dimensional crystal can move only within the plane of the crystal, what will be its molar heat capacity near room temperature Give your answer as a multiple of R and in J / mol K The molar heat-capacity analysis for a two dimensional crystalline solid. The basis of Molar heat capacity analysis is that heat is energy in transit. When we add heat to a substance, we are increasing its molecular energy. From the kinetic theory, the molecular energy consists only of the translational kinetic energy of the molecules. Let us consider a crystal consisting of N identical atoms (a monatomic solid). Each atom is bound to an equilibrium position by interatomic forces. As atoms are only free to move along the plane; Each atom has two degrees of freedom, that is corresponding to its two components of velocity. As the number of velocity components needed to describe the motion of an atom or molecule completely is called the number of degrees of freedom.