Question

calculate the vibrational degrees of freedom and the total molar energy of H2C=CH2 using the principal of equipartional energy in terms of RT​

Answer 1

Explanation: The equipartition theorem, also known as the law of equipartition, equipartition of energy, or simply equipartition, states that every degree of freedom that appears only quadratically in the total energy has an average energy of  ½kBT  in thermal equilibrium and contributes  ½kB  to the system's heat capacity. Here,  kB is the Boltzmann constant, and T is the temperature in Kelvin. The law of equipartition of energy states that each quadratic term in the classical expression for the energy contributes ½kBT to the average energy. For instance, the motion of an atom has three degrees of freedom (number of ways of absorbing energy), corresponding to the x, y, and z components of its momentum. Since these momenta appear quadratically in the kinetic energy, every atom has an average kinetic energy of  3/2kBT  in thermal equilibrium. The number of degrees of freedom of a polyatomic gas molecule is  3N  where  N  is the number of atoms in the molecule. This is equal to the number of coordinates for the system; e.g. for two atoms, you would have x, y, z for each atom.