We have seen that at the high temperature limit, where the number of units of energy...

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We have seen that at the high temperature limit, where the number of units of energy is much greater than the number of degrees of freedom, the multiplicity of any system with only quadratic degrees of freedom is proportional to UNf/2, where Nf is the total number of degrees of freedom. Find an expression for the energy of such a system as a function of temperature, and comment on the result. How can you tell that the expression for the multiplicity cannot be valid when the total energy is very small (approaching 0)? We have seen that at the high temperature limit, where the number of units of energy is much greater than the number of degrees of freedom, the multiplicity of any system with only quadratic degrees of freedom is proportional to UNf/2, where Nf is the total number of degrees of freedom. Find an expression for the energy of such a system as a function of temperature, and comment on the result. How can you tell that the expression for the multiplicity cannot be valid when the total energy is very small (approaching 0)?