Compute the internal energy and entropy of a system consisting of N atoms that each have two nondegenerate energy levels.

Please see the attached file.

Compute the internal energy, Helmholtz free energy and heat capacity of a system of N classical harmonic oscillators and of a system of N quantum harmonic oscillators.

Please see the attached file.

How far will a DNA molecule unzip as a function of temperature?

Please see the attached file.

Statistical Physics

Please see the attached file: Note only the energies associated with the unzipping have to be considered in the partition function; any energies from the bending, stretching, etc. of the molecule can be ignored. A toy model for DNA molecules. A DNA molecule is made of two complementary strands, which are hold together by hydrogen bonds. A very simple model of a DNA molecule is that of a zipper which has N links; each link has a state in which it is closed with energy 0 and a state in which it is open with energy e. We require that the zipper only unzip from one side( say from the left) and the link can only open if all the links to the left of it (1, 2, ..., n-1) are already open. a. ... click for more

Estimate the speed of a galaxy that is 10 billion light-years away.

Estimate the speed of a galaxy that is 10 billion light-years away. The correct answer is .5c. Can someone show me how it was calculated?