A common pair-wise intermolecular potential is the Lennard-Jones potential, which is given by

φ=4a((σ/r)12-(σ/r)6). Here a and σ are constants and r is the distance between the two molecules.

1. How much work is required to seperate two molecules bound by a Lennard Jones potential?

2. Estimate the equilibrium density of a fluid whose intermolecular potential can be described by the Lennard-Jones potential. For simplicity, assume that molecules in the fluid are arranged at the vertices of a cube (cube lattice), and that these cubes are stacked together in a regular 3-D arrangement.