1. Approach to equilibrium: A box contains N molecules. Let n(t) be the number of molecules, as a function of time, in the left half of the box; the number in the right half is N n(t). A partition with a small hole separates the left half from the right half. At each time step dt, one molecule moves across the hole. The probability that a molecule moves from left to right is p = n(t)/N, while that to move from right to left is 1 p. Assume that n(t = 0) = N = 400, that is, at t = 0, all the 400 molecules are in the left half. Simulate the approach to equilibrium by plotting n as a function of t in the interval [0, 10000*dt]. To decide what happens at each time step dt, generate a random number r between 0 and 1; if r < n/N, a molecule moves from the left half to the right half, otherwise a molecule moves from right to left. [approach this problem using python code]