A system has 7 energy levels (0,1,6) with equidistant spacing of =1kJmol1. (a) In a single Excel graph, plot the population probabilities pi of all levels for the temperatures T=3K,300K, and 6000K. (energy on the x-axis, probability on the y-axis) Note that: 3K temperature of deep space 300K "room temperature" 6000K surface temperature of the sun. (b) Determine the value of the partition function for each temperature. (c) Assuming the system contains 3 moles of molecules, determine the number of molecules (moles) that are in the ground state at each temperature. (d) Plot the partition function q as a function of temperature between 3K and 6000K. Use at least 100 data points