70 60 50 40 g(E) 30 20 Problem 2. (3 points) chapter 3 The number of states of a particle in a cubical box, as a function of energy, is discussed in chapter 3. Equation 3.39 for the density of states W(E) is best for large n or ε. w(ε)=QIe, where ε.-hz18maz); a is the length of a box edge. This problem explores Ω and S numerically for the 17566 lowest-energy states. Degeneracy, g(E), is graphed at right. From g, Ω was calculated as follows: E was divided into 16 bins of equal width. Within each bin, Ω was set equal to the sum of g. Resulting E and Ω values are in the spreadsheet "OmegaOfE.csv". *亦 å é é 祥å¢è¼é¶å° F é¶é¶å®é¿ ç®æç¨ *å¸å¸æ 0 200 400 600 800 1000 1200 E in units of h 2/(8 ma2) cSV a. Open the spreadsheet. Graph Ω versus E. Fit a power law ( -a(EE0)b ) to the data. (Adding and formatting a trendline will suffice.) b. Comment on the relationship between equation 3.39 and the power law you obtained. c. From your power law, write the formula for entropy, S. Then calculate T at E-510eo. (Note equations 2. 1 1 and 2.24.) Use 1.32x10-22 J