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Statistical Mechanics: The Heat Capacity of a Solid (a) The Debye temperature #D can be determined from measurements of the speed of sound in the solid. Use Equation (16.10) to show that he 3N 1/3 0D = where 091 # + (b) Show that 1/3 Op(K) = 2.51 X 10 2 P C, where is the density in kg/m^3, M is the molecular weight, and c is the sound speed in m/s. For copper, P = 8.95 x 10*3 kg/m^3, M = 63.6, and c = 2.24 X 10 3 m/s. Calculate the Debye temperature D .Part 1 Requirements: 1. You are required to show at not more than 1 page a. Calculation and explanation of how you derive the depreciation expense and COGS. b. Explanation of whether My Brain is using Perpetual or Periodic inventory system. c. We will name this document "Explanation". 2. You are required to enter ALL the transactions into the accounting software including any balance day adjustments and entries for COGS and ending inventory. 3. Set up the accounts with the proper account ID in Wave Accounting Software. 3. Print out the Explanation, Trial Balance as at 31 July 2020, Balance Sheet as at 31 July 2020, Profit and Loss Statement and Account Transactions Report for the period of 31 July 2020 to be uploaded to Moodle for your submission.Problem 8 [MATLAB exercise] The MA'I'LAB function 'randn' is designed to generate samples of a random variable, say X , which is governed by a unit-Gaussian p.d.f. (i.e., a Gaussian p.d.f. with px = 0 and a} = 1). In this exercise, we will investigate the ability of the routine to generate truly Gaussian samples. (a) Let X be a unit-Gaussian random variable. Using pencil and paper, compute P(0 S X S 0.5) and P(0.9 S X g 1). (b) Use the MATLAB function randn to generate 1000 samples of a unit-Gaussian random variable Let's call the vector X. (c) Use the MATLAB function 'histogram' to create a histogram of the values in X with a bin width of 0.05. ((1) Plot the histogram and comment on the approximation to a unit-Gaussian p.d.f. (9) Use the histogram data to estimate the two probabilities computed in part (a). For example, No. samples in the bin covering the range 0 S X