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(a) Let the total number of oscillators in the aluminum blocks be s00 (approximately 167 atoms). In your program, make block 1 have 150 oscillators (50 atoms), and make block 2 have 350 oscillators (approximately 116 atoms). The total energy in the two blocks is 100 quanta. On your graph, what are the numerical values of q1 and q2 where the temperature curves for the two blocks cross (that is where the temperatures are equal)? For this to be physically meaningful, it is necessary that the curve for block 2 goes from right to left, as was the case in Problem 12.P.71. That is, use q2 = qtot - 91 to calculate T2, but plot T2 vs. q1, not T2 vs. 42, so that at a particular value of q, you've correctly plotted the temperature of each block. 92 (b) Together, the two blocks contain 500 oscillators. What percentage of the total oscillators are in block 17 What percentage of the total oscillators are in block 27

(a) Let the total number of oscillators in the aluminum blocks be s00 (approximately 167 atoms). In your program, make block 1 have 150 oscillators (50 atoms), and make block 2 have 350 oscillators (approximately 116 atoms). The total energy in the two blocks is 100 quanta. On your graph, what are the numerical values of q1 and q2 where the temperature curves for the two blocks cross (that is where the temperatures are equal)? For this to be physically meaningful, it is necessary that the curve for block 2 goes from right to left, as was the case in Problem 12.P.71. That is, use q2 = qtot - 91 to calculate T2, but plot T2 vs. q1, not T2 vs. 42, so that at a particular value of q, you've correctly plotted the temperature of each block. 92 (b) Together, the two blocks contain 500 oscillators. What percentage of the total oscillators are in block 17 What percentage of the total oscillators are in block 27

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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In order to plot the temperature in kelvins, you must determine the values of AF and AS that correspond to a one-quantum change in energy. Consider the model we are using. The energy of one quantum, in joules, is AE = A(k/m)!/2, The increment in entropy corresponding to this increment in energy is AS = kA(inN). Assume that the blocks are made of aluminum. In Chapter 4, you made an estimate of the interatomic spring constant k, for aluminum (16 N/m). We show later, on page 490, that the effective k, for oscillations in the Einstein solid is expected to be about 4 times the value obtained from measuring Young's modulus. (a) Let the total number of oscillators in the aluminum blocks be s00 (approximately 167 atoms). In your program, make block 1 have 150 oscillators (50 atoms), and make block 2 have 350 oscillators (approximately 116 atoms). The total energy in the two blocks is 100 quanta. On your graph, what are the numerical values of q1 and q2 where the temperature curves for the two blocks cross (that is, where the temperatures are equal)? For this to be physically meaningful, it is necessary that the curve for block 2 goes from right to left, as was the case in Problem 12.P.71. That is, use q2 = Qtot - 91 to calculate T2, but plot T2 vs. q1, not T2 vs. 42, so that at a particular value of q,, you've correctly plotted the temperature of each block. 92 (b) Together, the two blocks contain 500 oscillators. What percentage of the total oscillators are in block 17 What percentage of the total oscillators are in block 27 (c) Based on these observations, which of these statements is true? When the temperatures reach the samevae, the smoner UIOA o ergy per atom than the bigger block.
Transcribed Image Text:In order to plot the temperature in kelvins, you must determine the values of AF and AS that correspond to a one-quantum change in energy. Consider the model we are using. The energy of one quantum, in joules, is AE = A(k/m)!/2, The increment in entropy corresponding to this increment in energy is AS = kA(inN). Assume that the blocks are made of aluminum. In Chapter 4, you made an estimate of the interatomic spring constant k, for aluminum (16 N/m). We show later, on page 490, that the effective k, for oscillations in the Einstein solid is expected to be about 4 times the value obtained from measuring Young's modulus. (a) Let the total number of oscillators in the aluminum blocks be s00 (approximately 167 atoms). In your program, make block 1 have 150 oscillators (50 atoms), and make block 2 have 350 oscillators (approximately 116 atoms). The total energy in the two blocks is 100 quanta. On your graph, what are the numerical values of q1 and q2 where the temperature curves for the two blocks cross (that is, where the temperatures are equal)? For this to be physically meaningful, it is necessary that the curve for block 2 goes from right to left, as was the case in Problem 12.P.71. That is, use q2 = Qtot - 91 to calculate T2, but plot T2 vs. q1, not T2 vs. 42, so that at a particular value of q,, you've correctly plotted the temperature of each block. 92 (b) Together, the two blocks contain 500 oscillators. What percentage of the total oscillators are in block 17 What percentage of the total oscillators are in block 27 (c) Based on these observations, which of these statements is true? When the temperatures reach the samevae, the smoner UIOA o ergy per atom than the bigger block.
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