8. Consider a discrete source with an alphabet A = {a1, a2, … , a̟}, Compute the entropy of the source for the following two cases: (a) The source is uniformly distributed with p(a1) =,lE [1, ……· , L] (b) For a particular k e [1, ,L], p(ar) = 1 and p(a1) = 0,l± k ...

8. Consider a discrete source with an alphabet A = {a1, a2, … , a̟}, Compute the entropy of the source for the following two cases: (a) The source is uniformly distributed with p(a1) =,lE [1, ……· , L] (b) For a particular k e [1, ,L], p(ar) = 1 and p(a1) = 0,l± k ...

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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For each system listed in the first column of the table below, decide (if possible) whether the change described in the second column will increase the entropy S of the system, decrease S, or leave S unchanged. If you don't have enough information to decide, check the "not enough information" button in the last column.
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Beginning from the Clausius inequality, derive for us several (two or more) units of entropy
E The Carnot cycle, which is a particular example of a thermodynamic cycle, allows determining the efficiency of a "heat-to-work" engine. Clausius used this to find the macroscopic definition of entropy as the heat change of the system at a particular temperature. Th and T are the high and low qh and q for the heats transferred at these temperatures. When plotted in a T-S temperatures and representation, entropy only changes in the processes (steps) where heat is added or removed. However, when plotting the Carnot cycle in the P-V representation it is clear that work is done (on or by) the system in each of the 4 processes of the cycle. a) Give the names of the 2 processes of the Carnot cycle (an engine) in which the surroundings do work on the system. Indicate the condition(s) of the walls for these processes. b) Consider the microscopic, i.e., Boltzmann's, definition of entropy for an ideal gas. Briefly discuss what needs to be satisfied so that there is no change of entropy during a…
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