Lecture-11_HW4_Review - T hermodynamics in M aterials...

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Thermodynamics in Materials Engineering Mat E 212 - Course Notes R. E. Napolitano Iowa State University More on Entropy Review of Homework #4
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Mat E 212 - Thermodynamics in Materials Engineering - R.E. Napolitano 4-20 Problem 4.1 A rigid container is divided into two compartments of equal volume by a partition. One compartment contains 1 mole of ideal gas A at 1 atm, and the other contains 1 mole of ideal gas B at 1 atm. (a) Calculate the increase in entropy which occurs when the partition between the two compartments is removed. (b) If the first compartment had contained 2 mole of ideal gas A, what would have been the increase in entropy when the partition was removed? (c) Calculate the corresponding increases in entropy in each of the above two situations if both compartments had contained ideal gas A.
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1 mole A + 1 mole B (mixed) Mat E 212 - Thermodynamics in Materials Engineering - R.E. Napolitano 4-20 Problem 4.1 (a) Calculate the increase in entropy which occurs when the partition between the two compartments is removed. 1 mole A 1 mole B The gases are ideal and do not interact. Consider each expansion separately: T q S = T w = = 2 1 1 V V PdV T = 2 1 1 V V dV V T nRT = 1 2 ln V V nR ( 29 2 ln nR = ( 29 ( 29 2 ln 2 ln R R S S S B A Total + = + = K J 53 . 11 = ( 29 2 ln 2 R = ( 29 4 ln R =
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Mat E 212 - Thermodynamics in Materials Engineering - R.E. Napolitano 4-20 Problem 4.1 The gases are ideal and do not interact. Consider each expansion separately: T q S = T w = = 2 1 1 V V PdV T = 2 1 1 V V dV V T nRT = 1
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This note was uploaded on 09/19/2010 for the course MSE 401 taught by Professor Averback during the Fall '10 term at University of Illinois at Urbana–Champaign.

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Lecture-11_HW4_Review - T hermodynamics in M aterials...

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