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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
6.72 An isolated system of total mass m is formed by mixing two equal masses of the same liquid initially at the tem- peratures T1 and T2. Eventually, the system attains an equilibrium state. Each mass is incompressible with constant specific heat c.
(a) Show that the amount of entropy produced is
T1 1 T2
|
s 5 mc ln c 1/2 d 1 1 22
(b) Demonstrate that must be positive.
6.73 A cylindrical rod of length L insulated on its lateral surface is initially in contact at one end with a wall at temperature TH and at the other end with a wall at a lower temperature TC. The temperature within the rod initially varies linearly with position z according to
TH 2 TC
substance model with constant specific heat c, obtain an expression for
(a) T3 in terms of T1, T2, and the ratio of mass flow rates
m# 1/m# 3.
(b) the rate of entropy production per unit of mass exiting the chamber in terms of c, T1/T2 and m# 1/m# 3.
(c) For fixed values of c and T1/T2, determine the value of
m# 1/m# 3 for which the rate of entropy production is a
maximum.
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