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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
6.72Â Â 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)Â Â Â Â Show that the amount of entropy produced is
  T1 1 T2  Â
Â
|
s 5 mc ln c             1/2 d 1 1 22
(b)   Demonstrate that        must be positive.
6.73Â Â 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)Â Â Â Â T3 in terms of T1, T2, and the ratio of mass flow rates
m#Â 1/m#Â 3.
(b)Â Â Â the rate of entropy production per unit of mass exiting the chamber in terms of c, T1/T2Â Â and m#Â 1/m#Â 3.
(c)Â Â Â Â 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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