An isolated system of total mass m is formed by mixing two
Chapter 6, Problem 6.72(choose chapter or problem)
An isolated system of total mass m is formed by mixing two equal masses of the same liquid initially at the temperatures \(T_{1}\) and \(T_{2}\). 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
\(\sigma=m c \ln \left[\frac{T_{1}+T_{2}}{2\left(T_{1} T_{2}\right)^{1 / 2}}\right]\)
(b) Demonstrate that\(\sigma\) must be positive.
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