Baraa. F$.$ N

Q$3$: 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 generation can be expressed as:

$S_{\text{g}\text{e}\text{n}}=mcln[\frac{T_1+T_2}{2(T_1{T}_2{)}^{\frac{1}{2}}}]$