Discuss the below:
Q: Two equal quantities of water, of mass m and at temperatures T1, and T2, are adiabatically mixed together, the pressure remaining constant. Show that the entropy change of the universe is
ΔS=2mcp ln{(T1+T2)/2√T1T2}
where c_p, is the specific heat of water at constant pressure. Show that [delta]S >= 0. (Hint: (a - b)^2 0 for a and b real.)