Mixing the two bodies of water has the same effect as the heat transfer of energy from the higher-temperature substance to the lower-temperature substance. The mixing decreases the entropy of the hotter water but increases the entropy of the colder water by a greater amount, producing an overall increase in entropy. When two pure substances mix under normal conditions there is usually an increase in the entropy of the system. This is qualitatively easily visualized in terms of the increased disorder brought about by mixing. When hot water is mixed with cold water, the mixture attains an intermediate temperature because heat flows from higher temperature to lower temperature. When cold water is poured over hot water, cold water being denser flows to the bottom mixing with the hot water in the process and getting heated up. In thermodynamics, the entropy of mixing is the increase in the total entropy when several initially separate systems of different composition, each in a thermodynamic state of internal equilibrium, are mixed without chemical reaction by the thermodynamic operation of removal of impermeable partition(s).
Mixing the two bodies of water has the same effect as the heat transfer of energy from the higher-temperature substance to the lower-temperature substance. The mixing decreases the entropy of the hotter water but increases the entropy of the colder water by a greater amount, producing an overall increase in entropy. When two pure substances mix under normal conditions there is usually an increase in the entropy of the system. This is qualitatively easily visualized in terms of the increased disorder brought about by mixing. When hot water is mixed with cold water, the mixture attains an intermediate temperature because heat flows from higher temperature to lower temperature. When cold water is poured over hot water, cold water being denser flows to the bottom mixing with the hot water in the process and getting heated up. In thermodynamics, the entropy of mixing is the increase in the total entropy when several initially separate systems of different composition, each in a thermodynamic state of internal equilibrium, are mixed without chemical reaction by the thermodynamic operation of removal of impermeable partition(s).