If hot water and cold water are mixed, then the entropy of the system will

Explanation:

Entropy-

It can be defined as a measure of the degree of molecular disorder/randomness existing in the system.

We know that,

\(\rho = \frac{P}{{RT}}\)

Density and Temperature are inversely related at constant Pressure.

Initially, hot water has a lower density and cold water has a higher density. Due to the density differences, hot water floats above cold water. Due to temperature differences heat transfer takes place within the mixture from hot water to cold water. Molecules of hot water start moving downwards and molecules of cold water start moving upwards as they lose and gain heat respectively. Thus, the mixture comes in motion as a result of buoyancy force originated from variation in fluid density.

∵ This motion increases the molecule's randomness and thus increases the entropy of the mixture.