You posted: "Please explain this via your interpretation of the 2nd Law and entropy."
Non-sequiter.
There is a systematic influnce at work in this: the differing densities of the liquids, and a gravitational field. Re-do the experiment in endless free-fall and comment on your findings. Due at close of class today."
Reply:
I am gratified that you know that substances have different densities. What do you think happens in a zero-gravitational field? Do you guess there will be no separation of the liquids and no appearance of order?
However, how do you square your answer with the 2nd Law? There is nothing in the 2nd law about densities, is there?
The differing densities and the gravitational field provide tabular order; you could apply the 2nd law to a set of encyclopaedias with equal relevance.
Next try the experiment with two beakers; one with miscible liquids, and the other with immiscible liquids. Describe your results. Keep trying to find a connection to the thermodynamics of an infinite system, while turning blue in the face.