When fluids (liquids and gases) are heated, they expand and therefore become less dense. Any object or substance that is less dense than a fluid will float in that fluid, so hot water rises (floats) in colder water. When fluids are cooled, they contract and therefore become more dense.
Because the energy of the hotter water would mix with the colder water and they will get averaged.
The water will cool down until both temperatured water becomes the same temperature.
Because the hot water will heat the cold water up and the cold water will cool the hot water down until they have the same temperature.
There is more energy in the hot water than the cold water. When the hot & cold water mix, the energy evens out so the temperature will be averaged.
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