what can you say about the rate of cooling of water?

Answer 1

The question is much too vague to be answered.

Answer 2

it depends on the rate of heat transfer.

which depends on a lot of things like heat transfer area, driving force ( temperature difference) and thermal conductivity of the container.

and by the way sarek. If you meant constant temperature of heat sink if we assume constant temp of whatever the heat is transfered to, then the water at higher temperature would have higher delta T or higher driving force and would cool faster, not slower than colder water. if you meant constant dT between water and surroundings, the cooling rate would be the same for hot water and cold water. Remember Q = h x A x dT where h is a constant, A is area, and dT is temperature difference, and of course Q is the amount of heat transfer. and Q' = m x Cp x dT for water. where Q' is heat removed, m is mass of water, Cp is heat capacity, and dT is temp difference. combine, take derivative and you will see rate of cooling is independent of T, and dependent on dT

Answer 3

Well it will be dependant on the temperature difference as well as your absolute temperature. Given a constant temperature difference, hot water will cool slower than cold water. Just like a fast car takes longer to brake compared to a slow one!

Answer 4

The heat transfer rate changes unless the temperature differential stays the same.

Answer 5

Depends on what you ask