How to tell how fast temerature changes.

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The discussion centers on determining the rate at which water changes temperature, with an emphasis on the need for an appropriate equation. The initial poster recalls studying calorimetry but struggles to find a formula that quantifies temperature change over time. Contributors suggest that the specific heat capacities and the heat equation, which combines conservation of energy with Fourier's law of heat conduction, are relevant to this inquiry. They clarify that the rate of temperature change is influenced by the initial and final temperatures, as well as the mass of the substance. Understanding these principles can help in calculating how quickly water's temperature will change.
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I studied calorimetery in physics, but reflecting upon old equations i can't seem to find one that will tell me how long it takes to change the temerature of the substance. I'm mainly looking for how fast water will change temperature. I'm guessing that the rate in which it changes depends on the initial and final temerature, the mass maybe of each... i really don't know. if anyone knows an equation to this... I'm sure its simple and i just can't seem to find it. btw i did google it and had no luck. thanks ahead of time.
 
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I think he is asking about heat rates not steady heat transfer.

The dynamics are described using the heat equation which is essentially conservation of energy + fourier's conduction law. The rate of temperature change with time can be seen from that formula. Take a look:
http://en.wikipedia.org/wiki/Heat_equation
 

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