I have been faced with trying to find a relationship between specific heat capacity and Newtons'law of cooling. Reading around, I have seen that a objects rate of cooling is based on surface area, the temperature of the surroundings etc.
To put this into context, I am aiming at taking 10 different metals with different specific heat capacities and heating them to 100 degrees Celsius. From there(as they cool), I aim to take the necessary temperature points and create the curve for the Newton cooling curve. I have not tested this yet in real life as of yet and would like to know if this even exists.
In short, is there a trend between metals of varying SHC's and their respective cooling curve(Or cooling constant K)?
As a side note, the metals will be cooled in air. I will be heating them in water and, using an IR sensor, measuring the temperature as they cool.