Figuring Out Time Required to Heat a Mass at Differing Temperatures

[Fancy Moses]

I have a fairly basic (I hope) question:

Given:

I'm heating, via convection, a constant sized spherical mass (Let's say m=1g) with a consistent surface area (Let's say SA = 1cm^2) at a constant temperature, Tc, (Let's say Tc = 60ºC) for a time, t = 60 minutes. Let us assume that the mass has an initial temperature (Ti) of 20ºC and after 60 minutes the temperature (Tf) of the mass will equal 50ºC. In a similar scenario (m=1g, SA=1cm^2, Ti=20ºC) how long will it take the mass to equal 50ºC if the new constant ambient temperature equals 100ºC?

Experiment 1:

m = 1g
SA = 1cm^2
Ti = 20ºC
Tc = 60ºC
Tf = 50ºC
t = 60 min

Experiment 2:

m = 1g
SA = 1cm^2
Ti = 20ºC
Tc = 100ºC
Tf = 50ºC
t = ?? min

How would I figure this out? Assuming any necessary chemical or physical properties can be found for the mass.

Any information would be greatly appreciated!

 

[dulrich]

You are going to want to use Newton's law of cooling.

http://en.wikipedia.org/wiki/Heat_transfer#Newton.27s_law_of_cooling

 

[Glen Bartusch]

Please do not post homework questions on this forum, as this forum is for the discusion of physics. Thank you.

 

[Fancy Moses]

This is not a homework question at all - it is a small part of a larger issue I am having testing different products in an environmental chamber. Please forgive me for formatting the question in a "homework-fashion". I thought it would be much easier to understand this way. I really hope this wasn't the reason for all the lack of responses...