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This is a question purposed to me by my professor as we went over the mathematics behind the diffusion of heat flow through solids.

Many parts of this question are left up to us to create. Here is what i am working with.

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A m^3 box made of Brick .1m thick has air at 30C. Out side is 20C.

What is the temp. inside the box after 1 hour? 12hours? Aprox. How long until the air is 20C inside also?

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This question was assigned when looking at Heat flow equations, these equations are to look at the distribution of heat inside the wall with constant heat sources on either side. Unlike this problem, dispite my best efforts any attempt to change them into a dynamic system fails.

Having thought about this problem here is what i think is my approach, some one care to help?

1) Set volume of air to 1m^3, with 30C and standard preasure. Find the Energy inside the box.(need help here)

2)Using the surface area of the box, the rate of energy/heat transfer from Brick, the energy difference inside/out.

R-valuebrick= 0.80 (k*m^2/W)

R=D/k=.1m/k

3)Need help!

Ok from what i can tell, i should be able to calculate the energy in the box, the rate energy is lost using the brick's R value, and create an formula specific to this situation. Can some one please get me on the right track?