Given emissivity and area, is there a way to calculate how fast a blackbody would cool?

Question

I can't seem to find an equation to relate the variables. I calculated E = 1.76*10^-5 W/m^2 from the Stefan-Boltzmann Relationship, and I calculated my A = 2.12 m^2 and my T = 313.15 K, but I don't know how to come up with a rate of cooling. Any ideas?

Thanks! :-)

Answer 1

You would need the specific heat of the material. The rate of cooling would be the total energy loss (E*A) divided by the specific heat. This will be non-linear, and your value would be good for only the specific temperature given.

Watts = Energy/time; one watt = 1 joule/sec.