Blackbody Radiance Homework: Calculating Warming & Cooling Rates

[beasht]

Homework Statement

Consider a slab of matter contained within two infinite planes a distance of s = 1m apart.
absorption coefficent =1m2kg-1
density of slab 1kgm-3
heat capacity 103^3jk-1kg-1
assume the absorption coefficient to be independent of wave length

1.Suppose one face of a slab is illuminated by a source emitting blackbody radiation at temp 300k, compute the rate at which the slab would tend to warm up by absorption of incident radiance.
2. assuming the slab is also at temp of 300k compute the irradiance emitted by the slab. Compute the rate at which the slab would tend to cool by emission.
3. assuming that the incident black body radiation remains unchanged in time, compute the temp at which the slab will come into equilibrium.


justing looking for some pointers to get started such as formulas, etc that are best suited for this problem, and guidance on the steps i need to take,
any info much appreciated,
thanks

 

[jbsteele]

Homework Equations The Attempt at a SolutionI know i'm supposed to use the Stefan-Boltzmann law for this problem and find the net rate at which energy is gained or lost. But i don't know what other formulas or laws I should use.