1. The problem statement, all variables and given/known data Heat capacity is the ability of the material to store energy internally. If I completely insulated diamond and I put heat into it, It would have the ability to store 6.57 (Joules/mole) per degree Kelvin. Use this formula q=Cp (ΔT/ Δt) where q is heat in Watts, ΔT is differential temperature and Δt is differential time (obviously, Cp is heat capacity) and Watts = .5 mW. Diamond has a very high conductivity. q/A=k (ΔT/ Δx) where A is area, k is conductivity of diamond at 895 W/m-K, and Δx is the differential distance. Let's say there is a source that produces 3.7x10^10 beta particles per second. A beta from this decay has an average energy of 182 keV. With that, over time, how hot will the outside get? Is this solvable, if it is not what information do you need and if it is how do you solve it? Is this definitely a chemistry question? 2. Relevant equations q=Cp (ΔT/ Δt) q/A=k (ΔT/ Δx) 3. The attempt at a solution Try to solve as a differential equation. Did not work. Could not find any relevant guides that showed how to solve this particular heat capacity formula.