# Calculating Insulation Thickness

by Voltux
Tags: insulation, thickness
 Homework Sci Advisor HW Helper Thanks P: 12,447 That's a cylindrical chamber? The total area of the walls would be ##A=\pi hd^2/4## You need to relate the heat flow through a thickness L of insulating material to the rate that you are supplying heat. For walls thickness L and thermal conductivity ##k## .. the thermal resistance is $$R=\frac{L}{k A}=\frac{4L}{\pi k hd^2}$$... I think the equation you want is: $$T_{inside}-T_{outside}=\dot{Q}R$$... The outside temperature would be whatever the working equilibrium temperature of the room should be - take a guess. If it is just sitting in air, the room will probably get quite hot. With no other information, I'd guess 300K for the outside temperature - which would be uncomfortably warm, and hope there's some sort of ventilation. If you have experience of the kinds of workplaces that use these devices you may be able to make a better guess than that.