Solve Thermal Radiation HW: Find Temperature Inside Insulating Case

[bon]

Homework Statement

An ipod is left running inside a thin insulating case 2.5mm thick with thermal conductivity of 0.02W/K/m. The case is black and at 25 degrees C and exchanges energy with its surroundings, all of which are at 20 degrees C by radiation alone. What is the temperature inside the case?

Homework Equations

The Attempt at a Solution

Not sure how to do this?

Am i right that we don't use the thermal diffusion equation because it says "by radiation alone"..

Not sure how to do it, especially as we don't know the shape of the case etc..?

Help please! :)

 

[RocketSci5KN]

I believe the radiation heat transfer limitation only applies between the case and the air.