Solve Thermal Radiation HW: Find Temperature Inside Insulating Case

AI Thread Summary
To find the temperature inside the insulating case of an iPod, the discussion focuses on the heat exchange by radiation, given the case's thermal properties. Participants clarify that the thermal diffusion equation is not applicable since energy transfer occurs solely through radiation. The thickness of the insulating case and its thermal conductivity are noted, but the shape of the case is deemed irrelevant for this calculation. The main challenge lies in determining how to apply the principles of radiation heat transfer to solve for the internal temperature. Overall, the emphasis is on understanding the limitations of the problem and the specific conditions provided.
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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! :)
 
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I believe the radiation heat transfer limitation only applies between the case and the air.
 
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