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## Homework Statement

Energy can be transmitted via radiation, the rate at which this happens is H=σAT

^{4}. A bar of iron is 0.5m long, 0.2m wide and 0.2m high. Iron has a density of 7900 kg/m

^{3}, a heat capacity of 400J/kgC, and a coefficent of linear expansion of 1.2x10

^{-5}

What is the rate at which iron radiates energy assuming it is initially at 500K and that the emissivity is 0.8?

## Homework Equations

H=σAT

^{4}

## The Attempt at a Solution

I started by trying to figure out the final Temperature so I could plug it in to the formula above and get the H. However Im stuck at which equation to use in order to find the final temperature.

Im not sure if I'm going about it the right way either. Help would be greatly appreciated. Thank you