Calculating Equilibrium Temperature of Blacktop Road Under High Noon Radiation

[andrew410]

At high noon, the Sun delivers 1,000 W to each square meter of a blacktop road. If the hot asphalt loses energy only by radiation, what is its equilibrium temperature?

I know the formula for energy rate of radiation:
$$P = \sigma A e T^4$$
I don't know how to apply this to the problem...
Any help would be great! Thx in advance ! :)

 

[Tide]

If the blacktop is in thermal or radiative equilibrium it radiates the same amount of energy it absorbs.

 

[andrew410]

So do I solve for T for the above formula and plug in the values? If so, then what is the emissivity(e)?

 

[Tide]

e = 1 for an ideal radiator.

 

[andrew410]

thanks a lot! :)