# Homework Help: Blackbody Radiation Question

1. Apr 27, 2014

### Aoiumi

1. The problem statement, all variables and given/known data

The temperature of a blackbody is 500 C. If the intensity of the emitted radiation, 2.0 W/m^2, were due entirely to the most intense frequency component, how many quanta of radiation would be emiteed per second per square meter?

2. Relevant equations

λmaxT = 2.90 x 10^-3 m K

3. The attempt at a solution

I'm not sure where to begin or how to use intensity.
500 C = 773.15 K

I calculated λmax = 2.90 x 10^-3 m K / 773.15 K = 3750 nm or 3.75 x 10 ^-6 m. I'm not sure where to go from here. Please help. Thank you!

2. Apr 27, 2014

### TheAustrian

A useful relationship to consider is this one:

$J=∫^{∞}_{0}J_{λ}(T)dλ$

This tells you the total energy radiated per unit time per unit surface area of a black body.

3. Apr 27, 2014

Thank you!