Learn How to Calculate Radiation Energy - Tutorial

Calculate Radiation Energy using Stefan Boltzmann Law - Definition, Formula and Example

Definition:

Stefan Boltzmann Law is also known as Stefan's Law. It helps to resolve the unknown quantity between radiation emitted by the body, temperature and the surface area. This law illustrates that, the energy radiated by a blackbody radiator per second per unit area is proportional to the fourth power of the absolute temperature power radiated from a black body in terms of its temperature.

Formula:

Stefan Boltzmann Law (P) = ε σ A T4 Surface area (A) = 4 π r2 Where, σ - Stefan's constant (5.67 x 10-8 W m-2 K-4) P - Radiation Energy A - Surface Area T - Temperature r - Radius
Example:

A Metal ball 3 cm in radius is heated in a furnace to 5000C. If its emissivity is 0.5, at what rate does it radiate energy?

Given,

Radius (r) = 3 cm Temperature (T) = 5000C Emissivity (ε) = 0.5

To Find,

Radiation Energy (P)

Solution:
Step1:

First, calculate the Surface area of the ball (A), A = 4 π r2 = (4 x 3.142)(0.03 m)2 = (12.568) (0.03 m) 2 = 0.0113112 m2

Step2:

Now, calculate the Temperature (T), T = 500 0C + 273 T = 773 K.

Step3:

Finally, calculate the Radiation energy (P), P = ε σ A T4 P = 0.5 x 5.67 x 10-8 x 0.0113112 x (773)4 P = 114.37 W.

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