Radiation Rate of 0.1m Cube Metal at 200C

In summary, the radiation rate of a 0.1m cube metal at 200C is the amount of electromagnetic radiation emitted or absorbed by the material, and it can be calculated using the Stefan-Boltzmann Law. The radiation rate is affected by the material's temperature, surface area, and emissivity, and it can vary compared to other materials depending on these factors. This knowledge can be applied in designing heat shields, determining energy efficiency, and in industrial processes involving high temperatures.
  • #1
Kyle North
2
0

Homework Statement


At what rate does a 0.1m cube of metal with emissivity e=0.75 radiate energy if it is at a temperature of 200C?

Homework Equations



H=AeσT^4, σ=5.67 x10^-8

The Attempt at a Solution


I found the area of the cute to be A=(0.1m)^2=0.01m, and the turned 200C into 473K, but when I type them all in I get 21.28W and the answer is 128W?
 
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  • #2
How many faces does a cube have?
 
  • #3
6.. thanks!
 
  • #4
Also, (0.1 m)2 = 0.01 m2 Don't forget to square the units.
 

Related to Radiation Rate of 0.1m Cube Metal at 200C

1. What is the significance of the radiation rate of a 0.1m cube metal at 200C?

The radiation rate of a material refers to the amount of electromagnetic radiation emitted or absorbed by the material. In this case, a 0.1m cube metal at 200C has a specific radiation rate that can be measured and compared to other materials.

2. How is the radiation rate of a 0.1m cube metal at 200C calculated?

The radiation rate of a material can be calculated using the Stefan-Boltzmann Law, which relates the temperature of the material to the amount of radiation it emits. The equation is R = εσT^4, where R is the radiation rate, ε is the emissivity of the material, σ is the Stefan-Boltzmann constant, and T is the temperature in Kelvin.

3. What factors affect the radiation rate of a 0.1m cube metal at 200C?

The radiation rate of a material is affected by its temperature, surface area, and emissivity. In this case, the temperature of the metal and its surface area (0.1m cube) are constant, so the main factor that will affect the radiation rate is the emissivity of the metal, which is a measure of how well it can emit radiation.

4. How does the radiation rate of a 0.1m cube metal at 200C compare to other materials?

The radiation rate of a material depends on its emissivity, as well as its temperature and surface area. Therefore, the radiation rate of a 0.1m cube metal at 200C may be higher or lower than other materials depending on these factors. It is important to note that the radiation rate is just one aspect of a material's behavior and should be considered alongside other properties.

5. What applications does the knowledge of the radiation rate of a 0.1m cube metal at 200C have?

The knowledge of a material's radiation rate can be useful in various applications, such as in designing heat shields for spacecraft or determining the energy efficiency of building materials. It can also be used in industrial processes that involve high temperatures, such as metal casting or welding.

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