Use of the Stefan-Bolzman Law - what is the power (H)?

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In summary, the emissivity of a metal can be found using the Stefan-Boltzmann law, which requires the recorded area, final temperature, and ambient temperature of the metal. The power used in this equation should only be the power emitted from the metal, not the power absorbed from any external sources.
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GeeS
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Hi,
I want to use the stefan-boltzmann law to find the emissivity of a metal.
H = AeσT^4 - Ts^4

I have recorded area (0.064m^2), final temperature (335.23K) and ambient temperature (307.27K). The original temperature of the metal 62.23˚C, and the final temperature after 8 minutes was 32.33˚C. However when it was left to cool, it wasn't put in total darkness, so there was still some light energy coming in.

My main question is with the power (H). when finding this, is it just the power found from q = mc∆t over time, or do you add the power of the light being absorbed, and hence emitted? eg, if 42W/m^2 were being absorbed from the light, and Q found by mc∆t is 4.3W, is the power use for stefan-boltzman law 42 or 46.3?

Thanks :)
 
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The power used for the Stefan-Boltzmann law should be the power that is emitted from the metal, not the power that is absorbed from the light. This means that the power used in the Stefan-Boltzmann law would be 4.3W.
 

FAQ: Use of the Stefan-Bolzman Law - what is the power (H)?

What is the Stefan-Boltzmann Law?

The Stefan-Boltzmann law is a physical law that describes the relationship between the temperature and the power emitted by a black body, which is an object that absorbs all incoming radiation and emits it as thermal radiation.

What is the equation for the Stefan-Boltzmann Law?

The equation for the Stefan-Boltzmann law is P = σAT^4, where P is the power emitted, σ is the Stefan-Boltzmann constant, A is the surface area of the object, and T is the temperature in Kelvin.

What is the significance of the power (H) in the Stefan-Boltzmann Law?

The power (H) in the Stefan-Boltzmann law represents the amount of thermal energy emitted by an object per unit time. It is a measure of the intensity of radiation emitted by the object and is directly proportional to the fourth power of the object's absolute temperature.

How is the power (H) calculated using the Stefan-Boltzmann Law?

To calculate the power (H) using the Stefan-Boltzmann law, you would need to know the surface area of the object, its temperature in Kelvin, and the Stefan-Boltzmann constant. Then, you would simply plug these values into the equation P = σAT^4 to determine the power emitted by the object.

What are some real-world applications of the Stefan-Boltzmann Law?

The Stefan-Boltzmann law is used in various fields, including astronomy, meteorology, and engineering. It is used to determine the energy output of stars, calculate the energy balance of the Earth's atmosphere, and design efficient solar panels and thermal insulation materials.

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