Temperature of Small Body given Emissivity and Emitted Radiation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature = (Emitted Radiation/(Emissivity*[Stefan-BoltZ]))^0.25
T = (Eemit/(ε*[Stefan-BoltZ]))^0.25
This formula uses 1 Constants, 3 Variables
Constants Used
[Stefan-BoltZ] - Stefan-Boltzmann Constant Value Taken As 5.670367E-8
Variables Used
Temperature - (Measured in Kelvin) - The Temperature is a measure of the thermal energy of a system, indicating how hot or cold it is, and plays a crucial role in heat transfer processes.
Emitted Radiation - (Measured in Watt per Square Meter) - The Emitted Radiation is the energy released by a surface in the form of electromagnetic waves, influenced by its temperature and material properties according to Kirchhoff's Law.
Emissivity - The Emissivity is a measure of a material's ability to emit energy as thermal radiation, reflecting its efficiency in radiating heat compared to a perfect black body.
STEP 1: Convert Input(s) to Base Unit
Emitted Radiation: 2.811969 Watt per Square Meter --> 2.811969 Watt per Square Meter No Conversion Required
Emissivity: 0.95 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = (Eemit/(ε*[Stefan-BoltZ]))^0.25 --> (2.811969/(0.95*[Stefan-BoltZ]))^0.25
Evaluating ... ...
T = 85.0000025459168
STEP 3: Convert Result to Output's Unit
85.0000025459168 Kelvin --> No Conversion Required
FINAL ANSWER
85.0000025459168 85 Kelvin <-- Temperature
(Calculation completed in 00.004 seconds)

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Kirchhoff's Law Calculators

Temperature of Small Body using Absorptivity and Absorbed Radiation
​ LaTeX ​ Go Temperature = (Absorbed Radiation/([Stefan-BoltZ]*Absorptivity))^0.25
Temperature of Small Body given Emissivity and Emitted Radiation
​ LaTeX ​ Go Temperature = (Emitted Radiation/(Emissivity*[Stefan-BoltZ]))^0.25
Radiation Absorbed by Small Body Per Unit of its Surface Area
​ LaTeX ​ Go Absorbed Radiation = Absorptivity*[Stefan-BoltZ]*(Temperature^4)
Radiation emitted by small body
​ LaTeX ​ Go Emitted Radiation = Emissivity*[Stefan-BoltZ]*(Temperature^4)

Temperature of Small Body given Emissivity and Emitted Radiation Formula

​LaTeX ​Go
Temperature = (Emitted Radiation/(Emissivity*[Stefan-BoltZ]))^0.25
T = (Eemit/(ε*[Stefan-BoltZ]))^0.25

What is Kirchhoff Law?

The total hemispherical emissivity of a surface at temperature T is equal to its total hemispherical absorptivity for radiation coming from a blackbody at the same temperature. This relation, which greatly simplifies the radiation analysis, was first developed by Gustav Kirchhoff in 1860 and is now called Kirchhoff’s law.

How to Calculate Temperature of Small Body given Emissivity and Emitted Radiation?

Temperature of Small Body given Emissivity and Emitted Radiation calculator uses Temperature = (Emitted Radiation/(Emissivity*[Stefan-BoltZ]))^0.25 to calculate the Temperature, Temperature of Small Body given Emissivity and Emitted Radiation formula is defined as a measure of the temperature of an object that emits radiation, taking into account the emissivity of the object and the amount of radiation it emits, providing a way to quantify the thermal energy of the object. Temperature is denoted by T symbol.

How to calculate Temperature of Small Body given Emissivity and Emitted Radiation using this online calculator? To use this online calculator for Temperature of Small Body given Emissivity and Emitted Radiation, enter Emitted Radiation (Eemit) & Emissivity (ε) and hit the calculate button. Here is how the Temperature of Small Body given Emissivity and Emitted Radiation calculation can be explained with given input values -> 84.90941 = (2.811969/(0.95*[Stefan-BoltZ]))^0.25.

FAQ

What is Temperature of Small Body given Emissivity and Emitted Radiation?
Temperature of Small Body given Emissivity and Emitted Radiation formula is defined as a measure of the temperature of an object that emits radiation, taking into account the emissivity of the object and the amount of radiation it emits, providing a way to quantify the thermal energy of the object and is represented as T = (Eemit/(ε*[Stefan-BoltZ]))^0.25 or Temperature = (Emitted Radiation/(Emissivity*[Stefan-BoltZ]))^0.25. The Emitted Radiation is the energy released by a surface in the form of electromagnetic waves, influenced by its temperature and material properties according to Kirchhoff's Law & The Emissivity is a measure of a material's ability to emit energy as thermal radiation, reflecting its efficiency in radiating heat compared to a perfect black body.
How to calculate Temperature of Small Body given Emissivity and Emitted Radiation?
Temperature of Small Body given Emissivity and Emitted Radiation formula is defined as a measure of the temperature of an object that emits radiation, taking into account the emissivity of the object and the amount of radiation it emits, providing a way to quantify the thermal energy of the object is calculated using Temperature = (Emitted Radiation/(Emissivity*[Stefan-BoltZ]))^0.25. To calculate Temperature of Small Body given Emissivity and Emitted Radiation, you need Emitted Radiation (Eemit) & Emissivity (ε). With our tool, you need to enter the respective value for Emitted Radiation & Emissivity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Temperature?
In this formula, Temperature uses Emitted Radiation & Emissivity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Temperature = (Absorbed Radiation/([Stefan-BoltZ]*Absorptivity))^0.25
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