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) - Temperature is the degree or intensity of heat present in a substance or object.
Emitted Radiation - (Measured in Watt per Square Meter) - Emitted Radiation is the radiation emitted by a body.
Emissivity - Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95.
STEP 1: Convert Input(s) to Base Unit
Emitted Radiation: 2.8 Watt per Square Meter --> 2.8 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 --> (2.8/(0.95*[Stefan-BoltZ]))^0.25
Evaluating ... ...
T = 84.9094082897364
STEP 3: Convert Result to Output's Unit
84.9094082897364 Kelvin --> No Conversion Required
FINAL ANSWER
84.9094082897364 84.90941 Kelvin <-- Temperature
(Calculation completed in 00.004 seconds)

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6 Kirchhoff's Law Calculators

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

Temperature of Small Body given Emissivity and Emitted Radiation Formula

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, The Temperature of Small Body given Emissivity and Emitted Radiation formula is defined as the temperature of a small body in a large isothermal enclosure, in terms of emissivity and emitted radiation. 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 = (2.8/(0.95*[Stefan-BoltZ]))^0.25.

FAQ

What is Temperature of Small Body given Emissivity and Emitted Radiation?
The Temperature of Small Body given Emissivity and Emitted Radiation formula is defined as the temperature of a small body in a large isothermal enclosure, in terms of emissivity and emitted radiation and is represented as T = (Eemit/(ε*[Stefan-BoltZ]))^0.25 or Temperature = (Emitted Radiation/(Emissivity*[Stefan-BoltZ]))^0.25. Emitted Radiation is the radiation emitted by a body & Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95.
How to calculate Temperature of Small Body given Emissivity and Emitted Radiation?
The Temperature of Small Body given Emissivity and Emitted Radiation formula is defined as the temperature of a small body in a large isothermal enclosure, in terms of emissivity and emitted radiation 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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