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Temperature of diffusely emitting black body given radiation intensity Formula

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Temperature is the degree or intensity of heat present in a substance or object. Check FAQs

T = {(\frac{I b \cdot π}{[Stefan-BoltZ]})}^{0.25}

T - Temperature?I_b - Radiation Intensity of Black Body?[Stefan-BoltZ] - Stefan-Boltzmann Constant?π - Archimedes' constant?

Temperature of diffusely emitting black body given radiation intensity Example

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Here is how the Temperature of diffusely emitting black body given radiation intensity equation looks like with Values.

Here is how the Temperature of diffusely emitting black body given radiation intensity equation looks like with Units.

Here is how the Temperature of diffusely emitting black body given radiation intensity equation looks like.

324.4458 = {(\frac{200 \cdot 3.1416}{5.7E-8})}^{0.25}

324.4458K = {(\frac{200W/m²*sr \cdot 3.1416}{5.7E-8})}^{0.25}

324.4458 = {(\frac{200 \cdot 3.1416}{5.7E-8})}^{0.25}

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Temperature of diffusely emitting black body given radiation intensity Solution

Follow our step by step solution on how to calculate Temperature of diffusely emitting black body given radiation intensity?

FIRST Step Consider the formula

T = {(\frac{I b \cdot π}{[Stefan-BoltZ]})}^{0.25}

Next Step Substitute values of Variables

∴

T = {(\frac{200W/m²*sr \cdot π}{[Stefan-BoltZ]})}^{0.25}

Next Step Substitute values of Constants

∴

T = {(\frac{200W/m²*sr \cdot 3.1416}{5.7E-8})}^{0.25}

Next Step Prepare to Evaluate

∴

T = {(\frac{200 \cdot 3.1416}{5.7E-8})}^{0.25}

Next Step Evaluate

∴

T = 324.445813795041K

LAST Step Rounding Answer

∴

T = 324.4458K

Temperature of diffusely emitting black body given radiation intensity Formula Elements

Variables

Constants

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Radiation Intensity of Black Body

Radiation intensity of black body is the intensity of radiation emitted by a black body.

Symbol: I_b

Measurement: RadianceUnit: W/m²*sr

Note: Value should be greater than 0.

Formulas to find Radiation Intensity of Black Body

Stefan-Boltzmann Constant

Stefan-Boltzmann Constant relates the total energy radiated by a perfect black body to its temperature and is fundamental in understanding blackbody radiation and astrophysics.

Symbol: [Stefan-BoltZ]

Value: 5.670367E-8

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Diffuse Radiation category

Go Radiosity given incident and reflected radiation

J = π \cdot (I r + I er)

Go Emissive Power given Radiation Intensity for Diffusely Emitting Surface

E emit = I e \cdot π

Go Emissive power of diffusely emitted black body radiation given radiation intensity

E b = π \cdot I b

Go Intensity of diffusely incident radiation given irradiation

I i = \frac{G}{π}

How to Evaluate Temperature of diffusely emitting black body given radiation intensity?

Temperature of diffusely emitting black body given radiation intensity evaluator uses Temperature = ((Radiation Intensity of Black Body*pi)/[Stefan-BoltZ])^0.25 to evaluate the Temperature, Temperature of diffusely emitting black body given radiation intensity formula is defined as a measure of the temperature of a black body that emits radiation at a specific intensity, providing a way to quantify the thermal energy emitted by an object based on its radiation intensity. Temperature is denoted by T symbol.

How to evaluate Temperature of diffusely emitting black body given radiation intensity using this online evaluator? To use this online evaluator for Temperature of diffusely emitting black body given radiation intensity, enter Radiation Intensity of Black Body (I_b) and hit the calculate button.

FAQs on Temperature of diffusely emitting black body given radiation intensity

What is the formula to find Temperature of diffusely emitting black body given radiation intensity?

The formula of Temperature of diffusely emitting black body given radiation intensity is expressed as Temperature = ((Radiation Intensity of Black Body*pi)/[Stefan-BoltZ])^0.25. Here is an example- 324.4458 = ((200*pi)/[Stefan-BoltZ])^0.25.

How to calculate Temperature of diffusely emitting black body given radiation intensity?

With Radiation Intensity of Black Body (I_b) we can find Temperature of diffusely emitting black body given radiation intensity using the formula - Temperature = ((Radiation Intensity of Black Body*pi)/[Stefan-BoltZ])^0.25. This formula also uses Stefan-Boltzmann Constant, Archimedes' constant .

Can the Temperature of diffusely emitting black body given radiation intensity be negative?

Yes, the Temperature of diffusely emitting black body given radiation intensity, measured in Temperature can be negative.

Which unit is used to measure Temperature of diffusely emitting black body given radiation intensity?

Temperature of diffusely emitting black body given radiation intensity is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature of diffusely emitting black body given radiation intensity can be measured.

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