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Temperature of black body to emit certain amount of radiation energy Formula

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The Temperature is a measure of the thermal energy of a system, indicating how hot or cold it is, which affects heat emission due to radiation. Check FAQs

T = {(\frac{E}{[Stefan-BoltZ] \cdot SA Total \cdot Δt})}^{0.25}

T - Temperature?E - Energy?SA_Total - Total Surface Area?Δt - Time Interval or Time Period?[Stefan-BoltZ] - Stefan-Boltzmann Constant?

Temperature of black body to emit certain amount of radiation energy Example

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Here is how the Temperature of black body to emit certain amount of radiation energy equation looks like with Values.

Here is how the Temperature of black body to emit certain amount of radiation energy equation looks like with Units.

Here is how the Temperature of black body to emit certain amount of radiation energy equation looks like.

89.4033 = {(\frac{240}{5.7E-8 \cdot 53 \cdot 1.25})}^{0.25}

89.4033K = {(\frac{240J}{5.7E-8 \cdot 53m² \cdot 1.25s})}^{0.25}

89.4033 = {(\frac{240}{5.7E-8 \cdot 53 \cdot 1.25})}^{0.25}

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Temperature of black body to emit certain amount of radiation energy Solution

Follow our step by step solution on how to calculate Temperature of black body to emit certain amount of radiation energy?

FIRST Step Consider the formula

T = {(\frac{E}{[Stefan-BoltZ] \cdot SA Total \cdot Δt})}^{0.25}

Next Step Substitute values of Variables

∴

T = {(\frac{240J}{[Stefan-BoltZ] \cdot 53m² \cdot 1.25s})}^{0.25}

Next Step Substitute values of Constants

∴

T = {(\frac{240J}{5.7E-8 \cdot 53m² \cdot 1.25s})}^{0.25}

Next Step Prepare to Evaluate

∴

T = {(\frac{240}{5.7E-8 \cdot 53 \cdot 1.25})}^{0.25}

Next Step Evaluate

∴

T = 89.4032996234355K

LAST Step Rounding Answer

∴

T = 89.4033K

Temperature of black body to emit certain amount of radiation energy Formula Elements

Variables

Constants

Temperature

The Temperature is a measure of the thermal energy of a system, indicating how hot or cold it is, which affects heat emission due to radiation.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Energy

The Energy is the heat emitted by a body due to radiation, reflecting the transfer of thermal energy through electromagnetic waves.

Symbol: E

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy

Total Surface Area

The Total Surface Area is the sum of all external surfaces of an object, influencing heat emission and absorption in thermal radiation processes.

Symbol: SA_Total

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area

Time Interval or Time Period

The Time Interval or Time Period is the duration over which heat radiation emission is measured, reflecting the time taken for energy transfer through radiation.

Symbol: Δt

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Interval or Time Period

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

Other formulas in Heat Emission due to Radiation category

Go Black Bodies Heat Exchange by Radiation

q = ε \cdot [Stefan-BoltZ] \cdot A cs \cdot ({T 1}^{4} - {T 2}^{4})

Go Heat Exchange by Radiation due to Geometric Arrangement

q = ε \cdot A cs \cdot [Stefan-BoltZ] \cdot SF \cdot ({T 1}^{4} - {T 2}^{4})

Go Non Ideal Body Surface Emittance

e = ε \cdot [Stefan-BoltZ] \cdot {T w}^{4}

Go Radiation energy emitted by black body per unit time and surface area

G = [Stefan-BoltZ] \cdot T^{4}

How to Evaluate Temperature of black body to emit certain amount of radiation energy?

Temperature of black body to emit certain amount of radiation energy evaluator uses Temperature = (Energy/([Stefan-BoltZ]*Total Surface Area*Time Interval or Time Period))^0.25 to evaluate the Temperature, Temperature of black body to emit certain amount of radiation energy formula is defined as the temperature at which a black body emits a certain amount of radiation energy, which is dependent on the energy emitted, the Stefan-Boltzmann constant, the total surface area, and the time duration. Temperature is denoted by T symbol.

How to evaluate Temperature of black body to emit certain amount of radiation energy using this online evaluator? To use this online evaluator for Temperature of black body to emit certain amount of radiation energy, enter Energy (E), Total Surface Area (SA_Total) & Time Interval or Time Period (Δt) and hit the calculate button.

FAQs on Temperature of black body to emit certain amount of radiation energy

What is the formula to find Temperature of black body to emit certain amount of radiation energy?

The formula of Temperature of black body to emit certain amount of radiation energy is expressed as Temperature = (Energy/([Stefan-BoltZ]*Total Surface Area*Time Interval or Time Period))^0.25. Here is an example- 89.4033 = (240/([Stefan-BoltZ]*53*1.25))^0.25.

How to calculate Temperature of black body to emit certain amount of radiation energy?

With Energy (E), Total Surface Area (SA_Total) & Time Interval or Time Period (Δt) we can find Temperature of black body to emit certain amount of radiation energy using the formula - Temperature = (Energy/([Stefan-BoltZ]*Total Surface Area*Time Interval or Time Period))^0.25. This formula also uses Stefan-Boltzmann Constant .

Can the Temperature of black body to emit certain amount of radiation energy be negative?

Yes, the Temperature of black body to emit certain amount of radiation energy, measured in Temperature can be negative.

Which unit is used to measure Temperature of black body to emit certain amount of radiation energy?

Temperature of black body to emit certain amount of radiation energy is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature of black body to emit certain amount of radiation energy can be measured.

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