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Surface Area of Black Body required to Emit certain amount of Radiation Energy Formula

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

SA Total = \frac{E}{[Stefan-BoltZ] \cdot (T^{4}) \cdot Δt}

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

Surface Area of Black Body required to Emit certain amount of Radiation Energy Example

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Here is how the Surface Area of Black Body required to Emit certain amount of Radiation Energy equation looks like with Values.

Here is how the Surface Area of Black Body required to Emit certain amount of Radiation Energy equation looks like with Units.

Here is how the Surface Area of Black Body required to Emit certain amount of Radiation Energy equation looks like.

53 = \frac{240}{5.7E-8 \cdot ({89.4033}^{4}) \cdot 1.25}

53m² = \frac{240J}{5.7E-8 \cdot ({89.4033K}^{4}) \cdot 1.25s}

53 = \frac{240}{5.7E-8 \cdot ({89.4033}^{4}) \cdot 1.25}

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Surface Area of Black Body required to Emit certain amount of Radiation Energy Solution

Follow our step by step solution on how to calculate Surface Area of Black Body required to Emit certain amount of Radiation Energy?

FIRST Step Consider the formula

SA Total = \frac{E}{[Stefan-BoltZ] \cdot (T^{4}) \cdot Δt}

Next Step Substitute values of Variables

∴

SA Total = \frac{240J}{[Stefan-BoltZ] \cdot ({89.4033K}^{4}) \cdot 1.25s}

Next Step Substitute values of Constants

∴

SA Total = \frac{240J}{5.7E-8 \cdot ({89.4033K}^{4}) \cdot 1.25s}

Next Step Prepare to Evaluate

∴

SA Total = \frac{240}{5.7E-8 \cdot ({89.4033}^{4}) \cdot 1.25}

Next Step Evaluate

∴

SA Total = 52.9999991070613m²

LAST Step Rounding Answer

∴

SA Total = 53m²

Surface Area of Black Body required to Emit certain amount of Radiation Energy Formula Elements

Variables

Constants

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

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

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

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 Surface Area of Black Body required to Emit certain amount of Radiation Energy?

Surface Area of Black Body required to Emit certain amount of Radiation Energy evaluator uses Total Surface Area = Energy/([Stefan-BoltZ]*(Temperature^4)*Time Interval or Time Period) to evaluate the Total Surface Area, Surface Area of Black Body required to Emit certain amount of Radiation Energy formula is defined as the total surface area of a black body that emits a certain amount of radiation energy, which is dependent on the energy emitted, Stefan-Boltzmann constant, temperature, and time duration. Total Surface Area is denoted by SA_Total symbol.

How to evaluate Surface Area of Black Body required to Emit certain amount of Radiation Energy using this online evaluator? To use this online evaluator for Surface Area of Black Body required to Emit certain amount of Radiation Energy, enter Energy (E), Temperature (T) & Time Interval or Time Period (Δt) and hit the calculate button.

FAQs on Surface Area of Black Body required to Emit certain amount of Radiation Energy

What is the formula to find Surface Area of Black Body required to Emit certain amount of Radiation Energy?

The formula of Surface Area of Black Body required to Emit certain amount of Radiation Energy is expressed as Total Surface Area = Energy/([Stefan-BoltZ]*(Temperature^4)*Time Interval or Time Period). Here is an example- 64.86559 = 240/([Stefan-BoltZ]*(89.4033^4)*1.25).

How to calculate Surface Area of Black Body required to Emit certain amount of Radiation Energy?

With Energy (E), Temperature (T) & Time Interval or Time Period (Δt) we can find Surface Area of Black Body required to Emit certain amount of Radiation Energy using the formula - Total Surface Area = Energy/([Stefan-BoltZ]*(Temperature^4)*Time Interval or Time Period). This formula also uses Stefan-Boltzmann Constant .

Can the Surface Area of Black Body required to Emit certain amount of Radiation Energy be negative?

No, the Surface Area of Black Body required to Emit certain amount of Radiation Energy, measured in Area cannot be negative.

Which unit is used to measure Surface Area of Black Body required to Emit certain amount of Radiation Energy?

Surface Area of Black Body required to Emit certain amount of Radiation Energy is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Surface Area of Black Body required to Emit certain amount of Radiation Energy can be measured.

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