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Time required to emit specified amount of radiation energy from black body Formula

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Time interval or time period is the time duration between two events/entities of interest. Check FAQs

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

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

Time required to emit specified amount of radiation energy from black body Example

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Here is how the Time required to emit specified amount of radiation energy from black body equation looks like with Values.

Here is how the Time required to emit specified amount of radiation energy from black body equation looks like with Units.

Here is how the Time required to emit specified amount of radiation energy from black body equation looks like.

1.5298 = \frac{240}{5.7E-8 \cdot (85^{4}) \cdot 53}

1.5298s = \frac{240J}{5.7E-8 \cdot ({85K}^{4}) \cdot 53m²}

1.5298 = \frac{240}{5.7E-8 \cdot (85^{4}) \cdot 53}

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Time required to emit specified amount of radiation energy from black body Solution

Follow our step by step solution on how to calculate Time required to emit specified amount of radiation energy from black body?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Δt = \frac{240J}{[Stefan-BoltZ] \cdot ({85K}^{4}) \cdot 53m²}

Next Step Substitute values of Constants

∴

Δt = \frac{240J}{5.7E-8 \cdot ({85K}^{4}) \cdot 53m²}

Next Step Prepare to Evaluate

∴

Δt = \frac{240}{5.7E-8 \cdot (85^{4}) \cdot 53}

Next Step Evaluate

∴

Δt = 1.52984876712818s

LAST Step Rounding Answer

∴

Δt = 1.5298s

Time required to emit specified amount of radiation energy from black body Formula Elements

Variables

Constants

Time Interval or Time Period

Time interval or time period is the time duration between two events/entities of interest.

Symbol: Δt

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Interval or Time Period

Energy

Energy is the amount of work done.

Symbol: E

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy

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

Total Surface Area

Total Surface Area is the total area of the surface of a three-dimensional object.

Symbol: SA_Total

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area

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 \cdot ({T 1}^{4} - {T 2}^{4})

Go Heat Exchange by Radiation due to Geometric Arrangement

q = ε \cdot A \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

q' = [Stefan-BoltZ] \cdot T^{4}

How to Evaluate Time required to emit specified amount of radiation energy from black body?

Time required to emit specified amount of radiation energy from black body evaluator uses Time Interval or Time Period = Energy/([Stefan-BoltZ]*(Temperature^4)*Total Surface Area) to evaluate the Time Interval or Time Period, Time required to emit specified amount of radiation energy from black body formula is defined as the duration taken by a black body to release a certain amount of radiation energy, which is dependent on the temperature of the black body and its surface area. Time Interval or Time Period is denoted by Δt symbol.

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

FAQs on Time required to emit specified amount of radiation energy from black body

What is the formula to find Time required to emit specified amount of radiation energy from black body?

The formula of Time required to emit specified amount of radiation energy from black body is expressed as Time Interval or Time Period = Energy/([Stefan-BoltZ]*(Temperature^4)*Total Surface Area). Here is an example- 1.529849 = 240/([Stefan-BoltZ]*(85^4)*53).

How to calculate Time required to emit specified amount of radiation energy from black body?

With Energy (E), Temperature (T) & Total Surface Area (SA_Total) we can find Time required to emit specified amount of radiation energy from black body using the formula - Time Interval or Time Period = Energy/([Stefan-BoltZ]*(Temperature^4)*Total Surface Area). This formula also uses Stefan-Boltzmann Constant .

Can the Time required to emit specified amount of radiation energy from black body be negative?

No, the Time required to emit specified amount of radiation energy from black body, measured in Time cannot be negative.

Which unit is used to measure Time required to emit specified amount of radiation energy from black body?

Time required to emit specified amount of radiation energy from black body is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time required to emit specified amount of radiation energy from black body can be measured.

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