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

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✖Energy is the amount of work done.ⓘ Energy [E]			+10% -10%
✖Total Surface Area is the total area of the surface of a three-dimensional object.ⓘ Total Surface Area [SA_Total]			+10% -10%
✖Time interval or time period is the time duration between two events/entities of interest.ⓘ Time interval or time period [Δt]			+10% -10%

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature of black body to emit certain amount of radiation energy [T]

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Temperature of black body to emit certain amount of radiation energy

Formula

`"T" = ("E"/("[Stefan-BoltZ]"*"SA"_{"Total"}*"Δt"))^0.25`

Example

`"89.4033K"=("240J"/("[Stefan-BoltZ]"*"53m²"*"1.25s"))^0.25`

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

STEP 0: Pre-Calculation Summary

Formula Used

Temperature = (Energy/([Stefan-BoltZ]*Total Surface Area*Time interval or time period))^0.25
T = (E/([Stefan-BoltZ]*SA_Total*Δt))^0.25
This formula uses 1 Constants, 4 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.
Energy - (Measured in Joule) - Energy is the amount of work done.
Total Surface Area - (Measured in Square Meter) - Total Surface Area is the total area of the surface of a three-dimensional object.
Time interval or time period - (Measured in Second) - Time interval or time period is the time duration between two events/entities of interest.

STEP 1: Convert Input(s) to Base Unit

Energy: 240 Joule --> 240 Joule No Conversion Required
Total Surface Area: 53 Square Meter --> 53 Square Meter No Conversion Required
Time interval or time period: 1.25 Second --> 1.25 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (E/([Stefan-BoltZ]*SA_Total*Δt))^0.25 --> (240/([Stefan-BoltZ]*53*1.25))^0.25

Evaluating ... ...

T = 89.4032996234355

STEP 3: Convert Result to Output's Unit

89.4032996234355 Kelvin --> No Conversion Required

FINAL ANSWER

89.4032996234355 ≈ 89.4033 Kelvin <-- Temperature

(Calculation completed in 00.004 seconds)

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Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< 8 Radiation Calculators

Thermal Resistance of black body surface due to radiation

Go Total Thermal Resistance = 1/(([Stefan-BoltZ])*Area*((Initial Temperature)^2+(Final Temperature)^2)* (Initial Temperature+Final Temperature)*Radiation Shape Factor(Geometry depended))

Temperature of black body to emit certain amount of radiation energy

Go Temperature = (Energy/([Stefan-BoltZ]*Total Surface Area*Time interval or time period))^0.25

Spectral black body emissive power Planck's law

Go Spectral Blackbody Emissive Power = (0.374177107*(10^(-15)))/((Wavelength^5)*(e^(0.014387752/(Wavelength*Temperature))-1))

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

Go Total Surface Area = Energy/([Stefan-BoltZ]*(Temperature^4)*Time interval or time period)

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

Go Time interval or time period = Energy/([Stefan-BoltZ]*(Temperature^4)*Total Surface Area)

Radiation energy emitted by black body in time interval given temperature

Go Energy = [Stefan-BoltZ]*Temperature^4*Total Surface Area*Time interval or time period

Radiation energy emitted by black body in time interval given emissive power

Go Energy = Emissive Power of Black Body*Surface Area*Time Interval from the Peak

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

Go Heat Flux = [Stefan-BoltZ]*Temperature^4

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

Temperature = (Energy/([Stefan-BoltZ]*Total Surface Area*Time interval or time period))^0.25
T = (E/([Stefan-BoltZ]*SA_Total*Δt))^0.25

What is temperature?

Temperature is a physical quantity that expresses hot and cold. It is the manifestation of thermal energy, present in all matter, which is the source of the occurrence of heat, a flow of energy when a body is in contact with another that is colder or hotter.

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

Temperature of black body to emit certain amount of radiation energy calculator uses Temperature = (Energy/([Stefan-BoltZ]*Total Surface Area*Time interval or time period))^0.25 to calculate the Temperature, The Temperature of black body to emit certain amount of radiation energy formula is defined as the temperature of the black body required to emit a certain amount of radiation energy from its surface in the given time interval. Temperature is denoted by T symbol.

How to calculate Temperature of black body to emit certain amount of radiation energy using this online calculator? To use this online calculator 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. Here is how the Temperature of black body to emit certain amount of radiation energy calculation can be explained with given input values -> 89.4033 = (240/([Stefan-BoltZ]*53*1.25))^0.25.

FAQ

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

The Temperature of black body to emit certain amount of radiation energy formula is defined as the temperature of the black body required to emit a certain amount of radiation energy from its surface in the given time interval and is represented as T = (E/([Stefan-BoltZ]*SA_Total*Δt))^0.25 or Temperature = (Energy/([Stefan-BoltZ]*Total Surface Area*Time interval or time period))^0.25. Energy is the amount of work done, Total Surface Area is the total area of the surface of a three-dimensional object & Time interval or time period is the time duration between two events/entities of interest.

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

The Temperature of black body to emit certain amount of radiation energy formula is defined as the temperature of the black body required to emit a certain amount of radiation energy from its surface in the given time interval is calculated using Temperature = (Energy/([Stefan-BoltZ]*Total Surface Area*Time interval or time period))^0.25. To calculate Temperature of black body to emit certain amount of radiation energy, you need Energy (E), Total Surface Area (SA_Total) & Time interval or time period (Δt). With our tool, you need to enter the respective value for Energy, Total Surface Area & Time interval or time period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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