Radiation Intensity at given Distance using Beer's Law Calculator

✖Initial Radiation Intensity is the radiant flux emitted, reflected, transmitted or received, per unit solid angle.ⓘ Initial Radiation Intensity [I_λo]			+10% -10%
✖Monochromatic Absorption Coefficient is defined as the proportionality constant where thickness of the gas layer and the intensity of radiation are proportional.ⓘ Monochromatic Absorption Coefficient [α_λ]			+10% -10%
✖Distance is the length across which the absorption of radiation beam is taking place.ⓘ Distance [x]			+10% -10%

✖Radiation intensity at Distance x is the radiant flux emitted, reflected, transmitted or received, per unit solid angle.ⓘ Radiation Intensity at given Distance using Beer's Law [I_λx]

⎘ Copy

👎

Formula

✖

Radiation Intensity at given Distance using Beer's Law

Formula

`"I"_{"λx"} = "I"_{"λo"}*exp(-("α"_{"λ"}*"x"))`

Example

`"638.4055W/sr"="920W/sr"*exp(-("0.42"*"0.87m"))`

Calculator

LaTeX

Reset

👍

Download Radiation Formula PDF PDF Image

Radiation Intensity at given Distance using Beer's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radiation Intensity at Distance x = Initial Radiation Intensity*exp(-(Monochromatic Absorption Coefficient*Distance))
I_λx = I_λo*exp(-(α_λ*x))
This formula uses 1 Functions, 4 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Radiation Intensity at Distance x - (Measured in Watt per Steradian) - Radiation intensity at Distance x is the radiant flux emitted, reflected, transmitted or received, per unit solid angle.
Initial Radiation Intensity - (Measured in Watt per Steradian) - Initial Radiation Intensity is the radiant flux emitted, reflected, transmitted or received, per unit solid angle.
Monochromatic Absorption Coefficient - Monochromatic Absorption Coefficient is defined as the proportionality constant where thickness of the gas layer and the intensity of radiation are proportional.
Distance - (Measured in Meter) - Distance is the length across which the absorption of radiation beam is taking place.

STEP 1: Convert Input(s) to Base Unit

Initial Radiation Intensity: 920 Watt per Steradian --> 920 Watt per Steradian No Conversion Required
Monochromatic Absorption Coefficient: 0.42 --> No Conversion Required
Distance: 0.87 Meter --> 0.87 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_λx = I_λo*exp(-(α_λ*x)) --> 920*exp(-(0.42*0.87))

Evaluating ... ...

I_λx = 638.405505526279

STEP 3: Convert Result to Output's Unit

638.405505526279 Watt per Steradian --> No Conversion Required

FINAL ANSWER

638.405505526279 ≈ 638.4055 Watt per Steradian <-- Radiation Intensity at Distance x

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Heat Transfer » Radiation » Gas Radiation » Radiation Intensity at given Distance using Beer's Law

Credits

Created by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

Ayush gupta has created this Calculator and 300+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 5 Gas Radiation Calculators

Radiation Intensity at given Distance using Beer's Law

Go Radiation Intensity at Distance x = Initial Radiation Intensity*exp(-(Monochromatic Absorption Coefficient*Distance))

Initial Radiation Intensity

Go Initial Radiation Intensity = Radiation Intensity at Distance x/exp(-(Monochromatic Absorption Coefficient*Distance))

Monochromatic Transmissivity

Go Monochromatic Transmissivity = exp(-(Monochromatic Absorption Coefficient*Distance))

Monochromatic Absorption Coefficient if Gas is Non-Reflecting

Go Monochromatic Absorption Coefficient = 1-Monochromatic Transmissivity

Monochromatic Transmissivity if Gas is Non Reflecting

Go Monochromatic Transmissivity = 1-Monochromatic Absorption Coefficient

< 21 Important Formulas in Gas Radiation, Radiation Exchange with Specular Surfaces & more Special Cases Calculators

Net Heat Lost by Surface given Diffuse Radiosity

Go Heat Transfer = ((Emissivity*Area)/(Diffuse Component of Reflectivity))*((Emissive Power of Blackbody*(Emissivity+Diffuse Component of Reflectivity))-Diffuse Radiosity)

Transmissivity of Transparent Medium given Radiosity and Shape Factor

Go Transmissivity of Transparent Medium = Radiation Heat Transfer/(Surface Area of Body 1*Radiation Shape Factor 12*(Radiosity of 1st Body-Radiosity of 2nd Body))

Net Heat Exchange in Transmission Process

Go Radiation Heat Transfer = Surface Area of Body 1*Radiation Shape Factor 12*Transmissivity of Transparent Medium*(Radiosity of 1st Body-Radiosity of 2nd Body)

Diffuse Radiation Exchange from Surface 1 to Surface 2

Go Heat Transfer from Surface 1 to 2 = (Diffuse Radiosity for Surface 1*Surface Area of Body 1*Radiation Shape Factor 12)*(1-Specular Component of Reflectivity of Surface 2)

Diffuse Radiation Exchange from Surface 2 to Surface 1

Go Heat Transfer from Surface 2 to 1 = Diffuse Radiosity for Surface 2*Surface Area of Body 2*Radiation Shape Factor 21*(1-Specular Component of Reflectivity of Surface 1)

Energy Leaving Surface 1 that is Transmitted through Medium

Go Energy Leaving Surface = Radiosity of 1st Body*Surface Area of Body 1*Radiation Shape Factor 12*Transmissivity of Transparent Medium

Net Heat Lost by Surface

Go Heat Transfer = Area*((Emissivity*Emissive Power of Blackbody)-(Absorptivity*Irradiation))

Radiation Intensity at given Distance using Beer's Law

Go Radiation Intensity at Distance x = Initial Radiation Intensity*exp(-(Monochromatic Absorption Coefficient*Distance))

Initial Radiation Intensity

Go Initial Radiation Intensity = Radiation Intensity at Distance x/exp(-(Monochromatic Absorption Coefficient*Distance))

Diffuse Radiosity

Go Diffuse Radiosity = ((Emissivity*Emissive Power of Blackbody)+(Diffuse Component of Reflectivity*Irradiation))

Direct Diffuse Radiation from Surface 2 to Surface 1

Go Heat Transfer from Surface 2 to 1 = Surface Area of Body 2*Radiation Shape Factor 21*Radiosity of 2nd Body

Monochromatic Transmissivity

Go Monochromatic Transmissivity = exp(-(Monochromatic Absorption Coefficient*Distance))

Emissive Power of Blackbody through Medium given Emissivity of Medium

Go Emissive Power of Blackbody through Medium = Radiosity for Transparent Medium/Emissivity of Medium

Emissivity of Medium given Emissive Power of Blackbody through Medium

Go Emissivity of Medium = Radiosity for Transparent Medium/Emissive Power of Blackbody through Medium

Energy Emitted by Medium

Go Radiosity for Transparent Medium = Emissivity of Medium*Emissive Power of Blackbody through Medium

Temperature of Medium given Emissive Power of Blackbody

Go Temperature of Medium = (Emissive Power of Blackbody through Medium/[Stefan-BoltZ])^(1/4)

Transmissivity given Specular and Diffuse Component

Go Transmissivity = (Specular Component of Transmissivity+Diffuse Component of Transmissivity)

Emissive Power of Blackbody through Medium

Go Emissive Power of Blackbody through Medium = [Stefan-BoltZ]*(Temperature of Medium^4)

Reflectivity given Specular and Diffuse Component

Go Reflectivity = Specular Component of Reflectivity+Diffuse Component of Reflectivity

Monochromatic Absorption Coefficient if Gas is Non-Reflecting

Go Monochromatic Absorption Coefficient = 1-Monochromatic Transmissivity

Monochromatic Transmissivity if Gas is Non Reflecting

Go Monochromatic Transmissivity = 1-Monochromatic Absorption Coefficient

Radiation Intensity at given Distance using Beer's Law Formula

Radiation Intensity at Distance x = Initial Radiation Intensity*exp(-(Monochromatic Absorption Coefficient*Distance))
I_λx = I_λo*exp(-(α_λ*x))

What is Radiation?

Radiation is energy that comes from a source and travels through space at the speed of light. This energy has an electric field and a magnetic field associated with it, and has wave-like properties. You could also call radiation “electromagnetic waves”.

What is Emissivity?

Emissivity is defined as the ratio of the energy radiated from a material's surface to that radiated from a perfect emitter, known as a blackbody, at the same temperature and wavelength and under the same viewing conditions. It is a dimensionless number between 0 (for a perfect reflector) and 1 (for a perfect emitter).

How to Calculate Radiation Intensity at given Distance using Beer's Law?

Radiation Intensity at given Distance using Beer's Law calculator uses Radiation Intensity at Distance x = Initial Radiation Intensity*exp(-(Monochromatic Absorption Coefficient*Distance)) to calculate the Radiation Intensity at Distance x, Radiation Intensity at given Distance using Beer's Law formula is defined as the function of Initial radiation Intensity, Absorption Coefficient and Distance upto which radiation is taking place in the Gas. Radiation Intensity at Distance x is denoted by I_λx symbol.

How to calculate Radiation Intensity at given Distance using Beer's Law using this online calculator? To use this online calculator for Radiation Intensity at given Distance using Beer's Law, enter Initial Radiation Intensity (I_λo), Monochromatic Absorption Coefficient (α_λ) & Distance (x) and hit the calculate button. Here is how the Radiation Intensity at given Distance using Beer's Law calculation can be explained with given input values -> 638.4055 = 920*exp(-(0.42*0.87)).

FAQ

What is Radiation Intensity at given Distance using Beer's Law?

Radiation Intensity at given Distance using Beer's Law formula is defined as the function of Initial radiation Intensity, Absorption Coefficient and Distance upto which radiation is taking place in the Gas and is represented as I_λx = I_λo*exp(-(α_λ*x)) or Radiation Intensity at Distance x = Initial Radiation Intensity*exp(-(Monochromatic Absorption Coefficient*Distance)). Initial Radiation Intensity is the radiant flux emitted, reflected, transmitted or received, per unit solid angle, Monochromatic Absorption Coefficient is defined as the proportionality constant where thickness of the gas layer and the intensity of radiation are proportional & Distance is the length across which the absorption of radiation beam is taking place.

How to calculate Radiation Intensity at given Distance using Beer's Law?

Radiation Intensity at given Distance using Beer's Law formula is defined as the function of Initial radiation Intensity, Absorption Coefficient and Distance upto which radiation is taking place in the Gas is calculated using Radiation Intensity at Distance x = Initial Radiation Intensity*exp(-(Monochromatic Absorption Coefficient*Distance)). To calculate Radiation Intensity at given Distance using Beer's Law, you need Initial Radiation Intensity (I_λo), Monochromatic Absorption Coefficient (α_λ) & Distance (x). With our tool, you need to enter the respective value for Initial Radiation Intensity, Monochromatic Absorption Coefficient & Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search