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Radiation Intensity at given Distance using Beer's Law Formula

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Radiation intensity at Distance x is the radiant flux emitted, reflected, transmitted or received, per unit solid angle. Check FAQs

I λx = I λo \cdot \exp (- (α λ \cdot x))

I_λx - Radiation Intensity at Distance x?I_λo - Initial Radiation Intensity?α_λ - Monochromatic Absorption Coefficient?x - Distance?

Radiation Intensity at given Distance using Beer's Law Example

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Here is how the Radiation Intensity at given Distance using Beer's Law equation looks like with Values.

Here is how the Radiation Intensity at given Distance using Beer's Law equation looks like with Units.

Here is how the Radiation Intensity at given Distance using Beer's Law equation looks like.

638.4055 = 920 \cdot \exp (- (0.42 \cdot 0.87))

638.4055W/sr = 920W/sr \cdot \exp (- (0.42 \cdot 0.87m))

638.4055 = 920 \cdot \exp (- (0.42 \cdot 0.87))

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Radiation Intensity at given Distance using Beer's Law Solution

Follow our step by step solution on how to calculate Radiation Intensity at given Distance using Beer's Law?

FIRST Step Consider the formula

I λx = I λo \cdot \exp (- (α λ \cdot x))

Next Step Substitute values of Variables

∴

I λx = 920W/sr \cdot \exp (- (0.42 \cdot 0.87m))

Next Step Prepare to Evaluate

∴

I λx = 920 \cdot \exp (- (0.42 \cdot 0.87))

Next Step Evaluate

∴

I λx = 638.405505526279W/sr

LAST Step Rounding Answer

∴

I λx = 638.4055W/sr

Radiation Intensity at given Distance using Beer's Law Formula Elements

Variables

Functions

Radiation Intensity at Distance x

Radiation intensity at Distance x is the radiant flux emitted, reflected, transmitted or received, per unit solid angle.

Symbol: I_λx

Measurement: Radiant IntensityUnit: W/sr

Note: Value should be greater than 0.

Formulas to find Radiation Intensity at Distance x

Initial Radiation Intensity

Initial Radiation Intensity is the radiant flux emitted, reflected, transmitted or received, per unit solid angle.

Symbol: I_λo

Measurement: Radiant IntensityUnit: W/sr

Note: Value should be greater than 0.

Formulas to find Initial Radiation Intensity

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.

Symbol: α_λ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Monochromatic Absorption Coefficient

Distance

Distance is the length across which the absorption of radiation beam is taking place.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance

exp

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

Syntax: exp(Number)

Other formulas in Gas Radiation category

Go Initial Radiation Intensity

I λo = \frac{I λx}{\exp (- (α λ \cdot x))}

Go Monochromatic Absorption Coefficient if Gas is Non-Reflecting

α λ = 1 - 𝜏 λ

Go Monochromatic Transmissivity

𝜏 λ = \exp (- (α λ \cdot x))

Go Monochromatic Transmissivity if Gas is Non Reflecting

𝜏 λ = 1 - α λ

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

Radiation Intensity at given Distance using Beer's Law evaluator uses Radiation Intensity at Distance x = Initial Radiation Intensity*exp(-(Monochromatic Absorption Coefficient*Distance)) to evaluate 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 evaluate Radiation Intensity at given Distance using Beer's Law using this online evaluator? To use this online evaluator 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.

FAQs on Radiation Intensity at given Distance using Beer's Law

What is the formula to find Radiation Intensity at given Distance using Beer's Law?

The formula of Radiation Intensity at given Distance using Beer's Law is expressed as Radiation Intensity at Distance x = Initial Radiation Intensity*exp(-(Monochromatic Absorption Coefficient*Distance)). Here is an example- 638.4055 = 920*exp(-(0.42*0.87)).

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

With Initial Radiation Intensity (I_λo), Monochromatic Absorption Coefficient (α_λ) & Distance (x) we can find Radiation Intensity at given Distance using Beer's Law using the formula - Radiation Intensity at Distance x = Initial Radiation Intensity*exp(-(Monochromatic Absorption Coefficient*Distance)). This formula also uses Exponential Growth (exp) function(s).

Can the Radiation Intensity at given Distance using Beer's Law be negative?

No, the Radiation Intensity at given Distance using Beer's Law, measured in Radiant Intensity cannot be negative.

Which unit is used to measure Radiation Intensity at given Distance using Beer's Law?

Radiation Intensity at given Distance using Beer's Law is usually measured using the Watt per Steradian[W/sr] for Radiant Intensity. are the few other units in which Radiation Intensity at given Distance using Beer's Law can be measured.

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Radiation Intensity at given Distance using Beer's Law Formula

Radiation Intensity at given Distance using Beer's Law Example

Radiation Intensity at given Distance using Beer's Law Solution

Radiation Intensity at given Distance using Beer's Law Formula Elements

Other formulas in Gas Radiation category

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

FAQs on Radiation Intensity at given Distance using Beer's Law

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