Beer-Lambert law given Intensity of Radiation Calculator

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✖The Intensity of Incident Radiation is the radiation intensity of incident radiation on a surface.ⓘ Intensity of Incident Radiation [I_i]			+10% -10%
✖The Intensity of Transmitted Radiation is the radiant flux emitted, reflected, transmitted, or received by a surface, per unit solid angle per unit projected area.ⓘ Intensity of Transmitted Radiation [I_radiation]			+10% -10%

✖Absorbance is also known as optical density of the solution used in calculating the concentration of a solution on the basis of its light absorption.ⓘ Beer-Lambert law given Intensity of Radiation [A]

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Formula

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Beer-Lambert law given Intensity of Radiation

Formula

`"A" = log10("I"_{"i"}/"I"_{"radiation"})`

Example

`"0.425969"=log10("200W/m²*sr"/"75W/m²*sr")`

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Beer-Lambert law given Intensity of Radiation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Absorbance = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)
A = log10(I_i/I_radiation)
This formula uses 1 Functions, 3 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Absorbance - Absorbance is also known as optical density of the solution used in calculating the concentration of a solution on the basis of its light absorption.
Intensity of Incident Radiation - (Measured in Watt per Square Meter Steradian) - The Intensity of Incident Radiation is the radiation intensity of incident radiation on a surface.
Intensity of Transmitted Radiation - (Measured in Watt per Square Meter Steradian) - The Intensity of Transmitted Radiation is the radiant flux emitted, reflected, transmitted, or received by a surface, per unit solid angle per unit projected area.

STEP 1: Convert Input(s) to Base Unit

Intensity of Incident Radiation: 200 Watt per Square Meter Steradian --> 200 Watt per Square Meter Steradian No Conversion Required
Intensity of Transmitted Radiation: 75 Watt per Square Meter Steradian --> 75 Watt per Square Meter Steradian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = log10(I_i/I_radiation) --> log10(200/75)

Evaluating ... ...

A = 0.425968732272281

STEP 3: Convert Result to Output's Unit

0.425968732272281 --> No Conversion Required

FINAL ANSWER

0.425968732272281 ≈ 0.425969 <-- Absorbance

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< 15 Beer-Lambert law Calculators

Molar Extinction Coefficient given Intensities of Radiation

Go Molar Extinction Coefficient = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)*(1/(Thickness of Cell*Concentration of Solution))

Thickness of Cell given Intensities of Radiation

Go Thickness of Cell = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)*(1/(Molar Extinction Coefficient*Concentration of Solution))

Concentration of Solution given Intensities of Radiation

Go Concentration of Solution = log10(Intensity of Incident Radiation/Intensity of Reflected Radiation)*(1/(Thickness of Cell*Molar Extinction Coefficient))

Intensity of Transmitted Radiation given Concentration of Solution

Go Intensity of Transmitted Radiation = Intensity of Incident Radiation/exp(Molar Extinction Coefficient*Thickness of Cell*Concentration of Solution)

Intensity of Incident Radiation given Concentration of Solution

Go Intensity of Incident Radiation = Intensity of Transmitted Radiation*exp(Molar Extinction Coefficient*Concentration of Solution*Thickness of Cell)

Molar Extinction Coefficient

Go Molar Extinction Coefficient = Absorbance/(Concentration of Solution*Thickness of Cell)

Concentration of Solution

Go Concentration of Solution = Absorbance/(Thickness of Cell*Molar Extinction Coefficient)

Thickness of Cell

Go Thickness of Cell = Absorbance/(Molar Extinction Coefficient*Concentration of Solution)

Beer-Lambert law given Intensity of Radiation

Go Absorbance = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)

Absorbance using Beer-Lambert Law

Go Absorbance = Molar Extinction Coefficient*Concentration of Solution*Thickness of Cell

Intensity of Transmitted Radiation

Go Intensity of Transmitted Radiation = Intensity of Incident Radiation/10^(Absorbance)

Intensity of Incident Radiation

Go Intensity of Incident Radiation = Intensity of Transmitted Radiation*10^(Absorbance)

Molar Extinction Coefficient given Slope of Plot

Go Molar Extinction Coefficient = Slope of Line/Thickness of Cell

Slope of Absorbance vs Concentration Plot

Go Slope of Line = Molar Extinction Coefficient*Thickness of Cell

Thickness of Cell given Slope

Go Thickness of Cell = Slope of Line/Molar Extinction Coefficient

Beer-Lambert law given Intensity of Radiation Formula

Absorbance = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)
A = log10(I_i/I_radiation)

What is Beer- Lambert Law?

Beer-Lambert law is useful in calculating the concentration of a solution on the basis of its light absorption. This law relates the intensity of the transmitted monochromatic light to the concentration of the solution and the thickness of the cell in which the solution is kept.
The molar extinction coefficient of a substance can be determined using a colorimeter or a spectrophotometer as follows. The absorbances of a solution are measured at different
known concentrations using a cell of known thickness (l). The plot of absorbance, A against Concentration of solution, c gives a straight line and its slope is equal to εl.

Define Photochemistry.

In photochemistry, we study the absorption and emission of light by matter. It consists of the study of various photo physical processes and photochemical reactions. Two important photo physical processes are fluorescence and phosphorescence. During fluorescence, light emission takes place in the presence of exciting radiation; but the light emission stops, once the exciting radiation is removed. In contrast to this, during phosphorescence, light emission takes place even after the removal of the exciting radiation.
In photochemical reactions, the substances acquire the necessary activation energy through light absorption. Again this is in contrast to the thermal reactions in which the reactants acquire their activation energy through collisions between molecules.

How to Calculate Beer-Lambert law given Intensity of Radiation?

Beer-Lambert law given Intensity of Radiation calculator uses Absorbance = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation) to calculate the Absorbance, The Beer-Lambert law given Intensity of Radiation formula states that there is a linear relationship between the concentration and the absorbance of the solution, which enables the concentration of a solution to be calculated by measuring its absorbance. Absorbance is denoted by A symbol.

How to calculate Beer-Lambert law given Intensity of Radiation using this online calculator? To use this online calculator for Beer-Lambert law given Intensity of Radiation, enter Intensity of Incident Radiation (I_i) & Intensity of Transmitted Radiation (I_radiation) and hit the calculate button. Here is how the Beer-Lambert law given Intensity of Radiation calculation can be explained with given input values -> 0.425969 = log10(200/75).

FAQ

What is Beer-Lambert law given Intensity of Radiation?

The Beer-Lambert law given Intensity of Radiation formula states that there is a linear relationship between the concentration and the absorbance of the solution, which enables the concentration of a solution to be calculated by measuring its absorbance and is represented as A = log10(I_i/I_radiation) or Absorbance = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation). The Intensity of Incident Radiation is the radiation intensity of incident radiation on a surface & The Intensity of Transmitted Radiation is the radiant flux emitted, reflected, transmitted, or received by a surface, per unit solid angle per unit projected area.

How to calculate Beer-Lambert law given Intensity of Radiation?

The Beer-Lambert law given Intensity of Radiation formula states that there is a linear relationship between the concentration and the absorbance of the solution, which enables the concentration of a solution to be calculated by measuring its absorbance is calculated using Absorbance = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation). To calculate Beer-Lambert law given Intensity of Radiation, you need Intensity of Incident Radiation (I_i) & Intensity of Transmitted Radiation (I_radiation). With our tool, you need to enter the respective value for Intensity of Incident Radiation & Intensity of Transmitted Radiation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Absorbance?

In this formula, Absorbance uses Intensity of Incident Radiation & Intensity of Transmitted Radiation. We can use 1 other way(s) to calculate the same, which is/are as follows -

Absorbance = Molar Extinction Coefficient*Concentration of Solution*Thickness of Cell

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