Molar Extinction Coefficient given Intensities 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%
✖Thickness of Cell is useful in calculating the concentration of a solution on the basis of its light absorption.ⓘ Thickness of Cell [l]			+10% -10%
✖The Concentration of Solution is the quantity of a solute that is contained in a particular quantity of solvent or solution.ⓘ Concentration of Solution [c]			+10% -10%

✖The Molar Extinction Coefficient is a measure of how strongly a chemical species or substance absorbs light at a particular wavelength.ⓘ Molar Extinction Coefficient given Intensities of Radiation [ε]

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Formula

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Molar Extinction Coefficient given Intensities of Radiation

Formula

`"ε" = log10("I"_{"i"}/"I"_{"radiation"})*(1/("l"*"c"))`

Example

`"8.7E^8cm²/mol"=log10("200W/m²*sr"/"75W/m²*sr")*(1/("50.5nm"*"97mol/m³"))`

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Molar Extinction Coefficient given Intensities of Radiation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Extinction Coefficient = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)*(1/(Thickness of Cell*Concentration of Solution))
ε = log10(I_i/I_radiation)*(1/(l*c))
This formula uses 1 Functions, 5 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

Molar Extinction Coefficient - (Measured in Square Meter per Mole) - The Molar Extinction Coefficient is a measure of how strongly a chemical species or substance absorbs light at a particular wavelength.
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.
Thickness of Cell - (Measured in Meter) - Thickness of Cell is useful in calculating the concentration of a solution on the basis of its light absorption.
Concentration of Solution - (Measured in Mole per Cubic Meter) - The Concentration of Solution is the quantity of a solute that is contained in a particular quantity of solvent or solution.

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
Thickness of Cell: 50.5 Nanometer --> 5.05E-08 Meter (Check conversion here)
Concentration of Solution: 97 Mole per Cubic Meter --> 97 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε = log10(I_i/I_radiation)*(1/(l*c)) --> log10(200/75)*(1/(5.05E-08*97))

Evaluating ... ...

ε = 86959.0144477454

STEP 3: Convert Result to Output's Unit

86959.0144477454 Square Meter per Mole -->869590144.477454 Square Centimeter per Mole (Check conversion here)

FINAL ANSWER

869590144.477454 ≈ 8.7E+8 Square Centimeter per Mole <-- Molar Extinction Coefficient

(Calculation completed in 00.021 seconds)

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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

Molar Extinction Coefficient given Intensities of Radiation Formula

Molar Extinction Coefficient = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)*(1/(Thickness of Cell*Concentration of Solution))
ε = log10(I_i/I_radiation)*(1/(l*c))

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 Molar Extinction Coefficient given Intensities of Radiation?

Molar Extinction Coefficient given Intensities of Radiation calculator uses Molar Extinction Coefficient = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)*(1/(Thickness of Cell*Concentration of Solution)) to calculate the Molar Extinction Coefficient, The Molar extinction coefficient given intensities of radiation formula is defined as a measure of how strongly a chemical species or substance absorbs light at a particular wavelength. Molar Extinction Coefficient is denoted by ε symbol.

How to calculate Molar Extinction Coefficient given Intensities of Radiation using this online calculator? To use this online calculator for Molar Extinction Coefficient given Intensities of Radiation, enter Intensity of Incident Radiation (I_i), Intensity of Transmitted Radiation (I_radiation), Thickness of Cell (l) & Concentration of Solution (c) and hit the calculate button. Here is how the Molar Extinction Coefficient given Intensities of Radiation calculation can be explained with given input values -> 8.7E+12 = log10(200/75)*(1/(5.05E-08*97)).

FAQ

What is Molar Extinction Coefficient given Intensities of Radiation?

The Molar extinction coefficient given intensities of radiation formula is defined as a measure of how strongly a chemical species or substance absorbs light at a particular wavelength and is represented as ε = log10(I_i/I_radiation)*(1/(l*c)) or Molar Extinction Coefficient = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)*(1/(Thickness of Cell*Concentration of Solution)). 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, Thickness of Cell is useful in calculating the concentration of a solution on the basis of its light absorption & The Concentration of Solution is the quantity of a solute that is contained in a particular quantity of solvent or solution.

How to calculate Molar Extinction Coefficient given Intensities of Radiation?

The Molar extinction coefficient given intensities of radiation formula is defined as a measure of how strongly a chemical species or substance absorbs light at a particular wavelength is calculated using Molar Extinction Coefficient = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)*(1/(Thickness of Cell*Concentration of Solution)). To calculate Molar Extinction Coefficient given Intensities of Radiation, you need Intensity of Incident Radiation (I_i), Intensity of Transmitted Radiation (I_radiation), Thickness of Cell (l) & Concentration of Solution (c). With our tool, you need to enter the respective value for Intensity of Incident Radiation, Intensity of Transmitted Radiation, Thickness of Cell & Concentration of Solution 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 Molar Extinction Coefficient?

In this formula, Molar Extinction Coefficient uses Intensity of Incident Radiation, Intensity of Transmitted Radiation, Thickness of Cell & Concentration of Solution. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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