Beer-Lambert Law Calculator

✖Intensity of Light Entering the Material is related to the energy of the EM wave (power per unit area). So when light passes through an interface some of it is reflected and some refracted.ⓘ Intensity of Light Entering the Material [I_o]			+10% -10%
✖Absorption per Concentration Coefficient is essentially the cross-sectional area per unit volume of medium.ⓘ Absorption per Concentration Coefficient [β]			+10% -10%
✖Concentration of Absorption Material is Absorbance is directly proportional to the concentration of the substance.ⓘ Concentration of Absorption Material [c]			+10% -10%
✖Path Length of average number of steps along the shortest paths for all possible pairs of network nodes.ⓘ Path Length [x]			+10% -10%

✖Intensity of Transmitted Light varies as the square of the cosine of the angle between the two planes of transmission.ⓘ Beer-Lambert Law [I_t]

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Beer-Lambert Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length)
I_t = I_o*exp(-β*c*x)
This formula uses 1 Functions, 5 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

Intensity of Transmitted Light - (Measured in Candela) - Intensity of Transmitted Light varies as the square of the cosine of the angle between the two planes of transmission.
Intensity of Light Entering the Material - (Measured in Candela) - Intensity of Light Entering the Material is related to the energy of the EM wave (power per unit area). So when light passes through an interface some of it is reflected and some refracted.
Absorption per Concentration Coefficient - Absorption per Concentration Coefficient is essentially the cross-sectional area per unit volume of medium.
Concentration of Absorption Material - Concentration of Absorption Material is Absorbance is directly proportional to the concentration of the substance.
Path Length - (Measured in Meter) - Path Length of average number of steps along the shortest paths for all possible pairs of network nodes.

STEP 1: Convert Input(s) to Base Unit

Intensity of Light Entering the Material: 700 Candela --> 700 Candela No Conversion Required
Absorption per Concentration Coefficient: 1.21 --> No Conversion Required
Concentration of Absorption Material: 0.41 --> No Conversion Required
Path Length: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_t = I_o*exp(-β*c*x) --> 700*exp(-1.21*0.41*7)

Evaluating ... ...

I_t = 21.7231895984896

STEP 3: Convert Result to Output's Unit

21.7231895984896 Candela --> No Conversion Required

FINAL ANSWER

21.7231895984896 ≈ 21.72319 Candela <-- Intensity of Transmitted Light

(Calculation completed in 00.004 seconds)

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Created by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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Chandigarh University (CU), Punjab

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< Laws of Illumination Calculators

Beer-Lambert Law

LaTeX Go Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length)

Fresnel's Law of Reflection

LaTeX Go Reflection Loss = (Refractive Index of Medium 2-Refractive Index of Medium 1)^2/(Refractive Index of Medium 2+Refractive Index of Medium 1)^2

Illumination by Lambert Cosine Law

LaTeX Go Illumination Intensity = (Luminous Intensity*cos(Illumination Angle))/(Length of Illumination^2)

Inverse Square Law

LaTeX Go Luminance = Intensity of Transmitted Light/Distance^2

< Advanced Illumination Calculators

Beer-Lambert Law

LaTeX Go Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length)

Utilization Factor of Electrical Energy

LaTeX Go Utilization Factor = Lumen Reaching Working Plane/Lumen Emitting from Source

Specific Consumption

LaTeX Go Specific Consumption = (2*Input Power)/Candle Power

Luminous Intensity

LaTeX Go Luminous Intensity = Lumen/Solid Angle

Beer-Lambert Law Formula

LaTeX Go

Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length)
I_t = I_o*exp(-β*c*x)

Why does Beer-Lambert law fails at higher concentrations?

Beer-Lambert law fails at higher concentrations because the linearity of the law is limited to chemical and instrumental factors. When the solution has higher concentrations, the proximity between the molecules of the solution is so close that there are deviations in the absorptivity. Also, when the concentration is high, the refractive index changes.

How to Calculate Beer-Lambert Law?

Beer-Lambert Law calculator uses Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length) to calculate the Intensity of Transmitted Light, Beer-Lambert Law formula is defined as Beer-Lambert law states that the concentration of the sample and path length is directly proportional to the absorbance of the light. Intensity of Transmitted Light is denoted by I_t symbol.

How to calculate Beer-Lambert Law using this online calculator? To use this online calculator for Beer-Lambert Law, enter Intensity of Light Entering the Material (I_o), Absorption per Concentration Coefficient (β), Concentration of Absorption Material (c) & Path Length (x) and hit the calculate button. Here is how the Beer-Lambert Law calculation can be explained with given input values -> 6.5E-9 = 700*exp(-1.21*0.41*7).

FAQ

What is Beer-Lambert Law?

Beer-Lambert Law formula is defined as Beer-Lambert law states that the concentration of the sample and path length is directly proportional to the absorbance of the light and is represented as I_t = I_o*exp(-β*c*x) or Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length). Intensity of Light Entering the Material is related to the energy of the EM wave (power per unit area). So when light passes through an interface some of it is reflected and some refracted, Absorption per Concentration Coefficient is essentially the cross-sectional area per unit volume of medium, Concentration of Absorption Material is Absorbance is directly proportional to the concentration of the substance & Path Length of average number of steps along the shortest paths for all possible pairs of network nodes.

How to calculate Beer-Lambert Law?

Beer-Lambert Law formula is defined as Beer-Lambert law states that the concentration of the sample and path length is directly proportional to the absorbance of the light is calculated using Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length). To calculate Beer-Lambert Law, you need Intensity of Light Entering the Material (I_o), Absorption per Concentration Coefficient (β), Concentration of Absorption Material (c) & Path Length (x). With our tool, you need to enter the respective value for Intensity of Light Entering the Material, Absorption per Concentration Coefficient, Concentration of Absorption Material & Path Length 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 Intensity of Transmitted Light?

In this formula, Intensity of Transmitted Light uses Intensity of Light Entering the Material, Absorption per Concentration Coefficient, Concentration of Absorption Material & Path Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption Coefficient*Path Length)

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