Thickness of Cell given Intensities of Radiation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thickness of Cell = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)*(1/(Molar Extinction Coefficient*Concentration of Solution))
l = log10(Ii/Iradiation)*(1/(ε*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
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.
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.
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.
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
Molar Extinction Coefficient: 19 Square Centimeter per Mole --> 0.0019 Square Meter per Mole (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
l = log10(Ii/Iradiation)*(1/(ε*c)) --> log10(200/75)*(1/(0.0019*97))
Evaluating ... ...
l = 2.31127906821639
STEP 3: Convert Result to Output's Unit
2.31127906821639 Meter -->2311279068.21639 Nanometer (Check conversion ​here)
FINAL ANSWER
2311279068.21639 2.3E+9 Nanometer <-- Thickness of Cell
(Calculation completed in 00.007 seconds)

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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K J Somaiya College of science (K J Somaiya), Mumbai
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Beer Lambert law Calculators

Concentration of Solution
​ LaTeX ​ Go Concentration of Solution = Absorbance/(Thickness of Cell*Molar Extinction Coefficient)
Beer-Lambert law given Intensity of Radiation
​ LaTeX ​ Go Absorbance = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)
Absorbance using Beer-Lambert Law
​ LaTeX ​ Go Absorbance = Molar Extinction Coefficient*Concentration of Solution*Thickness of Cell
Intensity of Incident Radiation
​ LaTeX ​ Go Intensity of Incident Radiation = Intensity of Transmitted Radiation*10^(Absorbance)

Thickness of Cell given Intensities of Radiation Formula

​LaTeX ​Go
Thickness of Cell = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)*(1/(Molar Extinction Coefficient*Concentration of Solution))
l = log10(Ii/Iradiation)*(1/(ε*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 Thickness of Cell given Intensities of Radiation?

Thickness of Cell given Intensities of Radiation calculator uses Thickness of Cell = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)*(1/(Molar Extinction Coefficient*Concentration of Solution)) to calculate the Thickness of Cell, The Thickness of cell given intensities of radiation formula is useful in calculating the concentration of a solution on the basis of its light absorption. Thickness of Cell is denoted by l symbol.

How to calculate Thickness of Cell given Intensities of Radiation using this online calculator? To use this online calculator for Thickness of Cell given Intensities of Radiation, enter Intensity of Incident Radiation (Ii), Intensity of Transmitted Radiation (Iradiation), Molar Extinction Coefficient (ε) & Concentration of Solution (c) and hit the calculate button. Here is how the Thickness of Cell given Intensities of Radiation calculation can be explained with given input values -> 2.3E+18 = log10(200/75)*(1/(0.0019*97)).

FAQ

What is Thickness of Cell given Intensities of Radiation?
The Thickness of cell given intensities of radiation formula is useful in calculating the concentration of a solution on the basis of its light absorption and is represented as l = log10(Ii/Iradiation)*(1/(ε*c)) or Thickness of Cell = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)*(1/(Molar Extinction Coefficient*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, The Molar Extinction Coefficient is a measure of how strongly a chemical species or substance absorbs light at a particular wavelength & The Concentration of Solution is the quantity of a solute that is contained in a particular quantity of solvent or solution.
How to calculate Thickness of Cell given Intensities of Radiation?
The Thickness of cell given intensities of radiation formula is useful in calculating the concentration of a solution on the basis of its light absorption is calculated using Thickness of Cell = log10(Intensity of Incident Radiation/Intensity of Transmitted Radiation)*(1/(Molar Extinction Coefficient*Concentration of Solution)). To calculate Thickness of Cell given Intensities of Radiation, you need Intensity of Incident Radiation (Ii), Intensity of Transmitted Radiation (Iradiation), Molar Extinction Coefficient (ε) & Concentration of Solution (c). With our tool, you need to enter the respective value for Intensity of Incident Radiation, Intensity of Transmitted Radiation, Molar Extinction Coefficient & 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 Thickness of Cell?
In this formula, Thickness of Cell uses Intensity of Incident Radiation, Intensity of Transmitted Radiation, Molar Extinction Coefficient & Concentration of Solution. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Thickness of Cell = Absorbance/(Molar Extinction Coefficient*Concentration of Solution)
  • Thickness of Cell = Slope of Line/Molar Extinction Coefficient
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