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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/I)*(1/(ε*c))
This formula uses 2 Functions, 4 Variables
Functions Used
log10 - Common logarithm function (base 10), log10(Number)
log - Logarithm function, log(Number, Base)
Variables Used
Intensity of incident radiation - Intensity of incident radiation is the radiation intensity of incident radiation on a surface. (Measured in Watt per Square Meter Steradian)
Intensity of transmitted radiation - Intensity of transmitted radiation is the radiant flux emitted, reflected, transmitted or received by a surface, per unit solid angle per unit projected area. (Measured in Watt per Square Meter Spat)
Molar extinction coefficient - Molar extinction coefficient is a measure of how strongly a chemical species or substance absorbs light at a particular wavelength. (Measured in Square Centimeter per Mole)
Concentration of solution - Concentration of solution is the quantity of a solute that is contained in a particular quantity of solvent or solution. (Measured in Mole per Meter³)
STEP 1: Convert Input(s) to Base Unit
Intensity of incident radiation: 1 Watt per Square Meter Steradian --> 1 Watt per Square Meter Steradian No Conversion Required
Intensity of transmitted radiation: 10 Watt per Square Meter Spat --> 0.795800000000001 Watt per Square Meter Steradian (Check conversion here)
Molar extinction coefficient: 10 Square Centimeter per Mole --> 0.001 Square Meter per Mole (Check conversion here)
Concentration of solution: 100 Mole per Meter³ --> 100 Mole per Meter³ No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = log10(Ii/I)*(1/(ε*c)) --> log10(1/0.795800000000001)*(1/(0.001*100))
Evaluating ... ...
l = 0.9919606518963
STEP 3: Convert Result to Output's Unit
0.9919606518963 Meter --> No Conversion Required
FINAL ANSWER
0.9919606518963 Meter <-- Thickness of cell
(Calculation completed in 00.016 seconds)

10+ Beer-Lambert law Calculators

Molar extinction coefficient given intensities of radiation
molar_extinction_coefficient = log10(Intensity of incident radiation/Intensity of transmitted radiation)*(1/(Thickness of cell*Concentration of solution)) Go
Molar extinction coefficient
molar_extinction_coefficient = Absorbance/(Concentration of solution*Thickness of cell) Go
Concentration of solution
concentration_of_solution = Absorbance/(Thickness of cell*Molar extinction coefficient) Go
Thickness of cell
thickness_of_cell = Absorbance/(Molar extinction coefficient*Concentration of solution) Go
Beer-Lambert law in terms of intensity of radiation
absorbance = log10(Intensity of incident radiation/Intensity of transmitted radiation) Go
Beer-Lambert Law
absorbance = Molar extinction coefficient*Concentration of solution*Thickness of cell Go
Intensity of transmitted radiation
intensity_of_transmitted_radiation = Intensity of incident radiation/10^(Absorbance) Go
Intensity of incident radiation
intensity_of_incident_radiation = Intensity of transmitted radiation*10^(Absorbance) Go
Slope of absorbance vs concentration plot
slope_of_line = Molar extinction coefficient*Thickness of cell Go
Thickness of cell given slope
thickness_of_cell = Slope of Line/Molar extinction coefficient Go

Thickness of cell given intensities of radiation Formula

thickness_of_cell = log10(Intensity of incident radiation/Intensity of transmitted radiation)*(1/(Molar extinction coefficient*Concentration of solution))
l = log10(Ii/I)*(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 (I), 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 -> 0.991961 = log10(1/0.795800000000001)*(1/(0.001*100)).

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/I)*(1/(ε*c)) or thickness_of_cell = log10(Intensity of incident radiation/Intensity of transmitted radiation)*(1/(Molar extinction coefficient*Concentration of solution)). Intensity of incident radiation is the radiation intensity of incident radiation on a surface, 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 is a measure of how strongly a chemical species or substance absorbs light at a particular wavelength & 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 (I), 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 10 other way(s) to calculate the same, which is/are as follows -
  • absorbance = log10(Intensity of incident radiation/Intensity of transmitted radiation)
  • absorbance = Molar extinction coefficient*Concentration of solution*Thickness of cell
  • concentration_of_solution = Absorbance/(Thickness of cell*Molar extinction coefficient)
  • intensity_of_incident_radiation = Intensity of transmitted radiation*10^(Absorbance)
  • intensity_of_transmitted_radiation = Intensity of incident radiation/10^(Absorbance)
  • molar_extinction_coefficient = Absorbance/(Concentration of solution*Thickness of cell)
  • slope_of_line = Molar extinction coefficient*Thickness of cell
  • thickness_of_cell = Absorbance/(Molar extinction coefficient*Concentration of solution)
  • thickness_of_cell = Slope of Line/Molar extinction coefficient
  • molar_extinction_coefficient = log10(Intensity of incident radiation/Intensity of transmitted radiation)*(1/(Thickness of cell*Concentration of solution))
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