Intensity of Transmitted Radiation given Concentration of Solution Solution

STEP 0: Pre-Calculation Summary
Formula Used
Intensity of Transmitted Radiation = Intensity of Incident Radiation/exp(Molar Extinction Coefficient*Thickness of Cell*Concentration of Solution)
Iradiation = Ii/exp(ε*l*c)
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 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.
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.
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.
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
Molar Extinction Coefficient: 19 Square Centimeter per Mole --> 0.0019 Square Meter per Mole (Check conversion here)
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
Iradiation = Ii/exp(ε*l*c) --> 200/exp(0.0019*5.05E-08*97)
Evaluating ... ...
Iradiation = 199.99999813857
STEP 3: Convert Result to Output's Unit
199.99999813857 Watt per Square Meter Steradian --> No Conversion Required
FINAL ANSWER
199.99999813857 200 Watt per Square Meter Steradian <-- Intensity of Transmitted Radiation
(Calculation completed in 00.004 seconds)

Credits

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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

Intensity of Transmitted Radiation given Concentration of Solution Formula

Intensity of Transmitted Radiation = Intensity of Incident Radiation/exp(Molar Extinction Coefficient*Thickness of Cell*Concentration of Solution)
Iradiation = Ii/exp(ε*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 Intensity of Transmitted Radiation given Concentration of Solution?

Intensity of Transmitted Radiation given Concentration of Solution calculator uses Intensity of Transmitted Radiation = Intensity of Incident Radiation/exp(Molar Extinction Coefficient*Thickness of Cell*Concentration of Solution) to calculate the Intensity of Transmitted Radiation, The Intensity of transmitted radiation given concentration of solution formula is defined as the radiant flux emitted, reflected, transmitted or received by a surface, per unit solid angle per unit projected area. Intensity of Transmitted Radiation is denoted by Iradiation symbol.

How to calculate Intensity of Transmitted Radiation given Concentration of Solution using this online calculator? To use this online calculator for Intensity of Transmitted Radiation given Concentration of Solution, enter Intensity of Incident Radiation (Ii), Molar Extinction Coefficient (ε), Thickness of Cell (l) & Concentration of Solution (c) and hit the calculate button. Here is how the Intensity of Transmitted Radiation given Concentration of Solution calculation can be explained with given input values -> 200 = 200/exp(0.0019*5.05E-08*97).

FAQ

What is Intensity of Transmitted Radiation given Concentration of Solution?
The Intensity of transmitted radiation given concentration of solution formula is defined as the radiant flux emitted, reflected, transmitted or received by a surface, per unit solid angle per unit projected area and is represented as Iradiation = Ii/exp(ε*l*c) or Intensity of Transmitted Radiation = Intensity of Incident Radiation/exp(Molar Extinction Coefficient*Thickness of Cell*Concentration of Solution). The Intensity of Incident Radiation is the radiation intensity of incident radiation on a surface, The Molar Extinction Coefficient is a measure of how strongly a chemical species or substance absorbs light at a particular wavelength, 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 Intensity of Transmitted Radiation given Concentration of Solution?
The Intensity of transmitted radiation given concentration of solution formula is defined as the radiant flux emitted, reflected, transmitted or received by a surface, per unit solid angle per unit projected area is calculated using Intensity of Transmitted Radiation = Intensity of Incident Radiation/exp(Molar Extinction Coefficient*Thickness of Cell*Concentration of Solution). To calculate Intensity of Transmitted Radiation given Concentration of Solution, you need Intensity of Incident Radiation (Ii), Molar Extinction Coefficient (ε), Thickness of Cell (l) & Concentration of Solution (c). With our tool, you need to enter the respective value for Intensity of Incident Radiation, Molar Extinction Coefficient, 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 Intensity of Transmitted Radiation?
In this formula, Intensity of Transmitted Radiation uses Intensity of Incident Radiation, Molar Extinction Coefficient, Thickness of Cell & Concentration of Solution. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Intensity of Transmitted Radiation = Intensity of Incident Radiation/10^(Absorbance)
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