Concentration of Solution given Intensities of Radiation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Concentration of Solution = log10(Intensity of Incident Radiation/Intensity of Reflected Radiation)*(1/(Thickness of Cell*Molar Extinction Coefficient))
c = log10(Ii/Ir)*(1/(l*ε))
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
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.
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 Reflected Radiation - (Measured in Watt per Square Meter Steradian) - Intensity of Reflected Radiation is the intensity of the radiation reflected by a surface.
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.
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.
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 Reflected Radiation: 6 Watt per Square Meter Steradian --> 6 Watt per Square Meter Steradian No Conversion Required
Thickness of Cell: 50.5 Nanometer --> 5.05E-08 Meter (Check conversion here)
Molar Extinction Coefficient: 19 Square Centimeter per Mole --> 0.0019 Square Meter per Mole (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
c = log10(Ii/Ir)*(1/(l*ε)) --> log10(200/6)*(1/(5.05E-08*0.0019))
Evaluating ... ...
c = 15871586714.7508
STEP 3: Convert Result to Output's Unit
15871586714.7508 Mole per Cubic Meter --> No Conversion Required
FINAL ANSWER
15871586714.7508 1.6E+10 Mole per Cubic Meter <-- Concentration of Solution
(Calculation completed in 00.004 seconds)

Credits

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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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

Concentration of Solution given Intensities of Radiation Formula

Concentration of Solution = log10(Intensity of Incident Radiation/Intensity of Reflected Radiation)*(1/(Thickness of Cell*Molar Extinction Coefficient))
c = log10(Ii/Ir)*(1/(l*ε))

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 Concentration of Solution given Intensities of Radiation?

Concentration of Solution given Intensities of Radiation calculator uses Concentration of Solution = log10(Intensity of Incident Radiation/Intensity of Reflected Radiation)*(1/(Thickness of Cell*Molar Extinction Coefficient)) to calculate the Concentration of Solution, The Concentration of solution given intensities of radiation formula is defined as the quantity of a solute that is contained in a particular quantity of solvent or solution. Concentration of Solution is denoted by c symbol.

How to calculate Concentration of Solution given Intensities of Radiation using this online calculator? To use this online calculator for Concentration of Solution given Intensities of Radiation, enter Intensity of Incident Radiation (Ii), Intensity of Reflected Radiation (Ir), Thickness of Cell (l) & Molar Extinction Coefficient (ε) and hit the calculate button. Here is how the Concentration of Solution given Intensities of Radiation calculation can be explained with given input values -> 1.6E+10 = log10(200/6)*(1/(5.05E-08*0.0019)).

FAQ

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