# How Do You Calculate the Percentage Transmission Using the Beer-Lambert Law?

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In summary, the Beer-Lambert Law of Absorption is a mathematical relationship that describes the absorption of light by a solution. It is widely used in scientific research to determine the concentration of a solution and understand the behavior of light. The law is derived from the theories of Beer's Law and Lambert's Law, and has several assumptions such as dilute solutions and constant molar absorptivity. It can be applied in practical experiments using a spectrophotometer to measure absorbance and construct a calibration curve. This allows for the determination of unknown concentrations and monitoring of chemical reactions in real-time.
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An aqueous solution of yeast nucleic acid of length 2.0*10^-2m and concerntrated 2.0mol m-3 has an absorptivity of 25m2 mol-1 at a certain wavelenght. calculate the percentages tranmission at this wavelenght.

this is an example that i don't understant, please help me to simplify it and explain it more for me. you can send me as many example as possible.

thank you for your kind attention.

You can multiply concentration and absorptivity to get the absorption per length. This can be used in the Beer-Lambert law.

## 1. What is the Beer-Lambert Law of Absorption?

The Beer-Lambert Law of Absorption, also known as the Beer-Lambert-Bouguer Law, is a mathematical relationship that describes the absorption of light by a solution. It states that the amount of light absorbed is directly proportional to the concentration of the absorbing species and the path length of the light through the solution.

## 2. What is the significance of the Beer-Lambert Law in scientific research?

The Beer-Lambert Law is widely used in various fields of science, including chemistry, biochemistry, and environmental science. It allows scientists to determine the concentration of a solution by measuring the amount of light it absorbs, providing a quick and accurate method for analysis. It also helps to understand the behavior of light in different media and how it interacts with molecules.

## 3. How is the Beer-Lambert Law derived?

The Beer-Lambert Law is derived from the combined theories of Beer's Law, which states that the absorbance of a solution is directly proportional to its concentration, and Lambert's Law, which states that the absorbance is directly proportional to the path length of the light. By combining these two laws, the Beer-Lambert Law is formulated as A = εcl, where A is the absorbance, ε is the molar absorptivity, c is the concentration, and l is the path length.

## 4. What are the assumptions made in the Beer-Lambert Law?

There are several assumptions made in the Beer-Lambert Law, including: 1) the solution is dilute, meaning that the concentration of the absorbing species is low; 2) the light passes through a uniform solution without being scattered; 3) the absorption is due to a single species; and 4) the molar absorptivity is constant over the entire range of concentrations.

## 5. How can the Beer-Lambert Law be applied in practical experiments?

The Beer-Lambert Law can be applied in practical experiments by using a spectrophotometer to measure the absorbance of a solution at a specific wavelength. By constructing a calibration curve with known concentrations, the concentration of an unknown solution can be determined by measuring its absorbance and using the Beer-Lambert Law equation. This can be useful in various applications, such as determining the concentration of a compound in a sample or monitoring chemical reactions in real-time.

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