Math Problem Statement

Using the calibration curve, calculate the molar concentration for a solution with a measured absorbance of 0.212.

Solution

The graph shows a calibration curve with the equation y=2755xy = 2755x, where yy is the absorbance, and xx is the concentration (in molarity, MM).

You are asked to calculate the molar concentration for a solution with a measured absorbance of 0.212.

We can use the given linear equation to find the concentration:

y=2755xy = 2755x

Substitute y=0.212y = 0.212 for the absorbance:

0.212=2755x0.212 = 2755x

Now solve for xx:

x=0.2122755x = \frac{0.212}{2755}

Let me calculate that for you.The concentration xx is approximately 7.70×105M7.70 \times 10^{-5} \, M.

Thus, the molar concentration is:

Concentration=7.70×105M\text{Concentration} = 7.70 \times 10^{-5} \, M

Would you like further details or clarifications on this?

Here are some related questions:

  1. What is the significance of the calibration curve in experiments?
  2. How can we improve the accuracy of absorbance measurements?
  3. How does Beer's Law relate to the equation of the calibration curve?
  4. What happens if the absorbance exceeds the linear range of the calibration curve?
  5. How is molar absorptivity determined in spectrophotometry?

Tip: Always check that the absorbance values fall within the linear region of the calibration curve to ensure accurate concentration calculations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Concentration and Absorbance

Formulas

y = 2755x
x = y / 2755

Theorems

Beer-Lambert Law

Suitable Grade Level

Grades 9-12