Calculating Molar Concentration for Beers Law Plot

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Discussion Overview

The discussion revolves around calculating molar concentration for a Beer's Law plot using absorbance measurements from diluted solutions. Participants explore the relationships between absorbance, molarity, and the preparation of diluted solutions, while seeking clarity on the correct application of formulas related to concentration and volume.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant describes preparing three diluted solutions from a standard solution and measuring their absorbance at a specific wavelength.
  • Another participant questions the method of calculating the total volume after mixing solutions and suggests that the volume should be approximately the sum of the individual volumes.
  • There is confusion regarding the correct formula for calculating molarity, with some participants asserting that the relationship involves multiplying concentration by volume, while others emphasize the need for division.
  • Participants discuss the need to determine the number of moles of solute in order to calculate molarity, with some suggesting using the molarity of the standard solution and the volume of diluted solutions.
  • Clarifications are made regarding the correct application of the formula for molarity, with emphasis on the distinction between moles and volume in the calculations.

Areas of Agreement / Disagreement

Participants express differing views on the correct approach to calculating molarity and the relationship between absorbance and concentration. The discussion remains unresolved, with multiple competing views on the methodology presented.

Contextual Notes

Participants exhibit uncertainty regarding the correct volumes to use in calculations and the proper interpretation of the formulas for molarity and concentration. There are unresolved mathematical steps related to the calculations of moles and their application in the context of Beer's Law.

jpd5184
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hello everyone, i need to do a beers law plot. i got the percent transmittance which i converted to absorbance but I am not sure how to get the molar concentration.

i found the max wavelength to be 515 nm. I prepared three 8-10ml diluted solutions by mixing a standard solution x (0.100M) and distilled water in ratios of 3:1(6ml standard solution, 2ml water),1:1(5ml of standard solution, 5ml water), and 1:3(2ml standard solution, 6ml water). i measured the absorbance of each of these diluted solutions and the max wavelength and got

3:1 diluted solution 0.294
1:1 diluted solution 0.466
1:3 diluted solution 0.143

i know that molarity = (moles of solute)(liters of solution)

how do i know what the liters of solution is and the moles of solute?
 
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If you mix 5 mL with 2 mL, what volume will you get? (at least approximately)
 
Last edited by a moderator:
it would be 7ml. so would i just multiply the added volumes by the molar concentration to get molarity.

i tried this but when i graphed it, it was not a straight line which it should be.
 
sorry,

its molarity=(moles of solute)(liters of solution)


the one thing i don't get is the beers law graph is absorbance vs molar concentration. so i know the liters of solution for each but don't know the moles.

moles of solute=(molarity)/(liters of solution)

would this be correct
 
jpd5184 said:
sorry,

its molarity=(moles of solute)(liters of solution)

This is still wrong, you should divide, not multiply. Concentration is an amount of substance per volume.
 
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i know its division i could have sworn i put the backslash in there but i quess not. so i know the equation so what volume do i use. would it be the 8ml,10ml, and 8ml in the three solutions
 
8/10/8 looks like a correct final volumes.
 
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so i have the volume and absorbance of each solution, and the molarity of the standard solution.

to graph absorbance vs molarity i need molarity of each solution. to find this out i need to know the moles of each solution so i can divide it by liters to get molarity.

so would i just take the molarity of the standard solution and divide that by the volume of each diluted solution to get moles. but then what volume do i divide this by to get molarity.


just not sure if I am thinking correct or not
 
  • #10
jpd5184 said:
so would i just take the molarity of the standard solution and divide that by the volume of each diluted solution to get moles. but then what volume do i divide this by to get molarity.

No, you don't divide molarity by volume. You divide NUMBER OF MOLES by volume.

And number of moles is volume times concentration. C=n/V, simple algebra and solving for whichever variable is all you need.
 
  • #11
so this is what i did.

i took the moles of standard solution used and multiplied by the molarity of the standard solution to get a number and then divided that number by 100ml to get my molarity

does that sound correct?
 

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