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How to Plot a Standard Addition Curve.

  1. Sep 23, 2011 #1
    1. The problem statement, all variables and given/known data

    The concentration of cadmium in seawater can be determind spectrophotometrically. To six 50.0mL seawater samples, various volumes of a 10.0ppm cadmium solution were added and all were taken through the analytical procedure with the following results:

    Amount Cd Added (mL):
    0
    10
    25
    40
    60
    75

    Absorbance:
    0.230
    0.272
    0.340
    0.416
    0.507
    0.568

    Construct a standard addition calibration plot using EXCEL and calculate [Cd] in seawater in ppm (µg)/mL.\

    I honestly have no idea where to start, so any help will be appreciated.
     
  2. jcsd
  3. Sep 23, 2011 #2

    Borek

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    Staff: Mentor

    Calculate concentrations, plot absorbance vs concentration. Not a rocket science :wink:
     
  4. Sep 23, 2011 #3
    Any chance you'd like to elaborate on that? The stuff in my notes doesn't correspond to what you just said, there's a ton of stuff about dilution factors and what not..

    http://science.widener.edu/svb/mathcad/pdf_docs/std_addition.pdf" [Broken]
     
    Last edited by a moderator: May 5, 2017
  5. Sep 24, 2011 #4

    Borek

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    Staff: Mentor

    Calculating concentrations is just about dilution. Amount of substance in the sample doesn't change (principle of mass conservation), what changes is the volume. Calculate initial amount of Cd in the solution that was added, divide that by final volume (50 mL of sea water + volume of Cd solution) - and you have a concentration. This will give you a series of data points - absorbance (given) vs concentration (calculated).
     
  6. Sep 24, 2011 #5
    Right, ok so once I get the data points, I can plot this in Excel. But then how do I determine the concentration of Cd in seawater? Because wouldn't that be found using the equation

    slope of the line/(molar absorptivity * cell length)?


    Also.. are you taking into consideration that this is 6 different samples? NOt one sample that the sample keeps getting added to? I'm sorry I'm just really really really confused..
     
  7. Sep 24, 2011 #6

    Borek

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    Once you have data points, you can easily determine the slope. Note that if you have a calibration curve you don't have to worry about molar absorptivity nor cell length - all you need are coefficients in the equation absorbance = k*C + intercept (hopefully intercept will equal 0, making it even simpler).

    Yes. Just calculate concentration of Cd for each sample separately. Same procedure each time, just different numbers.

    Obviously, when you add 0 mL of Cd concentration in the sample is zero. Show how you calculate concentration in the sample where 10 mL of Cd solution is added to sea water.
     
  8. Sep 24, 2011 #7

    So then is this answer not right? http://www.cramster.com/answers-sep...ium-seawater-determind-sp_1491656.aspx?rec=0"

    I really am 100% lost and my book isn't helping at all. Ugh.
     
    Last edited by a moderator: Apr 26, 2017
  9. Sep 24, 2011 #8

    Borek

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    Staff: Mentor

    I can't see the answer without registering, and I am not going to.
     
  10. Sep 24, 2011 #9
    oh sorry I didn't realize you had to.
    Okay well here:

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    2hdqp7c.gif
     
  11. Sep 24, 2011 #10

    Borek

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    Staff: Mentor

    Yes, the last section about the need for εb is wrong. That is - it is correct as a part of general case, but here you don't need to know them separately. There is enough information to determine Cd concentration, assuming you will use the same cuvette, the same spectrophotometer and the same procedure.
     
  12. Sep 24, 2011 #11
    Okay great. So I just have a couple more questions...how do I go about finding the slope of the line? And since that last section is wrong, how would I determine Cd concentration?
     
  13. Sep 24, 2011 #12

    Borek

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    Staff: Mentor

    Slope for the data set - with Excel. Don't ask me why, search the help for linear regression or something similar.

    After you do linear regression you will know values of slope and intercept:

    absorbance = slope*concentration + intercept

    (hopefully intercept value will be zero or close to zero). Solve this equation for concentration - and all you will have to do will be to just plug absorbance into the formula.
     
  14. Sep 24, 2011 #13
    Coolio. X intercept or Y intercept
     
  15. Sep 25, 2011 #14

    Borek

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    y = a*x + b, so y=b for x=0. y is absorbance, x is concentration.
     
  16. Sep 26, 2011 #15
    Okay so is this correct?

    y = 0.0558x + 0.1946
    absorbance = 0.0558x * concentration + 0.1946

    absorbance - 0.1946 = concentration
    0.0558

    So then I plug the value 0.230 for absorbance into this formula, and solve, getting 0.6344 ppm?
     
  17. Sep 26, 2011 #16

    Borek

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    Staff: Mentor

    That would be a correct approach, no idea if these numbers are correct.
     
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