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PLEASE HELP ME! CHEMISTRY

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Naturally occurring cobalt consists of only one isotope, cobalt59, whose relative atomic mass is 58.9332. A synthetic radioactive isotope of cobalt60, relative atomic mass 59.9338, is used in radiation therapy for cancer. A 1.8155 sample of cobalt has an apparent "atomic mass" of 58.9901.

FIND THE MASS OF COBALT60 IN THIS SAMPLE.

I DON'T KNOW WHERE TO START, I TRIED DOING CONVERSION FACTORS BUT I CANT GET A REASONABLE MASS.

HELP?

  • PLEASE HELP ME! CHEMISTRY -

    Let x = fractional abundance Co60
    1-x = fractional abundance Co59
    (Note that as percentages that will be x% and 100%-x%). Then
    x(atomic mass Co60) + (1-x)(atomic mass Co59) = 58.8901
    Solve for x and 1-x will give you the fractinal abundances of Co59 and Co60. Then fraction * 1.8155g = grams Co60 or Co59 depending upon which fraction you use. Post your work if you get stuck.

  • PLEASE HELP ME! CHEMISTRY -

    I get....
    (x)(59.9338) +(1-x)(58.9332) =(58.9901)
    59.9338x+58.9332-58.9332x=58.9901
    1.0006x=0.0560
    x=0.0569

    cobalt60 abundance=0.0569%
    cobalt59 abundance=0.9431%

    0.0569/0.9431 X 1.8155g = .10953grams
    Is that right?? It looks like i did it wrong.

  • PLEASE HELP ME! CHEMISTRY -

    We get...
    OH wait, do we do

    0.0569 X 1.8155g = 0.103g ?

    so cobalt60=0.103g

  • PLEASE HELP ME! CHEMISTRY -

    Thanks!

  • PLEASE HELP ME! CHEMISTRY -

    Everything looks ok except where you converted to percent (which the problem didn't ask for). x = 0.0560 = Co60 abundance which is 5.60% if yu want to convert to percent.

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