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Simple Algebra (Concentration)

  1. Jan 25, 2005 #1

    DB

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    Having a little trouble tackling this one.
    "What is the concentration of a 500 ml solution if, when diluted to a volume of 2 Liters, its new concentration becomes 20 g/L?"

    Here what I did, all in ml.

    [tex]\frac{x}{500+1500}[/tex]

    [tex]\frac{x}{2000}=\frac{20}{1000}[/tex]

    [tex]\frac{20*2000}{1000}=40=x[/tex]

    [tex]\frac{40}{2000}=\frac{10}{500}[/tex]

    Obviously the anwser cant be 10g/500ml, can someone help me out?
    Thanks
     
  2. jcsd
  3. Jan 25, 2005 #2

    Doc Al

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    Staff: Mentor

    Right. "x" is the quantity of "stuff" in the mix, in g. That stuff doesn't change when you dilute it, so 40g of stuff must have been in the original 500ml. Now can you calculate the original concentration?
     
  4. Jan 25, 2005 #3

    DB

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    O so do you mean that solute is 40g for 2000ml and aswell for 500ml? Making the answer 40g/500ml?
     
  5. Jan 25, 2005 #4

    Doc Al

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    Staff: Mentor

    Yes. That's what I would say.
     
  6. Jan 25, 2005 #5

    DB

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    Thanks for all your help :rofl:
     
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