Results 1 to 8 of 8
Like Tree4Thanks
  • 1 Post By emakarov
  • 1 Post By emakarov
  • 2 Post By GJA

Math Help - Dilution Problem

  1. #1
    Newbie
    Joined
    Aug 2012
    From
    Buffalo NY
    Posts
    4

    Dilution Problem

    Can someone please help with this problem. It seems straight forward but the answer in the text is different from the answer I got.

    Question is:
    If 0.5 mL of a mumps virus vaccine contains 5000 units of antigen, how many units would be present in each milliliter if the 0.5 mL of vaccine was diluted to 2 mL with water for injection?

    I tried setting up like this. [0.5][5000] = [2][x]. = 1250 units
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,536
    Thanks
    778

    Re: Dilution Problem

    How many units of antigen are there before dilution? After dilution? What is volume of the diluted solution? What is the number of units per mL after dilution?
    Thanks from djrx
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2012
    From
    Buffalo NY
    Posts
    4

    Re: Dilution Problem

    Thanks. The question is copied verbatim from the textbook.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,536
    Thanks
    778

    Re: Dilution Problem

    Quote Originally Posted by djrx View Post
    The question is copied verbatim from the textbook.
    Does this mean that you now know how to answer it?
    Thanks from djrx
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Aug 2012
    From
    Buffalo NY
    Posts
    4

    Re: Dilution Problem

    I don't understand what u are asking. I showed how I setup my calculation above with the result of 1250. There should be the same # of units in the solution before and after diluting right? 5000. The volume of diluted solution is 2mL
    Follow Math Help Forum on Facebook and Google+

  6. #6
    GJA
    GJA is offline
    Member
    Joined
    Jul 2012
    From
    USA
    Posts
    109
    Thanks
    29

    Re: Dilution Problem

    Hi, djrx.

    If I am understanding the problem correctly (which may not be the case), I think the answer should be 2500 units. If there are 5000 units in .5mL before dilution, then there will be 5000 units in the 2mL after dilution (since the water doesn't contain any antigen). That means that in 1mL of the solution there should be 2500 units. Is this what your book has?

    If I am not understanding or have made an error let me know. Good luck!
    Last edited by GJA; August 3rd 2012 at 08:34 AM.
    Thanks from emakarov and djrx
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Newbie
    Joined
    Aug 2012
    From
    Buffalo NY
    Posts
    4

    Re: Dilution Problem

    Yes, 2500 units is correct. It does make sense the way you solved it. How would you go about setting this up using proportion/ratio? The question is from a chapter on ratios/proportion and i was stuck trying to fit it in a formula. Thank you all for your time.
    Follow Math Help Forum on Facebook and Google+

  8. #8
    GJA
    GJA is offline
    Member
    Joined
    Jul 2012
    From
    USA
    Posts
    109
    Thanks
    29

    Re: Dilution Problem

    If you want to set up an equation like you did in your first post, you were on the right track initially. Take x=number of units in 1mL of solution. That means 2x represents the number of units in 2 mL of solution. As reasoned out in the previous post, we should have 5000 units of antigen in the 2mL of solution. Since 2x is the number of units in 2mL of solution and so is 5000, we get the equality

    5000=2x,

    which it looks like you know how to solve.

    In the first post 2500 was on the left hand side (written as (.5)(5000)). Is this what you were looking for?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Dilution Problem (Probably Separable)
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: January 19th 2011, 02:31 PM
  2. Dilution Help Please! (M1V1=M2V2) *CHEMISTRY*
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: April 5th 2009, 02:17 PM
  3. Dilution Dilemma
    Posted in the Algebra Forum
    Replies: 4
    Last Post: March 21st 2009, 11:21 PM
  4. dilution formula
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: February 12th 2007, 06:17 AM

Search Tags


/mathhelpforum @mathhelpforum