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Math Help - Converting solution concentrations

  1. #1
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    Converting solution concentrations

    How do I convert 1,000,000 copies per 5 microliters to copies per milliliter?
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  2. #2
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    Re: Converting solution concentrations

    There are two methods: using common sense and using dimensions. For common sense, answer the following questions.

    (1) Since 5 microliters contain 1,000,000 copies and 1 microliter is 5 times smaller than 5 microliters, how many copies does 1 microliter contains?

    (2) Since 1 milliliter is 1000 times bigger than 1 microliter, how many copies does 1 milliliter contain?

    For dimensions, we know that there are 1000 μl per ml. How to combine \frac{1,000,000\,\text{copies}}{5\,\mu l} and \frac{1000\,\mu l}{1\,ml} to get copies as the answer? It's \frac{1,000,000\,\text{copies}}{5\,\mu l}\cdot \frac{1000\,\mu l}{1\,ml}; then μl cancels out to leave \frac{\text{copies}}{ml}.
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  3. #3
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    Re: Converting solution concentrations

    Obviously I don't have common sense, so thanks for the dimensional help!

    Ok, so just to make sure I've got this right...

    The answer I got was 200,000,000 copies per mL

    Thank you so much for your help...my math brain has been dormant for a very long time!

    Much appreciated!
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  4. #4
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    Re: Converting solution concentrations

    Quote Originally Posted by LuluNeedshelp View Post
    Ok, so just to make sure I've got this right...

    The answer I got was 200,000,000 copies per mL
    That's correct.
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