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Math Help - How do I find the concentration of this?

  1. #1
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    How do I find the concentration of this?

    If I add 10mL of Apple Juice to 100mL of Water, what is the concentration?
    Assume that the density of the Apple Juice is 1g/mL.

    If I add 10mL of Orange Juice to 100mL of Water, what is the concentration?
    Assume that the density of the Orange Juice is 2.02g/mL.

    What is the concentration:
    1) as a percent (ie. X% of Apple Juice; Y% of Orange Juice)
    2) in the units g/L (ie. Xg/L of Apple Juice; Yg/L Orange Juice)

    I'm not really sure how I would figure out these problems.

    ------------------------------
    I know that if I added 5mL of Apple Juice to 1000mL (1L) of Water, I would get 0.49%.

    Density of the Apple Juice = 1g/mL
    5mL + 1000mL = 1005 mL of solution
    5g in 1005mL (solution)
    X in 100mL (solution)
    5 x 100 / 1005 = 0.49% (as weight/volume)

    I'm struggling to find a way to apply this working out with the above two problems.
    ------------------------------

    Any help is much appreciated.

    Thank you!
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  2. #2
    MHF Contributor
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    Re: How do I find the concentration of this?

    Quote Originally Posted by MagicMarker View Post
    If I add 10mL of Apple Juice to 100mL of Water, what is the concentration?
    Assume that the density of the Apple Juice is 1g/mL.

    If I add 10mL of Orange Juice to 100mL of Water, what is the concentration?
    Assume that the density of the Orange Juice is 2.02g/mL.

    What is the concentration:
    1) as a percent (ie. X% of Apple Juice; Y% of Orange Juice)
    2) in the units g/L (ie. Xg/L of Apple Juice; Yg/L Orange Juice)

    I'm not really sure how I would figure out these problems.

    ------------------------------
    I know that if I added 5mL of Apple Juice to 1000mL (1L) of Water, I would get 0.49%.

    Density of the Apple Juice = 1g/mL
    5mL + 1000mL = 1005 mL of solution
    5g in 1005mL (solution)
    X in 100mL (solution)
    5 x 100 / 1005 = 0.49% (as weight/volume)

    I'm struggling to find a way to apply this working out with the above two problems.
    ------------------------------

    Any help is much appreciated.

    Thank you!
    To find concentration of apple juice in the solution, you must calculate total grams of apple divided by total volume of the solution. Let's find total volume first. 10mL of apple juice + 100 mL of water = 110 mL solution. Now let's find total grams of apple using the given density. 1g/mL apple juice * 10 mL of apple juice = 10 g of apple juice.

    10 g apple juice/ 110 mL solution = 1g/11mL apple juice. This is the concentration of apple juice. You can do this for the following question as well. Try it out!
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  3. #3
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    Joined
    Jun 2011
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    Re: How do I find the concentration of this?

    So:

    Volume:
    10mL of Orange Juice + 100mL of Water = 110mL solution

    Total grams:
    2.02g/mL Orange Juice * 10mL of Orange Juice = 20.2g Orange Juice

    Concentration:
    20.2g Orange Juice/110mL solution = 0.1836363636

    Is "0.1836363636" correct?
    How do I put this in the format "g/L"? And as a "percent"?

    I'm sorry, I find this very confusing..

    Please help me..
    Thanks
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