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Volume expansivity of an ideal solution

  1. Apr 19, 2014 #1

    Maylis

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    Gold Member

    Hello,

    I'm not sure if I'm approaching this the right way, but essentially I used the definition of volume expansivity and a result for the molar volume of an ideal solution to get my expression, so my result is that the claim is wrong. Am I going about this one correctly?
     

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  2. jcsd
  3. Apr 20, 2014 #2

    Maylis

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    Attempt

    ImageUploadedByPhysics Forums1397971552.888599.jpg
     
  4. Apr 21, 2014 #3
    It doesn't look like you did the math correctly.

    [tex]V=n_1\overline{V_1}+n_2\overline{V_2}[/tex]

    [tex]\frac{dV}{dT}=n_1\frac{d\overline{V_1}}{dT}+n_2\frac{\overline{dV_2}}{dT}[/tex]
    [tex]\frac{1}{V}\frac{dV}{dT}=\frac{(n_1\frac{d\overline{V_1}}{dT}+n_2\frac{\overline{dV_2}}{dT})}{n_1\overline{V_1}+n_2\overline{V_2}}[/tex]

    [tex]β=\frac{(n_1\overline{V_1}β_1+n_2\overline{V_2}β_2)}{n_1\overline{V_1}+n_2\overline{V_2}}[/tex]
     
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