Question on condensing a gaz mixture problem with Raoult’s Law

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This topic contains 1 reply, has 0 voices, and was last updated by  Ethon 12th May 2018 at 8:52 am.

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    Ethon
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    So, here’s the question which I’m having trouble solving :

    Suppose that we condense a gaz mixture. At 25 celsius, what will be the pressure of benzene and of toluene over the obtained liquid.

    We know that vapor of pur benzene and pur toluene at 25 celsius are 12,7 kPa and 3,79 kPa respectively. We also previously prepared a solution that has equal molar fraction of benzene and toluene. We had to determine the vapor pression of benzene and toluene. (this is an ideal solution)

    This gave us Pbenz=Xbenz * P^o benz= 0.500 * 12.7 kPa = 6,35 kPa

             Ptolz=Xtol * P^o tol= 0.500 * 3.79 = 1.90 kPa
    Total pressure= 6.35 + 1.90 = 8.25 kpa

    finally, there was another question which asked us what was the composition, in molar fraction, of the vapor in balance with the solution of benzene and toluene at 25 celsius.

    This gave us x benz =P benz /Ptotal = 6.35 / 8.25= 0.770

    x tol =P tol /P total = 1.90 / 8.25 = 0.230

    By the way, here’s the answer to my question :

    Ptol = Xtol * P^o tol = 0,770 × 3,79 = 2,91 kPa

    Pbenz = Xbenz * P^o benz = 0,230 × 12,7 = 2,92 kPa

    So, where does the Xtol= 0.770 and Xbenz=0.230 come from ? 

    Thank you

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