PS9KEYF07 - Chemistry 391 PS9 KEY 1. From problem...

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1 Chemistry 391 Fall 2007 PS9 KEY 1. From problem statement, for isoproponal * 1 1008 Torr P = and for n- decane * 2 48.3 Torr P = . Using the relations * , / g i i total i i i Px P aPP == , and i i l i a x γ = , the Raoult’s law standard state, the calculated activities and activity coefficients are: P (Torr) 2 l x 2 g x a 1 a 2 γ 1 γ 2 942.6 0.1312 0.0243 0.912 0.474 1.05 3.61 909.6 0.2040 0.0300 0.875 0.565 1.10 2.77 883.3 0.2714 0.0342 0.846 0.625 1.16 2.30 868.4 0.3360 0.0362 0.831 0.651 1.25 1.94 830.2 0.4425 0.0411 0.790 0.706 1.42 1.60 2. The data is 2 Br x P (Torr) 2 Br x P (Torr) 0.00394 1.52 0.0130 5.43 0.00420 1.60 0.0236 9.57 0.00599 2.39 0.0238 9.83 0.0102 4.27 0.0250 10.27 and plotted
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2 The best fit line in the plot is ( ) 22 Torr 413 0.063 Br Br Px =− . Therefore, the Henry’s law constant in terms of mole fraction is 413 Torr. 3. Since * 11 1 ln R Tx μμ =+ and Gibbs-Duhem states that () * 1 1 1 2 2 1 2 ln ln xd RT x x dx x d x dR T R T x xx x x μ + . Since 12 1 += , dx dx and the above is 2 2 2 dx T x = . Integrating this gives ln CR T x = + with C a constant of integration. C can be fixed by noting that, since by assumption the relation holds over the entire composition range, we let 2 1 x whereby 2 * C = , the pure 2 value.
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PS9KEYF07 - Chemistry 391 PS9 KEY 1. From problem...

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