Question

1. A still pot initially contains 55 mole % of solute A and 45 mole % of solute B. The mixture is separated into a distillate and a residue using simple distillation. Solute A is more volatile than solute B, and the relative volatility of solute A to solute B is constant. The initial amount of solute A is 150 moles. At the end of the distillation, 87 moles of distillate are produced, and the residue in the still pot contains 36 mole % of solute A. Most nearly, what is the mole fraction of solute A in the distillate? (A) 54% (B) 59% (C) 72% (D) 77%

Answer 1

C/ Desiiate 55% A nilcally 150 Mals ofA pesin Tatal Amount prumt trutially F(O 55150 F272.72 Malis 87 Maus Destillati al tu endl D. Residue F-D W w 185.7272 Malu Relatu fda tnfF 1 y-x olatlity esn

Aelatiu fdr y- olallity f - 146-1) t R-Dxdx cal-D(-)

f da drt do n F X 1- 1-x odw Con-Ba-)en -) en-nli-x))+ tIm 1- 1-w LI-

212.72 O.55 0.64 +n -1272 0.69 O.36 e136013 L Lor77603 d2.05 3802 -.O53803 x0.30 aw 1+ 1.053803xo,36 F Rw av tb-1)lw 0.536019

Prees Rapaiga e Creet Total Matial Bulanes - dL= dD At timut Matuial Gaunidtn Matiual tost byfot Balance Cempenunt dci)ydo for A

Ldor =4dDtdL Since dL dD we haue dLdlo sb L
Yav needs to be taken you see at times y will be changing slowly but yes it is changing so where it is stored , it will also change and at the end of distillate we get an average distilled A and it's mole fraction as yad

The correct answer according to me is 54%

A given is 150 moles but we need to calculate total moles which includes both A and B which is done here

Rayleigh equation is used to calculate relative volatility and through which we calculate y average

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