Solve part (C) only!! thanks 0. The mole fraction ofAin the gas at z=0 is X40. The system is at constant temperature and pressure and the gas mixtureis ideal, so that the total molar concentration...


Solve part (C) only!! thanks


A pure liquid composed of species A is brought into contact with a stagnant gas which<br>initially contains only species B. Evaporation of the liquid begins at ! =0, leading to a mixture of<br>A and B in the gas; B is insoluble in the liquid and therefore remains in the gas phase. The<br>liquid interface is maintained at z=0, and the gas occupies the space z>0. The mole fraction of<br>Ain the gas at z=0 is X40. The system is at constant temperature and pressure and the gas mixture<br>is ideal, so that the total molar concentration in the gas is constant,<br>(a) Show that the mole fraction of A in the gas, x,(z, t), is governed by<br>DAB<br>-DAN<br>at<br>f)<br>dz<br>xa(z, 0) =0,<br>xa(0, 1) =X40-<br>xa(00, 1) =0.<br>(b) Using a similarity variable (g) analogous to that in Section 3.5, show that ,<br>de<br>+2(n-4)<br>=0,<br>dn<br>up<br>O(c0) =0,<br>O(0) = 1.<br>where O(n)=x,lxan. The unknown constant o is determined later [see part (d)).<br>(c) Determine 0(n).<br>

Extracted text: A pure liquid composed of species A is brought into contact with a stagnant gas which initially contains only species B. Evaporation of the liquid begins at ! =0, leading to a mixture of A and B in the gas; B is insoluble in the liquid and therefore remains in the gas phase. The liquid interface is maintained at z=0, and the gas occupies the space z>0. The mole fraction of Ain the gas at z=0 is X40. The system is at constant temperature and pressure and the gas mixture is ideal, so that the total molar concentration in the gas is constant, (a) Show that the mole fraction of A in the gas, x,(z, t), is governed by DAB -DAN at f) dz xa(z, 0) =0, xa(0, 1) =X40- xa(00, 1) =0. (b) Using a similarity variable (g) analogous to that in Section 3.5, show that , de +2(n-4) =0, dn up O(c0) =0, O(0) = 1. where O(n)=x,lxan. The unknown constant o is determined later [see part (d)). (c) Determine 0(n).

Jun 09, 2022
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