Carbon disulfide (A) is evaporating into air (B) at 35 C (Pv.p.c. =510 mm Hg) and 1 atm from the bottom of a 1.0 cm diameter vertical tube. The distance from the CS2 surface to the open end is 20.0 cm, and this is held constant by continuous addition of liquid CS2 from below. The experiment is arranged so that the vapor concentration of CS2 at the open end is zero.
(a) Calculate the molecular diffusivity of CS2 in air (Dca) and its vapor pressure at 35°C.
(b) Find the molar and mass fluxes (WAz, and nc of CS2) in the tube.
(c) Calculate the following properties at 0.0, 5.0, 10.0, 15.0, 18.0, and 20.0 cm from the CS2 surface. Arrange columns in the following order on one sheet of paper. (Additional columns may be included for computational purposes if desired.) On a separate sheet give the relations used to obtain each quantity. Try to put each relation into a form involving the minimum computation and the highest accuracy:
(1) yA and _yB (mole fractions), CA
(2) VA, VB, V*, V (mass velocity)
(3) JA, JB
(d) Plot each of the groups of quantities in (c)(1),(2), and(3) on separate graphs. Name all variables and show units. Do not plot those parameters in parentheses.
(e) What is the rate of evaporation of CS2 in cm/day?
(f) Discuss the physical meaning of the value of VA and JA at the open end of the tube.
(g) Ismolecular diffusion of air taking place?
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