Venna, Jasinski, and Carreon of the University of Louisville have pioneered the

Question

Venna, Jasinski, and Carreon of the University of Louisville have pioneered the synthesis and characterization of the zeolitic imidazolate framework, ZIF-8. Tatarko and Willing have studied the heat transfer and adsorption properties of this meso-particle. A picture of the molecule is shown. It is suspected that the total surface area of this molecule is 1300 m^2/gram and the density of this molecule is 1490 kg/m^3. It has been proposed to use this molecule in an adsorption column to capture sour-gas components from Texas natural gas. The column proposed has a diameter of 3 m. and a height of 10 m. Experiments have shown that the void fraction epsilon, in this column packed with ZIF-8 is equal to 0.375. Calculate the total mass of ZIF-8 in this column. A young engineer has measured the velocity of the natural gas through the empty column at 2.0 ft./s. Calculate the channel velocity in the full column. In addition, explain the concept of tortuosity in terms of compressible fluid-flow phenomena.

Explanation / Answer

Ans

Density of the molecule(d)= 1490Kg/m3

Radius of the column (r) = 3/2 m

Height of the column(h)=10m

The mass of the column M= density (d) X volume (pi r2 h) X void fraction

Hence M= 1490 X 3.1415 X (3/2)^2 X 10X 0.375=39495.71 Kg

Channel Velocity

Vd= Darcy velocity = 2 ft/s & void fraction epsilon= 0.375

So the required Velocity Vs= 0.375 XVd = 0.75 ft/s

Tortuosity

This term is used to explain how fluid diffuses in a porous medium. More the tortuosity,

more twisted the fluid flow is in the medium.

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