Question: A molecule is diffusing from a bulk solution across gel-like membrane into another bulk solution. The membrane is 1 mm in thickness and the temperature

A molecule is diffusing from a bulk solution across gel-like membrane into another bulk solution. The membrane is 1 mm in thickness and the temperature of this system is at 37C. The radius of the molecule is estimated to be 3.90 nm, and the diffusion coefficient of the molecule in water at 25C is 3.14 107 cm2 /s. The polymer fibers in the gel-like membrane have a radius of 2.79 nm. And the length of the fibers per unit volume is 2.05 103 nm2. The value of is 0.57 nm1.

(1) Estimate the effective diffusion coefficient and the membrane permeability of the molecule in this gel-like membrane.

(2) The membrane has an area of 2 cm2. The concentration of the molecule at the two surfaces of the membrane is found to be 1 mM and 0.5 mM. Find the flux and molar transport rate of this molecule across the membrane.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Economics Questions!

Bobcat Company, U.S.-based manufacturer of industrial equipment, just purchased a Korean company that produces plastic nuts and bolts for heavy equipment. The purchase price was Won7,500 million....

For the following three questions, state if you would solve the problem as being in equilibrium, steady state, or neither. A 20 m thick membrane of Pd is exposed to a hydrogen atmosphere with pH2 =...

As part of a bioseparations process, glucose (solute A) in aqueous solution (solvent B) is diffusing across a microporous membrane. The thickness of the membrane is 2.0 mm, and the pores running...

1. Consider two charges as shown in figure below: P r = 2m r = 2m 60 60 +q -q Which of the following is correct for the net electric field Enet and total electric potential Vtotal at point P? A. Enet...

Suppose a particular molecule is diffusing a certain distance through a particular substance. By what factor will the diffusion time change if (a) The distance is doubled, (b) The absolute...

QUESTION 7 82 hours is the average time it takes a diffusing molecule to move 1.24 cm in water. What is the average time in hours it takes this diffusing molecule to move 7.32 cm in water? Enter your...

24.22 coefficient. The molecular diffusion coefficient of roonuciease in water is 1.19106cm2/s at 298K, and the diameter of this a. What is the mol molecule is 3.6nm. pipeline? 24.22 It is desired to...

You need to design a new soda container that has to, among other things, keep oxygen from diffusing into the bottle to save it from spoiling. You are given the information that a total of 2 mg of...

# of particles concentration : C(X) = AV flux : = of molecules crossing surface per unit are per unit time aj continuity egn. ac ot ox Fick's Law: one-dimensional diffusion equ. D= diffusion...

Problem 1 [A Few Random Steps} Consider four molecules, all starting at the origin, which undergo a 1d random walk, each with a 50% chance of going left or right along the x-axis at each time step....

A drilling fluid prepared using two different types of clay was subjected to rotational viscometer test. The solid contents of fluid systems which provides 15 cp apparent viscosity at 600 ipm are...

Partners' capital account A and B formed a partnership and began operation on March 1, 20-. A invested P100,000 cash while B invested equipment with a book value of P300,000 and a fair value of...

Turnover ratios all have one of two figures as numerators. What are they? What do these ratios measure? How do you interpret the results?

The length of the planning horizon is usually between One and three months. Three and eighteen months. One and three year. None of the above

The difference between collecting data using individual interviews and a focus group (e.g., intent, selecting participants, conducting the interview or focus group) Given the topic of research to...

The Shotcrete Construction Company has three (3) concrete plants located in New York, Des Moines, and Denver. Shotcrete also has three (3) construction projects about to get underway in Nashville,...

A cylindrical stone mix concrete beam of diameter D 0.5 m initially at Ti=20 C is exposed to hot gases at T=500 C. The convection coefficient is h=10 W/m2 K. (a) Determine the centerline temperature...

What are the positive and negative consequences of globalization?

What do many organizations use to schedule and coordinate changes for information systems? Question 2 3 options: A . Impact analysis B . Backout plans C . Maintenance windows D . Version control

4. Set up at least one work role that is important for you to master. Reflect on how you can use your time more efficiently, not necessarily spend more time, to perform better in this work role.

3. List four goals that are important to you. Then set up the roles that correspond to these goals. How will you shape your personal vision as a result of your goals and roles?

1. What does this mean for me?