Question

A polyethylene (PE) membrane is being used as an oxygen barrier. Oxygen is being supplied on...

A polyethylene (PE) membrane is being used as an oxygen barrier. Oxygen is being supplied on the high pressure side at 0.25 kg/m3, and on the other side is a vacuum (concentration of oxygen is 0 kg/m3). If the desired flux is 4E-8 kg/m2s, what should the thickness of the PE membrane be? Answer in mm. The diffusion coefficient of oxygen in PE at the operating temperature is 4.5E-11 m2/s.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Given Data:

Flux,

Concentration of oxygen at high pressure side,

Concentration of oxygen at low pressure side,

Diffusion coefficient,

Solution:

Using Fick's first law of diffusion,

Add a comment
Know the answer?
Add Answer to:
A polyethylene (PE) membrane is being used as an oxygen barrier. Oxygen is being supplied on...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A sheet of steel 2.2 mm thick has nitrogen atmospheres on both sides at 1200°C and...

    A sheet of steel 2.2 mm thick has nitrogen atmospheres on both sides at 1200°C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is 6.8 × 10-11 m2/s, and the diffusion flux is found to be 2.5 × 10-7 kg/m2-s. Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 5.1 kg/m3. How far into the sheet from this high-pressure side will...

  • A sheet of steel 3.8 mm thick has nitrogen atmospheres on both sides at 1200°C and...

    A sheet of steel 3.8 mm thick has nitrogen atmospheres on both sides at 1200°C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is 5.1 × 10-11 m2/s, and the diffusion flux is found to be 4.8 × 10-7 kg/m2-s. Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 4.7 kg/m3. How far into the sheet from this high-pressure side will...

  • 9. (4 Marks) A sheet of steel 3 mm thick has nitrogen atmospheres on both sides...

    9. (4 Marks) A sheet of steel 3 mm thick has nitrogen atmospheres on both sides at 900°C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is 1.85 x 10-10 m2/s, and the diffusion flux is found to be 1.0 x 10-7 kg/m2.s. Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 2 kg/m3. How far into the sheet from this...

  • 2. At any location in a dialysis membrane of thickness 2.5 x105 m, the value of...

    2. At any location in a dialysis membrane of thickness 2.5 x105 m, the value of Kim is 0.85 for a solute i. The value of the feed (blood) side mass transfer coefficient for the solute at that location, kir, is 4.6x 105 m/s; the corresponding value on the dialysate side is kip 2.6x10 m/s. The effective diffusion coefficient of the solute in the membrane is 4x1011 m2/s (this incorporates the membrane porosity and tortuosity factors). The feed liquid concentration...

  • Problem 5.09 A sheet of steel 3.6 mm thick has nitrogen atmospheres on both sides at...

    Problem 5.09 A sheet of steel 3.6 mm thick has nitrogen atmospheres on both sides at 1200°C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is 6.9 x 10-11 m2/s, and the diffusion flux is found to be 3.9 x 10 kg/m2-s Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 4.7 kg/m3. How far into the sheet from this high...

  • 5.09 Problem 5.09 A sheet of steel 1.5 mm thick has nitrogen atmospheres on both sides...

    5.09 Problem 5.09 A sheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 12 OC and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is 5.5 × 10-11 m2/s and the diffusion flux s found to be 4.)× 10 7 kg/m2-s Also, t is known that the concentration of nit ogen in the steel at the high pressure surface s 60 kg m3 Ho far into...

  • A membrane process is being designed to recover solute A by dialysis through a membrane. The...

    A membrane process is being designed to recover solute A by dialysis through a membrane. The solute moves from a dilute feed solution (c1 =5 x 10-2 kg mol A/m3) to a fresh dialysate (permeate) solution (c2 = 0.3 x 10-2). The membrane thickness is 30 µm. You also need to know that the distribution coefficient is K’ = 0.75, Ds = 3.5 x 10-11 m2/s in the membrane, the mass-transfer coefficient in the dilute solution is kc1 = 2.5...

  • A sheet of steel 1.7 mm thick has nitrogen atmospheres on both sides at 1200°C and...

    A sheet of steel 1.7 mm thick has nitrogen atmospheres on both sides at 1200°C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is 6.8 x 10-11 m/s, and the diffusion flux is found to be 1.4 x 10 kg/m2-s. Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 5.5 kg/m. How far into the sheet from this high-pressure side will...

  • Current Attempt in Progress Support A sheet of steel 3.7 mm thick has nitrogen atmospheres on...

    Current Attempt in Progress Support A sheet of steel 3.7 mm thick has nitrogen atmospheres on both sides at 1200 C and is permitted to achieve a steady-state diffusion condition. The diffusion coefficient for nitrogen in steel at this temperature is 6.5x 1011 ms. and the diffusion flux is found to be 34x 10 kg/m2-s. Also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 5.8 kg/m. How far into the sheet from...

  • Problem: When alpha-iron is subjected to an atmosphere of hydrogen gas, the concentration of hydrogen in...

    Problem: When alpha-iron is subjected to an atmosphere of hydrogen gas, the concentration of hydrogen in the iron, CH (in weight percent), is a function of hydrogen pressure, PH2 (in Mpa), and asbsolute temperature (T) according to CH= 1.34 X 10-2 sqrt(PH2) exp(- (27.2KJ/mol) / RT) Consider a thin iron membrane with the thickness and temperature listed below. Calculate the flux in (kg/(m2-s)) through this membrane if the hydrogen pressure on one side of the membrane is 0.17 MPa, and...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT