Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

In a plant producing styrene (CH:CH-CH2) from ethylbenzene (CH:C_Hz), hydrogen (H) is also generated as the by-product. Accordingly, hydrogen is to be removed from the

image text in transcribed

In a plant producing styrene (CH:CH-CH2) from ethylbenzene (CH:C_Hz), hydrogen (H) is also generated as the by-product. Accordingly, hydrogen is to be removed from the effluent stream of the dehydrogenation reactor to recover pure styrene. Taking the striking difference in molecular size between styrene and hydrogen as a technical advantage, a membrane pipe system is in operation, as depicted in the Figure below. -Sweep gas Hg CH3CH=CH, H CH,CH=CH, HE membrane m The gas mixture (behaving as ideal gas) flows through the pipe in which hydrogen selectively exits through the membrane and is swiftly swept by sweep gas. The mass flux of the hydrogen jum through the pores of the membrane is expressed as Jum = k (C#m - C5) where k is the mass transfer coefficient (ms) Cum is the hydrogen concentration (mol m) at the inner surface of the membrane and C#, is the hydrogen concentration (mol m) at the outer surface of the membrane. a) In the case of plug-like flow of the gas: (i) Perform the first-principle modelling and show (handwritten) that the partial pressure of hydrogen (Pr, bar) along the axial (z) direction can be expressed as: 2k VOR PH where vo is the axial velocity of the gas and R is the pipe radius. Write down all steps that you take to obtain the above model in detail! (ii) Clearly state the list of assumptions to obtain the above model! (iii) Clearly define the boundary conditions(s) that are applicable to the model! dPM = dz

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Bioprocess Engineering Basic Concepts

Authors: Michael L. Shuler, Fikret Kargi

1st Edition

0134782151, 978-0134782157

More Books

Students also viewed these Chemical Engineering questions

Question

=+Were these signals effective?

Answered: 1 week ago