Question

Asked Jan 29, 2019

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Step 1

Part (a)

Note: As the table 1.2 and 1.3 was not provided with the question so, conventional symbols are used in the flowchart.

The symbols used in the process flow diagram prepared for the given process are:

*ṅ* = molar flowrate

*V̇ *= volumetric flowrate

*x _{i}* = mole fraction of the species

Convert the given volumetric flowrate at 60^{°}F and 14.7 psia to 100^{°}F and 800 psia using ideal gas law as:

*V̇ _{1}* = (170000 ft

Use the ideal gas law to calculate molar flowrate as:

*ṅ _{1}* = ((800 psia)*(5206.25 ft

The flow diagram for the given process with all the given data and stream numbers is shown below.

Step 2

Part (b)

Selectivity of Membrane separator is given as:

*x _{3(}*

Also,

*x _{3(}*

Solve the above two equations, so that,

*x _{3(}*

*x _{3(}*

Composition of stream (3) and (4) are same as only temperature and pressure changes.

Apply total mass balance on membrane separator as in equation (1), mass balance on N_{2} as in equation (2) and mass balance on CH_{4} as in equation (3) as:

Step 3

Solve the above three eq...

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