Calculate the length (in meters) of a tubular reactor required for the production of ethylene from ethane based on the following considerations: (1) the reactor is fed with a mixture of ethane (400 g/s) and nitrogen (400 g/s). (2) the reactor operates at 1000 K and atmospheric pressure. (3) the reaction is first-order irreversible. (4) the reaction rate constant, at a temperature of 1000 K, is 0.254 s-1 (5) - The conversion of ethane at the reactor output is 25% (6) - The internal diameter of the reactor is 40 cm.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Calculate the length (in meters) of a tubular reactor required for the production of ethylene from ethane based on the following considerations:
(1) the reactor is fed with a mixture of ethane (400 g/s) and nitrogen (400 g/s).
(2) the reactor operates at 1000 K and atmospheric pressure.
(3) the reaction is first-order irreversible.
(4) the reaction rate constant, at a temperature of 1000 K, is 0.254 s-1
(5) - The conversion of ethane at the reactor output is 25%
(6) - The internal diameter of the reactor is 40 cm.

 

Expert Solution
Step 1

Given that,

The mass flow rate of ethane mA = 400 g/s

The mass flow rate of nitrogen mB = 400 g/s

Temperature T = 1000 K

Pressure P = 1 atm = 101325 Pa

The reaction is first order

Rate constant K = 0.254 s-1

Conversion of ethane xA = 0.25

Internal diameter of the reactor D = 40 cm = 0.4 m

It is required to calculate the length of the tubular reactor.

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