The homogeneous gas reaction A Æ3R follows second-order kinetics. For a feed rat
ID: 508037 • Letter: T
Question
The homogeneous gas reaction A Æ3R follows second-order kinetics. For a feed rate of 4m3 /hr of pure A at 5 atm and 350o C, an experimental reactor consisting of a 2.5 cm ID pipe 2 m long gives 60% conversion of feed. A commercial plant is to treat 320 m3 /hr of feed consisting of 50% A, 50% inerts at 25 atm and 350o C to obtain 80% conversion. Assume plug flow in the pipe, negligible pressure drop, and ideal gas behavior.
(a) How many 2-m lengths of 2.5 cm ID pipe are required?
(b) Should they be placed in parallel or in series?
Explanation / Answer
Given data:
Feed flow rate = 4 m3/hr
pressure P1 = 5 atm
Temperature T1 = 350 deg C
Inner diameter of pipe = 2.5 cm
Lenght L1 = 2 m
Conversion of feed = 60%
Feed flow = 320 m3/hr
Feed consisting = 50% & Inerts = 50%
Pressure P2 = 25 atm
Temperature T2 = 350 deg C
Conversion = 80%
Then
P1/r + (V1)2/2g + Z1 = P2/r + (V2)2/2g + Z2 +h
P2<P1
P1/r - hL - P2/r +Z2
5/62.3 - 2 -25/62.3 + 2.5 = 18 mtrs.
(b) Placed in both either parallel or in series
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