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A CFSTR receives a flow rate of 100 m³/sec. There is one influent stream coming into the reactor and one effluent stream leaving the reactor. The concentration of a chemical in the influent stream is reduced by 95% in the reactor. Given, the chemical has a first order decay rate of 0.15/d. Find the volume of the CFSTR (in m³).

A CFSTR receives a flow rate of 100 m³/sec. There is one influent stream coming into the reactor and one effluent stream leaving the reactor. The concentration of a chemical in the influent stream is reduced by 95% in the reactor. Given, the chemical has a first order decay rate of 0.15/d. Find the volume of the CFSTR (in m³).

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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3. A CFSTR receives a flow rate of 100 m³/sec. There is one influent stream coming into the reactor and one effluent stream leaving the reactor. The concentration of a chemical in the influent stream is reduced by 95% in the reactor. Given, the chemical has a first order decay rate of 0.15/d. Find the volume of the CFSTR (in m³).
Transcribed Image Text:3. A CFSTR receives a flow rate of 100 m³/sec. There is one influent stream coming into the reactor and one effluent stream leaving the reactor. The concentration of a chemical in the influent stream is reduced by 95% in the reactor. Given, the chemical has a first order decay rate of 0.15/d. Find the volume of the CFSTR (in m³).
Expert Solution
Step 1

Given data:

Flow rate received by the CFSTR: Q=100 m3/s

The concentration of the chemical in influent stream: C0=100% or 1.0 

The concentration of the chemical in effluent stream: Ct=(100-5)=95% or 0.95 

Decay rate, k=0.15/d

 

The volume(V) of the CFSTR is determined by the formula: 

V=Q×t×86400

Where Q is the flow rate, which is given as Q=100 m3/s

t is the time in days, which is determined by the equation:

t=1k(1Ct-1C0)

 

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