3. [8 Points] A treatability study is conducted to investigate the rate at which

Question

3. [8 Points] A treatability study is conducted to investigate the rate at which pentachlorophenol (PCP) can be removed from water. PCP is a common wood preservative and is toxic to humans. The following removal data was collected: a. Is this a zero- or first-order reaction? b. What is the PCP decay coefficient? c. What is the PCP half-life for this removal process? d. If the discharge regulation for PCP is 5 mu g/L, what volume of PFR would be required if the reactor has a flow rate of 100 L/d?

Explanation / Answer

a) since rate is changing it cant be 0 order reaction

because in 0 order reaction rate remains constant

hence its a first order reaction

b) PCP(t) = PCP(0)e^-kt

k = decay coefficient

take t = 1

81/100 =e^-k

ln(81/100) = -k

k = 0.21 day^-1

c) half life = 0.693/k

= 0.693/0.21

= 3.3days

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