1.

For a first order reaction, where k is the first order rate constant, the conversion for N tanks in series is obtained as ____(a) XA = 1-\(\frac{1}{(1+\frac{τk}{N})^N} \)(b) XA = 1+\(\frac{1}{(1+\frac{τk}{N})^N} \)(c) XA = \(\frac{1}{(1+\frac{τk}{N})^N} \)(d) XA = \(\frac{1}{(1+\frac{τk}{N})^N} \)– 1The question was posed to me by my school principal while I was bunking the class.I'm obligated to ask this question of Tanks in Series Model in chapter Compartment Models, Models for Non Ideal Reactors of Chemical Reaction Engineering

Answer»

Correct choice is (a) XA = 1-\(\FRAC{1}{(1+\frac{τk}{N})^N} \)

The BEST explanation: For N tanks in series, the combination APPROACHES non – ideal PFR behaviour. The concentration in the N^th CSTR is GIVEN as CN = \(\frac{C_0}{(1+ τk)^N}.\frac{C_N}{C_0} = \frac{1}{(1+ τk)^N}.\) XA = 1 – \(\frac{C_N}{C_0}.\) For N – tanks, XA = 1-\(\frac{1}{(1+\frac{τk}{N})^N}. \)



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