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The plug flow reactor design equation resembles that of

  • A.a semi-batch reactor of any kind
  • B.no other reactor at all whatever
  • C.a batch reactor with time replaced
  • D.a CSTR at the very same conditions

Answer: C

Correct answer: a batch reactor with time replaced

Both integrate the same expression: \[ t = \int_0^{X}\frac{C_{A0}\,dX}{-r_A} \quad\text{and}\quad \tau = \int_0^{X}\frac{C_{A0}\,dX}{-r_A}. \] In the batch reactor the composition changes with time in a fixed volume; in the PFR it changes with position as a fluid element travels. A batch result can therefore be carried straight over to a PFR by reading time as space time.

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