A second order liquid phase reaction, A → B, is carried out in a mixed flow reactor operated in semi batch mode (no exit stream). The reactant A at concentration CAF is fed to the reactor at a volumetric flow rate of F. The volume of the reacting mixture is V and the density of the liquid mixture is constant. The mass balance for A is_______________________?
Correct answer: D. d(VCA)/dt = FCAF - kCA2V
- A. d(VCA)/dt = -F (CAF - CA) - kCA2V
- B. d(VCA)/dt = F (CAF - CA) - kCA2V
- C. d(VCA)/dt = -FCA - kCA2V
- D. d(VCA)/dt = FCAF - kCA2V
Explanation
With no outlet stream, A enters at F C_AF and is consumed at kC_A²V. Thus accumulation equals feed minus reaction consumption: d(VC_A)/dt = F C_AF - kC_A²V.
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