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Nonisothermal reactor
For a first-order exothermic liquid-phase reaction A→P in a perfectly mixed batch reactor, energy balance dictates that the rate of temperature change is governed by ρcp dT/dt = (ΔHrxn) rA - qa where ρ and cp are respectively the density and the heat capacity of the reaction mixture, ΔHnxm the heat of reaction, a the area of cooling coils, the flux of heat removal q = h (T-To) with h the heat transfer coefficient and To the cooling water temperature, and rA ≡ -dCA/dt = k1CA = A1exp(-E1/RT) CA with A1 the pre-exponential factor, E1, the activation energy. R the gas constant. Plug in expression for q and rA and reduce the governing equation into dimensionless form. Find dimensionless groups affecting the temperature stability of the reactor: assign each its proper physical meaning.
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