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The elementary reversible exothermic gas-phase reaction

                                                        A + 3B $\rightleftharpoons$ 2C

is to be conducted in a non-isothermal, non-adiabatic plug flow reactor. The maximum allowable reactor temperature is T${_m}{_a}{_x}$. To minimize the total reactor volume, the variation of reactor temperature(T) with axial distance from the inlet(z) should be                         

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