-rA=kCA^2

Consider the liquid phase cis - trans isomerization of 2-butene H H H CH3 C= CH; CH, CH, H cis-2-butene trans-2-butene which we will write symbolically as A B 2 The reaction is first order in A (-ra = k) and is carried out in a tubular reactor in which the volumetric flow rate, v, is constant, i.e., v = vo. CAO CA = 0.1CAO vo AB V = 0 V U 1. Sketch the concentration profile. 2. Derive an equation relating the reactor volume to the entering and exiting concentrations of A, the rate constant k, and the volumetric flow rate vo. 3. Determine the reactor volume, V, necessary to reduce the exiting concentra- tion to 10% of the entering concentration, i.e., CA = 0.1CA0, when the volu- metric flow rate is 10 dm3/min (i.e., liters/min) and the specific reaction rate, k, is 0.23 min