CHM ENG 142 Study Guide - Midterm Guide: Volumetric Flow Rate, Mass Flow Rate, Rate Equation

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Due: wednesday, march 11, 2020: leaking reactor. An elementary first order gas-phase reaction a b with rate constant k is carried out in an isothermal, isobaric pfr with a continuous leak along the entire length of the reactor. Given m = v and constant density, v| z - v| z+ z = v leak. Divide both sides by z to get (v| z - v| z+ z )/ z = dv/dz = -v leak / z. Plug in expression for v(z) to get v leak / z = v 0 / [2 sqrt(zl): write a mole balance of species a for a differential slice of the reactor. F| z - f| z+ z - f leak + r a v = 0. F| z - f| z+ z - c a v leak = kc a v: allow z 0 and obtain a differential equation for the conversion x a in terms of z.