Gas A enters a radial flow reactor at a perforated inner wall, r=0.1m and the inlet concentration is CA=1M and the inlet radial velocity is 2m/s. The diffusion coefficient of A is DA=106m2/s. It flows radially towards the outer perforated wall, r=0.9m. Gas A reacts according to a second order reaction kCA2 and k=0.2M1s1. 1. Write down the steady state balance for A, accounting for diffusion, convection and reaction. Also write down the relevant continuity equation, and solve the continuity equation for vr. 2. Calculate the characteristic times for each one of the transport processes and drop the slowest one. Then solve the balancing equation. (For the characteristic time of reaction, use 1 (inlet concentration x k).) Use the radial gap between the inner and outer walls as a length measure when calculating the characteristic times. What is the outlet concentration?| 3. Use the solution to estimate an outer radius of the reactor to achieve 80% conversion