For each problem clearly state all your assumptions and describe the visualization that reduces the problem to a one-dimensional heat transfer problem. Define all variables. Please solve all problems symbolically before inserting numeric values for your final answer(s). You may use any of the equations on the formula sheet distributed in class. TA=298K V=10m3 b=5 W/m-K 1. (30 pts) An exothermic chemical reaction takes place at 353 K in a 10 m spherical, continuous stirred tank reactor, with a heat generation rate of 50 = W/m. The reactor has a 1 cm thick coating of cork insulation with a thermal conductivity of 0.015 W/m K. The reactor is exposed to ambient air at 298 K and atmospheric t=lcm conditions cause surface convection with a heat transfer k;=0.015 W/mk coefficient of 5 W/m K. The mixing blade in the reactor produced an inside wall heat transfer coefficient that depends on the impeller rotation speed. The Nusselt Number correlation (Nu=0.6 RePr2/3) simplifies to a dependence of h on rotation speed Th=353K according to the relationship: h=0.25 o with o in revolutions/second. What impeller speed is required