Chapter 19, Problem 19.76QP

In a certain industrial process involving a heterogeneous catalyst, the volume of the catalyst (in the shape of a sphere) is 10.0 cm³. Calculate the surface area of the catalyst. If the sphere is broken down into eight smaller spheres, each having a volume of 1.25 cm³, what is the total surface area of the spheres? Which of the two geometric configurations of the catalyst is more effective? (The surface area of a sphere is 4πr², where r is the radius of the sphere.) Based on your analysis here, explain why it is sometimes dangerous to work in grain elevators.