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Answer: In a certain industrial process involving a

Chapter 13, Problem 72P

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QUESTION:

In a certain industrial process involving a heterogeneous catalyst, the volume of the catalyst (in the shape of a sphere) is 10.0 \(\mathrm{cm}^{3}\). Calculate the surface area of the catalyst. If the sphere is broken down into eight spheres, each having a volume of 1.25 \(\mathrm{cm}^{3}\), 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 4 \(\pi r^{2}\), where r is the radius of the sphere.) Based on your analysis here, explain why it is sometimes dangerous to work in grain elevators.

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QUESTION:

In a certain industrial process involving a heterogeneous catalyst, the volume of the catalyst (in the shape of a sphere) is 10.0 \(\mathrm{cm}^{3}\). Calculate the surface area of the catalyst. If the sphere is broken down into eight spheres, each having a volume of 1.25 \(\mathrm{cm}^{3}\), 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 4 \(\pi r^{2}\), where r is the radius of the sphere.) Based on your analysis here, explain why it is sometimes dangerous to work in grain elevators.

ANSWER:

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They are provided with the datas of an industrial process involving heterogeneous catalysis. We need to find the surface area of the spherical catalyst with volume  and also the surface area when the sphere is broken into  spheres with

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