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Problem 2 A toy manufacturer wishes to extend the time that a spherical rubber ball will stay inflated with air. The original rubber ball has an outside diameter of 5 cm and a wall thickness of 0.05 cm. The permeability of air through the original rubber material is 2 x 10-⁹ mol-cm/cm²-s.atm. Engineer Swinney suggests changing the ball material to something that is of the same thickness but has an air permeability that is half that of the old material. Alternatively, engineer Venables suggests making the original rubber material twice as thick, keeping the outside diameter the same as the original ball. Which option will cause the resistance to air mass transfer through the ball material to increase the most (note the difference is small, treat as a spherical system)?

Problem 2 A toy manufacturer wishes to extend the time that a spherical rubber ball will stay inflated with air. The original rubber ball has an outside diameter of 5 cm and a wall thickness of 0.05 cm. The permeability of air through the original rubber material is 2 x 10-⁹ mol-cm/cm²-s.atm. Engineer Swinney suggests changing the ball material to something that is of the same thickness but has an air permeability that is half that of the old material. Alternatively, engineer Venables suggests making the original rubber material twice as thick, keeping the outside diameter the same as the original ball. Which option will cause the resistance to air mass transfer through the ball material to increase the most (note the difference is small, treat as a spherical system)?

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Problem 2 A toy manufacturer wishes to extend the time that a spherical rubber ball will stay inflated with air. The original rubber ball has an outside diameter of 5 cm and a wall thickness of 0.05 cm. The permeability of air through the original rubber material is 2 x 10-⁹ mol-cm/cm² s.atm. Engineer Swinney suggests changing the ball material to something that is of the same thickness but has an air permeability that is half that of the old material. Alternatively, engineer Venables suggests making the original rubber material twice as thick, keeping the outside diameter the same as the original ball. Which option will cause the resistance to air mass transfer through the ball material to increase the most (note the difference is small, treat as a spherical system)?
Transcribed Image Text:Problem 2 A toy manufacturer wishes to extend the time that a spherical rubber ball will stay inflated with air. The original rubber ball has an outside diameter of 5 cm and a wall thickness of 0.05 cm. The permeability of air through the original rubber material is 2 x 10-⁹ mol-cm/cm² s.atm. Engineer Swinney suggests changing the ball material to something that is of the same thickness but has an air permeability that is half that of the old material. Alternatively, engineer Venables suggests making the original rubber material twice as thick, keeping the outside diameter the same as the original ball. Which option will cause the resistance to air mass transfer through the ball material to increase the most (note the difference is small, treat as a spherical system)?
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