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Exploring Venus. The surface pressure on Venus is 92 atm,

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 22E Chapter 12

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 22E

Exploring Venus. The surface pressure on Venus is 92 atm, and the acceleration due to gravity there is 0.894 g. In a future exploratory mission, an upright cylindrical tank of benzene is sealed at the top but still pressurized at 92 atm just above the benzene. The tank has a diameter of 1.72 m, and the benzene column is 11.50 m tall. Ignore any effects due to the very high temperature on Venus. (a) What total force is exerted on the inside surface of the bottom of the tank? (b) What force does the Venusian atmosphere exert on the outside surface of the bottom of the tank? (c) What total inward force does the atmosphere exert on the vertical walls of the tank?

Step-by-Step Solution:

Solution 22E Step 1 of 3: a) Pressure at the bottom of the tank p = p + gh 0 5 3 3 2 = 92 × 1.013 × 10 pa + 0.9 × 10 kg/m × 0.894 × 9.8 m/s × 11.5 m = 9.32 × 10 pa + 9.07 × 10 pa 6 = 9.41 × 10 pa The force on an area A due to pressure p is F = pA D2 D2 = p 4 (since The area of the bottom of the tank is 4 ) 6 2 = 9.41×10 pa×3.14×(1.72 m) 4 7 = 2.19 × 10 N Step 2 of 3: (b) The air pressure at the outside surface of the bottom of the tank, p = p0 = 92 × 1.013 × 10 pa 6 = 9.32 × 10 pa The force on an area A due to pressure p is F = pA D2 D2 = p 4 (since The area of the bottom of the tank is 4 ) 6 2 9.32×10 pa×3.14×(1.72 m) = 4 7 = 2.17 × 10 N

Step 3 of 3

Chapter 12, Problem 22E is Solved
Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: tank, Venus, Force, surface, Benzene. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. Since the solution to 22E from 12 chapter was answered, more than 245 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 22E from chapter: 12 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “Exploring Venus. The surface pressure on Venus is 92 atm, and the acceleration due to gravity there is 0.894 g. In a future exploratory mission, an upright cylindrical tank of benzene is sealed at the top but still pressurized at 92 atm just above the benzene. The tank has a diameter of 1.72 m, and the benzene column is 11.50 m tall. Ignore any effects due to the very high temperature on Venus. (a) What total force is exerted on the inside surface of the bottom of the tank? (b) What force does the Venusian atmosphere exert on the outside surface of the bottom of the tank? (c) What total inward force does the atmosphere exert on the vertical walls of the tank?” is broken down into a number of easy to follow steps, and 123 words.

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