The spherical gas tank is fabricated by bolting together two hemispherical thin shells of thickness 30 mm. The gas contained in the tank is under a gauge pressure of 2.5 MPa. If the tank has an inner diameter of 8 m and is sealed with 900 bolts each 20 mm in diameter, determine the internal force carried by each bolt.

The spherical gas tank is fabricated by bolting together two hemispherical thin shells of thickness 30 mm. The gas contained in the tank is under a gauge pressure of 2.5 MPa. If the tank has an inner diameter of 8 m and is sealed with 900 bolts each 20 mm in diameter, determine the internal force carried by each bolt.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 55P: (a) Given that air is 21% oxygen, find the minimum atmospheric pressure that gives a relatively safe...

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Concept explainers

Kinetic Theory of Gas

The Kinetic Theory of gases is a classical model of gases, according to which gases are composed of molecules/particles that are in random motion. While undergoing this random motion, kinetic energy in molecules can assume random velocity across all directions. It also says that the constituent particles/molecules undergo elastic collision, which means that the total kinetic energy remains constant before and after the collision. The average kinetic energy of the particles also determines the pressure of the gas.

P-V Diagram

A P-V diagram is a very important tool of the branch of physics known as thermodynamics, which is used to analyze the working and hence the efficiency of thermodynamic engines. As the name suggests, it is used to measure the changes in pressure (P) and volume (V) corresponding to the thermodynamic system under study. The P-V diagram is used as an indicator diagram to control the given thermodynamic system.

Question

The spherical gas tank is fabricated by bolting together two
hemispherical thin shells of thickness 30 mm. The gas contained in the
tank is under a gauge pressure of 2.5 MPa. If the tank has an inner
diameter of 8 m and is sealed with 900 bolts each 20 mm in diameter,
determine the internal force carried by each bolt.

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