Mass of Ideal Gas Question A bottle of 15 cm diameter and 25 cm height. The bottle is filled with air at 10°C, and the pressure at the bottom of the bottle is 1.1 atm. The barometric formula gives pressure and density distribution in the bottle.   Determine the pressures at the lid and the bottom of the bottle, the mass of air in the bottle (hint: needs integration), and then show that the pressure difference between top and bottom is due to the weight of the air in the bottle.

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
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Mass of Ideal Gas Question

A bottle of 15 cm diameter and 25 cm height. The bottle is filled with air at 10°C, and the pressure at the bottom of the bottle is 1.1 atm. The barometric formula gives pressure and density distribution in the bottle.

 

Determine the pressures at the lid and the bottom of the bottle, the mass of air in the bottle (hint: needs integration), and then show that the pressure difference between top and bottom is due to the weight of the air in the bottle. 

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