Calculate Water to Increase Cylinder Pressure from 50 to 150 PSI

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Homework Help Overview

The discussion revolves around calculating the amount of water needed to increase the pressure in a cylinder from 50 PSI to 150 PSI, with specific reference to a pipeline scenario involving a large volume of water and constant height and volume conditions.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between pressure, height, and density, with one suggesting a direct proportionality based on density changes. Others question the assumptions made regarding water's behavior under pressure, particularly in relation to compressibility.

Discussion Status

The discussion is ongoing, with participants offering different perspectives on the physical properties of water and its compressibility. There is no explicit consensus, but some guidance regarding the need to consider water's non-ideal behavior has been introduced.

Contextual Notes

Participants note the specific conditions of the problem, including the large volume of water and the constant height, which may influence the calculations and assumptions being made.

Lowdot
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If I have a cylinder with water at 50 PSI, is there any way to calculate how much water it would take to raise the pressure to 150 PSI?
 
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Pressure = height x density.
 
Let me add some additional information. This is for a pipeline with roughly 3.6 million pounds of water and 57500 cubic feet of area. The density is just over 1 g/cm3 at 50 PSI. Height will remain constant as will the volume. So by my thinking, I will have to add 3 times the water to increase the density by 3 times and thus the pressure 3 times. But that is contrary to my experiences with raising the PSI of pipelines in this manner.

Any thoughts?
 
You are thinking of an ideal gas. Water is no such thing. You need a figure for the compessiblity of water.
 

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