How Large Should the Second Tank Be to Achieve the Desired Pressure Increase?

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SUMMARY

The discussion centers on calculating the required volume of a second tank to increase the pressure of a 1760 cubic inch volume from 16 PSI to 40 PSI using the ideal gas law. The second tank must operate at a maximum pressure of 100 PSI. Key considerations include whether the gas from the second tank will mix with the first volume and if the temperature remains constant during the process. Understanding these parameters is essential for accurate calculations.

PREREQUISITES
  • Understanding of the ideal gas law
  • Knowledge of pressure units, specifically PSI (pounds per square inch)
  • Familiarity with basic thermodynamics concepts
  • Ability to perform volume and pressure calculations
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  • Research the ideal gas law and its applications in pressure-volume calculations
  • Learn about the relationship between pressure and volume in gas systems
  • Explore how temperature affects gas pressure and volume
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This discussion is beneficial for students studying physics or engineering, particularly those focusing on fluid dynamics and thermodynamics, as well as professionals involved in designing pressure systems.

pavadrin
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Homework Statement


The pressure in a volume of 1760 cubic inches needs to be raised from 16PSI to 40PSI. This is done via a second tank which has a maximum pressure of 100PSI. In order for this system to function, the second volume needs to be of a certain size. Calculate the volume required for tank.


Homework Equations


Not sure.


The Attempt at a Solution


I am stuck on how I can use PSI which is a measurement of pressure for an area with volume.
Any suggestions on where I could start would be greatly appreciated, as I am truly stuck.

Many thanks,
pavadrin
 
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You would use the pressure in the ideal gas law. The unit, PSI, is pounds per square inch; one atmosphere pressure is close to 14.7 PSI. (Pressure always has units which involve area, since it is defined as the force per area on a surface.)

The problem is a bit unclear on one point. Is the gas in the second tank going to be released into the first volume, so that it mixes with it to raise the pressure? Is it assumed that the temperature remains constant while this happens?
 

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