How to Find Volume of Air in Filled Cylinder?

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    Air Cylinder Volume
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SUMMARY

The volume of air in a cylinder cannot be determined solely from the pressure of 10 pounds per square inch (psi) without additional information about the cylinder's dimensions. The formula for the volume of a cylinder is V = π(r²)h, where r is the radius and h is the height. Pressure is defined as force per unit area, and density is mass per unit volume. The question lacks sufficient details, making it impossible to provide a definitive answer.

PREREQUISITES
  • Understanding of the formula for the volume of a cylinder (V = π(r²)h)
  • Knowledge of pressure concepts (pressure = force/area)
  • Familiarity with density definitions (density = mass/volume)
  • Basic grasp of standard temperature and pressure (STP) conditions
NEXT STEPS
  • Research the relationship between pressure and volume in gas laws (e.g., Ideal Gas Law)
  • Learn about standard temperature and pressure (STP) and its implications for gas volume
  • Explore how to calculate the volume of various cylinder sizes using the formula V = π(r²)h
  • Investigate the concept of compressibility of gases under different pressures
USEFUL FOR

Students in physics or engineering, professionals dealing with gas storage and pressure systems, and anyone interested in understanding the principles of volume calculation in cylindrical containers.

vivian
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I'm new to the forum, and trying to find the answer to this question:

How do I find the volume of air in a cylinder if the cylinder is filled to 10 pounds per square inch.


This seems like a simple question, but has me stumped.


Thanks a bunch
 
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You can't- it depends solely upon the size of the cylinder, not the pressure.
 
ya, the question needs more information. You are only given pressure. The formula for volume of a cylinder is: V = pi(r^2)h, and pressure is mass/volume. You are not given enough information to solve the questions, since there is can be an infinite amount of comtainers that have a pressure of 10psi.
 
Pressure is force per unit area. Density is mass per unit volume.

Also, the phrase "volume of air" is very misleading. The volume of air in a given tank is naturally just the volume of the tank. They might have intended you to find the volume that the air would occupy at standard temperature and pressure, but they didn't specify that either.

All in all, it's a totally unintelligible question.

- Warren
 

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