Surface Area/Pressure/Ideal Gas Law

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SUMMARY

The discussion centers on the relationship between surface area and pressure in the context of the Ideal Gas Law, represented by the equation PV = nRT. It is established that pressure is defined as Force divided by Area, leading to the conclusion that pressure is independent of surface area when considering gas-filled containers of the same volume. Participants clarify that while one might intuitively think surface area affects pressure, the Ideal Gas Law demonstrates that pressure remains constant regardless of variations in internal surface area.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV = nRT)
  • Basic knowledge of pressure and force concepts
  • Familiarity with gas behavior in closed systems
  • Concept of surface area in physical contexts
NEXT STEPS
  • Explore the implications of the Ideal Gas Law on real-world gas behavior
  • Investigate how pressure varies with volume changes in gas systems
  • Learn about the kinetic molecular theory of gases
  • Examine experimental setups to measure pressure in varying surface area conditions
USEFUL FOR

Students of physics, chemistry enthusiasts, and professionals in fields involving gas dynamics and thermodynamics will benefit from this discussion.

danielu13
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How does surface area affect pressure, since pressure is defined by \frac{Force}{Area}, and specifically how does this work with the Ideal Gas Law (PV = nRT)? I would think that surface area and pressure have an inverse relationship, as to pressure and volume. But what if you had gas-filled containers with the same volume but different internal surface areas? I would think that the pressure in the one with less surface area would be less, but this is not evidenced by the ideal gas law.
 
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Pressure is independent of surface area.
 

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