Calculating the time for a pressure change

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SUMMARY

The discussion focuses on calculating the time required for the pressure inside a closed concrete box to increase from 0.01 atm to 1 atm due to air permeating through the porous concrete walls. The key variables include the permeability coefficient of the concrete and the dimensions of the box. Understanding the permeability coefficient is crucial, as it quantifies how easily air can flow through the concrete material. The conversation emphasizes the need for a foundational grasp of these concepts to approach the problem effectively.

PREREQUISITES
  • Understanding of permeability coefficient in materials science
  • Basic principles of gas laws and pressure
  • Knowledge of concrete properties and porosity
  • Familiarity with dimensional analysis for physical systems
NEXT STEPS
  • Research the mathematical models for gas diffusion through porous materials
  • Learn about the Darcy's Law for fluid flow in porous media
  • Explore the effects of temperature on gas permeability in concrete
  • Study the relationship between pressure changes and time in closed systems
USEFUL FOR

Engineers, material scientists, and students studying fluid dynamics or material permeability will benefit from this discussion, particularly those interested in pressure change calculations in porous materials.

Sam1010
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I've been searching and it seems I am not smart enough to find the solution for this...

Let say I have a fully closed box made of concrete left in air. The pressure inside the box is 0.01atm. Since it is left in air, the air will come inside the box through concrete walls(since concrete is porous) and the pressure inside the box will go up to 1atm eventually(same as outside pressure).

If I have the permeability coefficient of the concrete and the dimensions for the box, how can i calculate the time required for the inside of the box pressure to go up to 1 atm from (0.01 atm)?
 
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Hello Sam, ##\qquad## :welcome: ##\qquad##!

This looks a lot like an exercise or homework, and at PF that means an effort from your side is required:
What is the meaning of a permeability coefficient in this context ?
 

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