Can internal pressure be equated to gas flow rate?

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SUMMARY

The discussion centers on the relationship between internal pressure and gas flow rate from a hole in a box under stable conditions. The user inquires whether the internal pressure can be equated to the flow rate, given a constant gas production rate and specific external conditions at Standard Temperature and Pressure (STP). The conversation suggests applying principles such as Bernoulli's equation and concepts related to orifice flow, specifically referencing the orifice coefficient for accurate calculations.

PREREQUISITES
  • Understanding of Bernoulli's principle
  • Familiarity with orifice flow dynamics
  • Knowledge of gas laws under STP conditions
  • Concept of orifice coefficient in fluid mechanics
NEXT STEPS
  • Study the application of Bernoulli's equation in fluid flow scenarios
  • Research the calculation of flow rates using the orifice coefficient
  • Examine the effects of pressure stabilization on gas flow rates
  • Explore the principles of venturi meters and their applications
USEFUL FOR

Engineers, physicists, and anyone involved in fluid dynamics or gas flow analysis will benefit from this discussion, particularly those interested in the practical applications of pressure and flow rate relationships.

inuyasha10121
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Hello, first post here. I had a bit of an odd question that I can't get my head around, but I think is possible. Given the environment described in the picture, can you measure the amount of gas that is flowing from the hole in the box given that the pressure in the box has stabilized at a specific value? I don't even know if its possible for the pressure to stabilize, but assuming that the solution is producing a steady amount of gas and that the reaction is never ending, can the internal pressure be equated to the flow rate given a set hole surface area, box size, and conditions externally being at STP?

My thoughts: It seems to me that this is a sort of modified venturi meter, or that Bernoulli's principle should be applied, but I just wanted to get a few opinions on the matter.
 
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This OP is looking for the relationship between flow rate and pressure drop for an orifice. Google orifice coefficient.
 

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