Internal Pressure Change in Cylinder Question

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SUMMARY

The discussion centers on calculating the internal pressure change in a sealed 24-inch diameter, 160-foot long carbon steel pipe due to the sublimation of two 10-pound blocks of dry ice. The perfect gas law (PV = nRT) is identified as the primary tool for determining pressure increase, while the rate of sublimation must also be considered based on the ambient temperature of approximately 100 degrees Fahrenheit. It is concluded that due to the large volume of the pipe, the resultant increase in internal pressure will be minimal.

PREREQUISITES
  • Understanding of the perfect gas law (PV = nRT)
  • Knowledge of sublimation rates of dry ice
  • Familiarity with basic thermodynamics principles
  • Concept of pressure-volume relationships in gases
NEXT STEPS
  • Research sublimation rates of dry ice at various temperatures
  • Learn about the application of the ideal gas law in real-world scenarios
  • Explore pressure calculations in closed systems
  • Investigate safety measures for handling flammable vapors in sealed environments
USEFUL FOR

Students studying thermodynamics, engineers involved in pipeline design, safety professionals managing flammable materials, and anyone interested in gas behavior in closed systems.

oilman
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Homework Statement



I have a section of carbon steel pipe that was used to transport crude oil. The inside diameter is 24-inches. A blind flange and plumber's plug are being used to seal the pipe off. The length of the sealed section is 160-feet. Two 10 pound blocks of dry ice were placed inside the pipe to remove the flammable vapors. No vent or bleeder valve was used. The inside temperature of the pipe was approximately 100-degrees. How much, if any, would the sublimation of the two 10 pound dry ice blocks increase the internal pressure of the pipe over a two hour period?

I don't have any idea of where to start this problem... :confused:
 
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You can figure how much the pressure would increase if all of the dry ice sublimed by using the perfect gas law,
PV = nRT

If you want to know how much it increases in 2 hours, you'll have to find some formula which describes the rate at which dry ice sublimes, given the ambient temperature.

Given the large volume enclosed by 160 feet of 24" pipe, the increase in internal pressure is going to be small.
 

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