Propane in a Container finding pressure and energy

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SUMMARY

The discussion focuses on calculating the pressure and energy of propane (C3H8) in an aluminum bottle with a volume of 20 liters and a maximum pressure rating of 35 bar. The initial pressure, quality, and internal energy can be determined using the equation PV = MRC3H8T. As the temperature increases, the bottle's pressure will reach its maximum, and the quality at this state must be calculated. Finally, when the relief valve opens and the pressure drops to 14 bar, the remaining propane mass will be one-tenth of the original, necessitating a calculation of the temperature at this new pressure.

PREREQUISITES
  • Understanding of the Ideal Gas Law and its application to propane (C3H8).
  • Knowledge of thermodynamic properties and calculations related to pressure and temperature.
  • Familiarity with the concept of quality in thermodynamics.
  • Basic skills in algebra for solving equations related to gas properties.
NEXT STEPS
  • Study the Ideal Gas Law and its application to real gases like propane.
  • Learn about thermodynamic properties of propane, including specific heat and enthalpy.
  • Research the concept of quality in thermodynamics and how it applies to phase changes.
  • Explore pressure-volume-temperature (PVT) relationships for gases in closed systems.
USEFUL FOR

Students in thermodynamics, chemical engineers, and anyone involved in the study of gas properties and pressure systems, particularly those working with propane or similar gases.

acusanelli
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Homework Statement



An aluminum bottle weighs 10 kg when empty and has an internal volume of 20 liters. It is filled with 5 kg of propane (C3H8) at 24 °C. The aluminum bottle is rated for a maximum pressure of 35 bar at which point a relief valve is opened.

a) What are the initial pressure, quality, and internal energy?
b) What temperature will the bottle reach at maximum pressure as it is heated? What
is the quality at this maximum pressure state?
c) The relief valve remains opened until the pressure falls back to 14 bar. If the mass
of propane remaining in the bottle is tenth of its original value, what is the temperature of the propane upon shutting of the relief valve?

The Attempt at a Solution


All I want are the equations I need and how to set the problems up
 
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For the first part you can use PV=MRC3H8T to get P.

Neglecting the weight of the Al, if it weighs 10 kg when empty (no C3H8), and then is filled with 5kg of C3H8, how much air is in it? You should now be able to find the quality.
 

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