Thermodynamics Problem gas expansion

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SUMMARY

The discussion focuses on a thermodynamics problem involving the expansion of propane gas from a tank under specific conditions. The initial state includes 5 L of liquid propane at 20 degrees Celsius, and the task is to determine the temperature of the propane when the pressure drops to 1 bar and the total heat transfer required to vaporize the propane at equilibrium. Key parameters include the specific heat capacities of liquid propane (2.4 kJ/kg·K) and vapor propane (1.7 kJ/kg·K), along with the use of the saturated properties table for propane.

PREREQUISITES
  • Understanding of thermodynamics principles, particularly gas laws.
  • Familiarity with specific heat capacity and latent heat concepts.
  • Knowledge of equilibrium conditions in thermodynamic systems.
  • Access to saturated properties tables for propane.
NEXT STEPS
  • Calculate the mass of propane using the density from the saturated properties table.
  • Learn how to apply the ideal gas law to determine gas behavior under changing pressure and temperature.
  • Study the concept of heat transfer in phase changes, specifically vaporization.
  • Explore real-world applications of propane thermodynamics in HVAC systems.
USEFUL FOR

Students in thermodynamics courses, engineers working with gas systems, and professionals involved in HVAC design and analysis will benefit from this discussion.

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We have been given this problem through university and I am stumped!

Consider a propane tank that initially contains 5 L of liquid propane at the environment temperature of 20 degrees C.

If a hole develops in the connecting tube of the propane tank and the propane starts to leak out, determine the temperature of the propane when the pressure in the tank drops to 1bar under equilibrium conditions.

Also determine the total amount of heat transfer from the environment to the tank to vaporize the entire propane in the tank under equlibrium conditions to 20 degrees C.

(Specific heat capacity of liquid propane 2.4 kJ/kg.K vapour propane 1.7 kJ/kg.K).

I also have access to the saturated properties table of propane.

Any help would be much appreciated! :) Thanks
 
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If only we could calculate the mass of the gas in the tank. mL is the answer. Where L is the latent heat of vaporization.

If anyone finds a mistake in this please put forward.
 

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