Decrease in temperature and pressure of closed container

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SUMMARY

The discussion centers on calculating the decrease in temperature and pressure of a closed container filled with helium as it is released through a pipe outlet at a constant mass flow rate (mdot). The ideal gas law is a crucial concept for solving this problem, as it relates pressure, volume, and temperature of gases. Participants emphasize the importance of demonstrating prior attempts at solving the problem to receive effective assistance. The absence of heat loss to the surroundings is assumed in the calculations.

PREREQUISITES
  • Understanding of the ideal gas law
  • Knowledge of mass flow rate (mdot)
  • Familiarity with thermodynamic principles
  • Basic algebra for solving equations
NEXT STEPS
  • Review the ideal gas law and its applications
  • Study the principles of mass flow rate in fluid dynamics
  • Explore thermodynamic processes involving closed systems
  • Practice solving problems related to gas behavior under changing conditions
USEFUL FOR

Students studying thermodynamics, engineers working with gas systems, and anyone interested in understanding the behavior of gases in closed containers.

ishan1992
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Homework Statement


Helium is stored in a tank initially at temperature To and pressure Po. It starts coming out through an opening (pipe outlet) at a constant mass flow rate of mdot. Calculate the decrease in temperature and pressure of the tank (assuming no heat loss to the surroundings) as a function of time.

Homework Equations

The Attempt at a Solution

 
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Hello ishan1992. Welcome to the forum.

To get help with your homework you need to show that you have made some attempt to solve the problem yourself. We are not supposed to just do your homework for you. If you can show that you made an attempt, or ask for help on a particular place that you are stuck, then we will be glad to help. But we can't just answer your homework questions for you.

I will give you one hint here. Do you know the ideal gas law?
 

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