Decrease in temperature and pressure of closed container

In summary, the problem involves calculating the decrease in temperature and pressure of a tank of helium as it is released through an opening at a constant mass flow rate. The ideal gas law may be used to solve this problem.
  • #1
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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  • #2
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?
 

Related to Decrease in temperature and pressure of closed container

What causes a decrease in temperature and pressure in a closed container?

A decrease in temperature and pressure in a closed container can be caused by a decrease in the amount of gas molecules present or a decrease in the volume of the container. This can also occur due to changes in the surrounding environment, such as a decrease in external temperature or pressure.

What is the relationship between temperature and pressure in a closed container?

The relationship between temperature and pressure in a closed container is known as the ideal gas law, which states that as temperature increases, so does pressure, and vice versa. This is because an increase in temperature causes gas molecules to move faster and collide with the container walls more frequently, resulting in an increase in pressure.

How does a decrease in temperature and pressure affect the behavior of gases in a closed container?

A decrease in temperature and pressure can cause gases to condense into liquid or solid form, depending on the specific gas and its properties. This is because the decrease in temperature and pressure reduces the energy and space available for gas molecules to move and remain in a gaseous state. This can also lead to a decrease in the volume of the gas within the container.

What are some real-life examples of a decrease in temperature and pressure in a closed container?

One common example is the condensation of water vapor into liquid water when the temperature and pressure decrease in the atmosphere. This can also be seen in the formation of dew on grass or fog in cooler temperatures. Another example is the formation of dry ice (solid carbon dioxide) when the temperature and pressure decrease in a container of gaseous carbon dioxide.

How does a decrease in temperature and pressure affect the safety of a closed container?

A decrease in temperature and pressure can potentially cause a closed container to implode or collapse, depending on the strength and structure of the container. This can be a safety hazard, especially if the container holds hazardous or flammable materials. It is important to consider the effects of temperature and pressure changes when storing or transporting materials in closed containers.

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