# Thermal Equilibrium: Calculating Pressure of Helium Gas in 3.11L Container

• Indy2424
In summary, the liquid helium in a sealed, evacuated 3.11 liter container at a temperature of 24.8°C with a density of 122.1 kg/m3 will vaporize and turn into gas, resulting in a pressure of the helium gas inside the container that can be calculated using the ideal gas law equation PV = nRT.
Indy2424

## Homework Statement

A sealed, evacuated 3.11 liter container initially contains 0.87 liter of liquid helium. As the contents of the container come into thermal equilibrium with the surroundings, the liquid helium vaporizes and turns into gas. If the temperature of the laboratory is 24.8°C, what is the pressure of the helium gas inside the container? (Note: The density of liquid helium is 122.1 kg/m3.)

## Homework Equations

Truthfully I don't have any idea on how to set this up. Any help at all would be thankful.
Thanks

## The Attempt at a Solution

Figure first the mass of the helium in the container.

The total mass divided by the atomic mass will tell you how many moles of helium atoms you have inside.

At that point it's

PV = nRT isn't it?
http://en.wikipedia.org/wiki/Ideal_gas_law

You know T, you know V and you know n moles so ...

Yep that was it all along i was just missing a step and using the wrong constant. Thanks

## 1. What is thermal equilibrium?

Thermal equilibrium is a state in which two objects or systems are at the same temperature and there is no net flow of heat between them.

## 2. How is thermal equilibrium achieved?

Thermal equilibrium is achieved when two objects or systems are in contact with each other and there is no temperature difference between them. This can occur through heat transfer, such as conduction, convection, or radiation.

## 3. What is the ideal gas law?

The ideal gas law is a mathematical equation that describes the relationship between the pressure, volume, temperature, and number of moles of an ideal gas. It is written as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.

## 4. How do you calculate the pressure of a gas in a container?

The pressure of a gas in a container can be calculated using the ideal gas law. You will need to know the volume of the container, the number of moles of gas, and the temperature. Plug these values into the ideal gas law equation and solve for pressure.

## 5. Can you calculate the pressure of helium gas in a 3.11L container?

Yes, the pressure of helium gas in a 3.11L container can be calculated using the ideal gas law. You will need to know the number of moles of helium gas and the temperature of the gas. Plug these values into the ideal gas law equation and solve for pressure.

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