Chemistry: Gas Laws - Pressure in Bottle of Air & Liquid Helium

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SUMMARY

The discussion centers on calculating the pressure inside a sealed 1.00-L metal bottle containing air and injected liquid helium. At 4.2 K, liquid helium has a density of 0.147 g/mL. Participants emphasize the importance of converting the volume of the container from liters to cubic meters and determining the number of moles of helium using its density and volume. The final pressure can be calculated using the ideal gas law after the system warms to room temperature (25 °C).

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV=nRT)
  • Knowledge of gas density and conversion between units (g/mL to moles)
  • Familiarity with temperature conversion (Kelvin to Celsius)
  • Basic principles of thermodynamics related to gas behavior
NEXT STEPS
  • Learn about the Ideal Gas Law and its applications in real-world scenarios
  • Study the properties of helium, including its phase changes and behavior at low temperatures
  • Explore unit conversion techniques, especially for volume and density
  • Investigate the effects of temperature on gas pressure in closed systems
USEFUL FOR

Students and professionals in chemistry, physics, and engineering fields, particularly those interested in thermodynamics and gas laws.

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Liquid helium at 4.2 K has a density of 0.147 g/mL. Suppose that a 1.00-L metal bottle that contains air at 118K and 1.0 atm pressure is sealed off. If we inject 120.0 mL of liquid helium and allow the entire system to warm to room temperature (25 °C), what is the pressure inside the bottle?
 
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you need to show some work for us to help you. What have you tried doing/what equations do you have?
 
To approach this question you need to know the following:
The volume of the container. Convert l into m^3.
The number of moles of He. Consider the density and the volume of the liquid helium.
 

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