How Does Filling a Canister with Oxygen Affect Its Weight?

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SUMMARY

The discussion focuses on calculating the number of moles of oxygen that can be stored in a cylindrical canister measuring 1.60m in length and 89.0cm in diameter, filled at an absolute pressure of 21.3 atm and a temperature of 27.0°C. The volume of the canister is calculated to be 3981 liters, and the user attempts to find the moles of oxygen using the ideal gas law, resulting in a calculation of 3445 moles. The response highlights the importance of significant figures in the final answer, which may affect the grading of the solution.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Familiarity with unit conversions (liters to cubic meters)
  • Knowledge of significant figures in scientific calculations
  • Basic geometry for calculating the volume of a cylinder
NEXT STEPS
  • Review the ideal gas law and its applications in real-world scenarios
  • Learn about significant figures and their importance in scientific calculations
  • Explore the properties of gases under varying pressures and temperatures
  • Study the geometry of cylinders and other shapes for volume calculations
USEFUL FOR

Students in chemistry or physics, educators teaching gas laws, and anyone involved in calculations related to gas storage and behavior under pressure.

Luongo
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An empty cylindrical canister 1.60m long and 89.0cm in diameter is to be filled with pure oxygen at 27.0 C to store in a space station. To hold as much gas as possible, the absolute pressure of the oxygen will be 21.3atm . The molar mass of oxygen is 32.0g/mol. How many moles of oxygen does this canister hold? For someone lifting this canister, by how many kilograms does this gas increase the mass to be lifted?

So what i did was got the volume of cylinder using V = pi r^2 h
im (m^3) i multiplied by 1000 to get it in litres. 3981L
then i just plugged in n= 3981L (21.3atm) / .08206 (300K)
what am i doing wrong? shudnt i get the moles in the canister 3445 moles.

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Luongo said:
So what i did was got the volume of cylinder using V = pi r^2 h
im (m^3) i multiplied by 1000 to get it in litres. 3981L
then i just plugged in n= 3981L (21.3atm) / .08206 (300K)
what am i doing wrong? shudnt i get the moles in the canister 3445 moles.
Your answer looks good to me, but if you are graded on significant figures you'll want to consider that.
 

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