Find the Oxygen Mass in a Welding Tank

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SUMMARY

The discussion focuses on calculating the mass of oxygen in a welding tank with a volume of 7.40×10-2 m3, initially filled at a gauge pressure of 3.20×105 Pa and a temperature of 38.7°C. The correct approach involves using the ideal gas law, PV=nRT, where the pressure must be converted to absolute pressure. The initial mass of oxygen calculated was 0.29225 kg, which was deemed incorrect due to the misuse of gauge pressure instead of absolute pressure. The final gauge pressure noted was 1.60×105 Pa at a temperature of 22.9°C.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Knowledge of gauge pressure versus absolute pressure
  • Basic skills in unit conversion and temperature scaling
  • Familiarity with molar mass calculations
NEXT STEPS
  • Review the concept of gauge pressure and its implications in gas calculations
  • Learn about the ideal gas law applications in real-world scenarios
  • Explore temperature conversion methods, particularly Celsius to Kelvin
  • Investigate the effects of leaks on gas mass calculations in closed systems
USEFUL FOR

Students in physics or engineering, welders needing to calculate gas volumes, and anyone involved in gas storage and pressure management.

dereklin
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Homework Statement


A welder using a tank of volume 7.40×10−2m3 fills it with oxygen (with a molar mass of 32.0g/mol ) at a gauge pressure of 3.20×105Pa and temperature of 38.7∘C. The tank has a small leak, and in time some of the oxygen leaks out. On a day when the temperature is 22.9∘C, the gauge pressure of the oxygen in the tank is 1.60×105Pa .

Homework Equations


(a)Find the initial mass of oxygen.
(b)Find the mass of oxygen that has leaked out.

The Attempt at a Solution


(a)PV=nRT
n=PV/RT
m=n*32
link to calculations
answer I got: 0.29225 kg
this answer was incorrect
 
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Welcome to PF.
Type in your calculation, please.
You used the gauge pressure instead of the pressure of the gas. Do you know what gauge pressure is?
 
ok I see where I did wrong
Thanks for the help.
 

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