How Do You Calculate the Mass of Oxygen in a Cylinder Using the Ideal Gas Law?

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SUMMARY

The calculation of the mass of oxygen in a cylinder using the Ideal Gas Law involves the equation PV=nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature in Kelvin. In this discussion, the pressure of 148 atm and volume of 2.80 liters were used, leading to an initial calculation of 5.5 grams of oxygen, which was incorrect due to unit conversion errors. The correct approach requires converting pressure to Pascals and volume to cubic meters, resulting in a mass calculation of 558 grams.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV=nRT)
  • Knowledge of unit conversions (atm to Pa, liters to m³)
  • Familiarity with molecular mass calculations
  • Basic thermodynamics principles
NEXT STEPS
  • Study unit conversions for pressure and volume in gas calculations
  • Learn about the Ideal Gas Constant (R) and its applications
  • Explore advanced thermodynamics concepts related to gas behavior
  • Practice problems involving the Ideal Gas Law with varying conditions
USEFUL FOR

Students in chemistry or physics courses, educators teaching gas laws, and anyone needing to apply the Ideal Gas Law in practical scenarios.

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Homework Statement



A fixed mass of oxygen (O2, molecular mass = 32 g/mol) is contained in a cylinder whose volume is 2.80 liters. The pressure is 148 atm when the temperature is 23oC. Find the mass of oxygen in the cylinder.

a. 20 g
b. 80 g
c. 140 g
d. 280 g
e. 546 g

Homework Equations



PV=nRT
m=n*molar mass

The Attempt at a Solution



148atm*2.80L=n*8.314*296.15
n=0.17 moles

m=n*molar mass
m=0.17*32
m=5.5g

and that is not a possible answer :s
 
Physics news on Phys.org
Units again!
 
hehe thanks :s
is the pressure supposed to be in Pa then??
 
Has to be!
 
It's good to remeber that nearly everythig in thermodynamics has to be in energies which are in joules which are N*m
 
thank you! :)
 
is the only wrong unit the pressure one??
because now i am getting 558g
 
you should have volume in m^3
 

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