Calculating Hydrogen Mass from Ideal Gas Law

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SUMMARY

The discussion centers on calculating the mass of hydrogen gas in a 25-L container at a gauge pressure of 0.25 atm and a temperature of 0°C using the Ideal Gas Law. The relevant equation, pV=nRT, is applied to determine the number of moles of hydrogen gas, leading to the conclusion that the mass of hydrogen is 2.8 g, corresponding to option D. The atomic mass of hydrogen is specified as 1.0 g/mol, and the ideal gas constant is provided as R = 0.0821 L ∙ atm/mol ∙ K.

PREREQUISITES
  • Understanding of the Ideal Gas Law (pV=nRT)
  • Knowledge of atomic mass and molar calculations
  • Familiarity with unit conversions (atm to kPa)
  • Basic algebra for solving equations
NEXT STEPS
  • Learn about the Ideal Gas Law applications in real-world scenarios
  • Study the concept of gauge pressure versus absolute pressure
  • Explore the relationship between temperature, pressure, and volume in gases
  • Investigate the significance of the ideal gas constant in various units
USEFUL FOR

Students in introductory physics courses, educators teaching gas laws, and anyone interested in practical applications of the Ideal Gas Law in chemistry and physics.

ChloeYip
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Homework Statement



(introduction course of university physics)

A 25- L container holds ideal hydrogen (H2) gas at a gauge pressure of 0.25 atm and a

temperature of 0°C. What mass of hydrogen gas is in this container? The ATOMIC mass of

hydrogen is 1.0 g/mol, the ideal gas constant is R = 8.314 J/mol•K = 0.0821 L ∙ atm/mol ∙ K, and

1.00 atm = 101 kPa.

A) 1.4 g B) 6.3 g C) 4.2 g D) 2.8 g E) 5.6 g

Answer:D

Homework Equations


pV=nRT
volumetric mass of H2

The Attempt at a Solution



I have no more idea other than the mentioned relevant equation

Thank you
 
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Can you determine how many moles of hydrogen is in the container?
 
ChloeYip said:
I have no more idea other than the mentioned relevant equation
What result do you get with that equation?
 
Chestermiller said:
Can you determine how many moles of hydrogen is in the container?
oh yes... I figured it out!
Thanks
 
Last edited:

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