Computing Mass of gas molecule from specific heat

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SUMMARY

The mass of a gas molecule can be calculated using its specific heat at constant volume, denoted as c_v. For argon, c_v is given as 0.075 cal/g·K. To find the mass of an argon atom and its molar mass, one must convert the heat capacity from per gram to per mole, utilizing the relationship between specific heat and molar mass. This approach is grounded in the principles of the Kinetic Theory of gases.

PREREQUISITES
  • Understanding of specific heat capacity, particularly c_v
  • Familiarity with the Kinetic Theory of gases
  • Basic knowledge of mole concept and molar mass calculations
  • Proficiency in unit conversion between grams and moles
NEXT STEPS
  • Study the relationship between specific heat and molar mass in ideal gases
  • Learn how to apply the Kinetic Theory of gases to real-world scenarios
  • Explore detailed calculations for mass and molar mass using specific heat values
  • Investigate other gas properties and their interrelations, such as pressure and temperature
USEFUL FOR

Students studying thermodynamics, physicists, and chemists interested in gas properties and molecular calculations.

Saladsamurai
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The mass of a gas molecule can be computed from its specific heat at constant volume [tex]c_v[/tex] (note this is NOT [tex]C_v[/tex])

Take [tex]c_v=0.075\frac{cal}{g*C}[/tex] for argon and calculate (a) the mass of an argon atom and (b) the molar mass of argon.

I just finshed the chapter on Kinetic Theory of gases, but for some reason I am completely jammed on this one.

Can I get a hint to get me going?

Casey
 
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You are given a heat capacity per gram. The usual ideal gas statement of heat capacity is per mole. Compare the two to get grams per mole.
 

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