Ideal gas law problems: Pascals vs Atms?

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SUMMARY

The discussion focuses on the application of the ideal gas law (PV = nRT or NkT) and the appropriate use of pressure units in atmospheres (atm) versus pascals (Pa). Participants emphasize the importance of unit consistency and the correct selection of the gas constant (R) based on the chosen unit system. Daniel specifies that when using SI units, pressure should be in pascals, volume in cubic meters, and R as 8.314 J/K-mol, while in non-SI units, pressure should be in atm, volume in liters, and R as 0.0821 L-atm/K-mol. Both methods of conversion and calculation are deemed valid as long as unit consistency is maintained.

PREREQUISITES
  • Understanding of the ideal gas law (PV = nRT or NkT)
  • Familiarity with unit conversions between different measurement systems
  • Knowledge of the gas constant (R) values in different units
  • Basic arithmetic skills for solving gas law problems
NEXT STEPS
  • Research the ideal gas law and its applications in real-world scenarios
  • Learn about unit conversions between different pressure units, including Torr, atm, and Pa
  • Study the significance of the gas constant (R) in various unit systems
  • Explore advanced problems involving the ideal gas law to enhance problem-solving skills
USEFUL FOR

Students, educators, and professionals in chemistry and physics who are working with gas laws and require a solid understanding of unit conversions and calculations related to the ideal gas law.

ddoctor
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Hi group,

Simple arithmetic problems using PV = nRT or NkT. How do you know when to use pressure units in atmospheres or pascals? For example, in 1 particular problem they give you a pressure in units of Torr, volume in cubic cm and temp in Kelvin and ask for the number of molecules. Couldn't you convert Torr to atm, cm to L OR Torr to Pascals and cm to m. In the first case you get n number of moles and multiply by avagadro's number to get molecules. In the second case you use NkT to get the number of molecules directly, probably easier, but aren't both approaches correct?
Thanks
Dave
 
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As long as all of your units are in the same system and you use the appropriate constants (in the same units) you will be fine. Just keep track of your units to ensure that your answers make sense.
 
My advice is:use SI-mKgs.The most correct and reliable.Sometimes involves big numbers,but,hey,where would the fun be in such problems??

Daniel.
 
When using SI units : P is in Pa (or N/m^2), V is in m^3, T is in Kelvin and R = 8.314 J/K-mol

When using the other units : P is in atm, V is in Liters, T is in Kelvin and R = 0.0821 L-atm/K-mol

You can you any system you like. Remember to use the right value of R in that system.

If you are given values in units other than the two above (eg : torr, psi, ml, cc, centigrade, fahrenheit), you can simply convert to either one system of units.
 

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