Universal and Individual Gas Constant

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SUMMARY

The discussion centers on the distinction between the Universal Gas Constant (Ru) and the Individual Gas Constant (R) in the context of the ideal gas law, Pv=RT. The values of R for different systems are clarified: R = 1545/Mol Wt. for the English Engineering (EE) system and R = 8314/Mol Wt. for the SI system. The confusion arises from the commonly referenced Molar Gas Constant of 8.314 J·K-1·mol-1, leading to questions about the derivation of the 8314 value. The discussion emphasizes the importance of understanding the context in which R is used.

PREREQUISITES
  • Understanding of the Ideal Gas Law (Pv=RT)
  • Familiarity with the concepts of Universal Gas Constant and Individual Gas Constant
  • Knowledge of Molar Volume and Specific Volume definitions
  • Basic thermodynamics principles and units of measurement
NEXT STEPS
  • Research the derivation of the Universal Gas Constant (Ru) and its applications
  • Learn about the differences between Molar Volume and Specific Volume in thermodynamics
  • Explore the implications of using different gas constants in engineering calculations
  • Study the conversion between different unit systems (SI and EE) in thermodynamic equations
USEFUL FOR

Students and professionals in thermodynamics, mechanical engineers, and anyone studying gas laws and their applications in various engineering fields.

Altairs
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I got injured while playing football and had to miss a Thermodynamics-I lecture. Got the notes afterwards but they tend to make things more complicated. The notes starts with :-

[tex]Pv=RT[/tex]

Which R is this the Universal Gas Constant or the Individual Gas Constant ?

Is the Molar Volume and Specific Volume same thing?

Then it says [tex]R = \frac{R_{u}}{Mol Wt.}[/tex], which seems alright.

Then it says that :-

For EE :-

[tex]R = \frac {1545}{Mol Wt.}[/tex]

For SI :-

[tex]R = \frac {8314}{Mol Wt.}[/tex]

Question is that I have always seen the Molar Gas Constant to be [tex]8.134 JK^{-1}mol^{-1}[/tex]. How does 8314 come ?

I'll be obliged if someone can give systematic answers. this way my confusion will be eliminated.
(looks like there's some problem with LaTex)
 
Last edited:
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Altairs said:
I got injured while playing football and had to miss a Thermodynamics-I lecture. Got the notes afterwards but they tend to make things more complicated. The notes starts with :-

[tex]Pv=RT[/tex]

Which R is this the Universal Gas Constant or the Individual Gas Constant ?
It could be either, depending on whether v is the volume per mole or the volume per unit mass.
Is the Molar Volume and Specific Volume same thing?
Molar Volume is volume per mole and Specific Volume is volume per unit mass
Then it says [tex]R = \frac{R_{u}}{Mol Wt.}[/tex], which seems alright.

Then it says that :-

For EE :-

[tex]R = \frac {1545}{Mol Wt.}[/tex]

For SI :-

[tex]R = \frac {8314}{Mol Wt.}[/tex]

Question is that I have always seen the Molar Gas Constant to be [tex]8.134 JK^{-1}mol^{-1}[/tex]. How does 8314 come ?

I'll be obliged if someone can give systematic answers. this way my confusion will be eliminated.
(looks like there's some problem with LaTex)
It's not clear. It could be a typo.
 

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