How Does the Berthelot Equation Relate v/T and R/P as T Approaches Infinity?

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The discussion centers on the Berthelot equation of state, defined as P = RT/(v-b) - a/(Tv^2), where T represents thermodynamic temperature, a and b are constants, and R is the universal gas constant. The main focus is to demonstrate that as T approaches infinity, the limit of v/T equals R/P. The user initially sought assistance with this problem but later confirmed they solved it independently.

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andytran
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Hi,

i'm stuck on this question for my hw, please do give any advice/suggestions .. thanks!


For Berthelot equation of state P = RT/(v-b) - a/(Tv^2)

where T is the thermodynamic temp, a and b are constants, R is the Universal gas constant.

a) Show that Lim_(T->infinity) v/T = R/P
(just to be clear, it's the limit of v/T where T goes to infinity is equal to R/P)

thanks again!
 
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nvm solved it. thanks for viewing anyway...
 
Last edited:

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