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

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The discussion revolves around the application of the Berthelot equation of state, specifically analyzing the limit of v/T as temperature (T) approaches infinity. The equation is given as P = RT/(v-b) - a/(Tv^2), where T is the thermodynamic temperature, a and b are constants, and R is the universal gas constant. The main task is to demonstrate that the limit of v/T equals R/P as T approaches infinity. The original poster initially sought help but later indicated they solved the problem themselves. The conversation highlights the importance of understanding thermodynamic equations in relation to gas behavior at extreme temperatures.
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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...
 
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