Thermodynamics filled in class notes_Part_115

Thermodynamics filled in class notes_Part_115 - 7.1....

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Unformatted text preview: 7.1. ISOTHERMAL, ISOCHORIC KINETICS 237 Now in the Dalton mixture model, all species share the same T and V . So the mixture temperature and volume are the same for each species V i = V , T i = T . But the mixture pressure is taken to be the sum of the partial pressures: P = N summationdisplay i =1 P i . (7.61) Substituting from Eq. (7.60) into Eq. (7.61), we get P = N summationdisplay i =1 i RT = RT N summationdisplay i =1 i . (7.62) For our example, we only have two species, so P = RT ( O + O 2 ) . (7.63) The pressure at the initial state t = 0 is P ( t = 0) = RT ( hatwide O + hatwide O 2 ) , (7.64) = parenleftBig 8 . 31441 10 7 erg mole K parenrightBig (5000 K ) parenleftbigg . 001 mole cm 3 + 0 . 001 mole cm 3 parenrightbigg , (7.65) = 8 . 31441 10 8 dyne cm 2 , (7.66) = 8 . 31441 10 2 bar. (7.67) This pressure is over 800 atmospheres. It is actually a little too high for good experimental correlation with the underlying data, but we will neglect that for this exercise.correlation with the underlying data, but we will neglect that for this exercise....
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Thermodynamics filled in class notes_Part_115 - 7.1....

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