By Arther Adamson (Auth.)
A Textbook of actual Chemistry
summary: A Textbook of actual Chemistry
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Substitution into Eq. 824 χ ΙΟ" . 4542 (or the s a m e , as it must b e since the exponential is dimensionless and therefore c a n n o t = ( 0 . 0 3 1 9 9 9 ) / ( 2 ) ( 8 . 3 1 4 3 3 ) ( 2 9 8 . 1 5 ) = 6 . 4 5 4 2 χ 1 0 " · , mc /2kT depend 2 o n the c h o i c e o f system o f units). 824 χ 10" . 6 N o t e that p(c) is a hundredfold larger in the SI calculation. T h i s is b e c a u s e the velocity interval dc is 1 0 0 times larger w h e n c is in m s e c " FIG. 2-5. 1 t h a n w h e n it is in c m s e c " *.
2-8)-(2-10) acts to define a most probable distribution and one which is assumed, in the case of a large number of molecules, to be the distribution. The preceding conditions and assumptions are in fact sufficient to give the immediate precursor to the Boltzmann distribution law, namely the conclusion that p( ) = (constant) e~ \ (2-11) & € where p(e) is the probability that the molecule has energy e . The constant β will be identified with I/kT in Section 2-6, when a consequence of Eq. (2-11) is com pared with the ideal gas law.
HIRSCHFELDER, J. O . , C U R T I S S , C . F . , A N D B I R D , R. B . ( 1 9 6 4 ) . " M o l e c u l a r T h e o r y o f G a s e s a n d Liquids," corrected ed. Wiley, N e w York. A n excellent advanced treatise o n the statistical mechanical approach t o the properties o f gases. M O E L W Y N - H U G H E S , E . A . ( 1 9 6 1 ) . "Physical Chemistry," 2 n d e d . Pergamon, Oxford. A useful intermediate-level general text. PARTINGTON, J. R. ( 1 9 4 9 ) . " A n Advanced Treatise o n Physical Chemistry," Vol.