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lec 3 - Rate Depends on Collision Frequency(ZAB and...

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A + B Product E a Rate = (# of collisions per second) X (# of collisions having E > E a ) Z AB c and density exp(-E a /RT) 2 2 mv Rate Depends on Collision Frequency (Z AB ) and Boltzmann Factor (e -Ea/RT ) M RT c π 8 = P 2 2 2 2 z y x v v v v c + + = =
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Collision Frequency (Z 1 ) For one molecule: Volume of cylinder: ( ) ( ) t c d 2 π Z 1 = Volume of cylinder X density of molecules time Number density: V N collisions s -1 V N c d Z 2 1 π ~10 9 Collisions by a single molecule in one second. 1 9 1 3 19 4 2 8 1 10 5 ) 10 5 . 2 )( / 10 5 ( ) 10 4 ( × × × × = s Z cm s cm cm Z π area x length at 298 K
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