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PS3_08-Solution

# PS3_08-Solution - Chem 444B Homework Set#3 Solutions DUE...

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• MasterTitaniumLeopard13
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Problem Set #3 -1- Chem 444B Homework Set #3 - Solutions DUE: Friday, February 8, 2008 1) a) Calculate ε rot (in cm -1 ) for the J = 2 level of O 2 given r = 0.12074 nm ( ) ( )( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 2 1 2 1 2 2 9 2 9 23 46 2 2 34 46 1 , , 2 16.0 / 16.0 / 0.12074 10 16.0 / 16.0 / 8.0 1 1 0.12074 10 1000 6.022 10 1.937 10 1.054 10 2 2 1 2 1.937 10 rot rot J J m m I r I m m g mol g mol I m g mol g mol g kg mol I m mol g I kg m J s ε µ µ ε + = = = + = × + = × × × × = × × + = × = ( ) 22 2 1.72 10 J kg m = × 22 1 5.034 10 1 cm J × × 1 8.66 rot cm ε = b)Calculate ε vib for the v = 0 level of O 2 given i υ =1580cm -1 ( )( )( ) 34 10 1 20 1 1 v v 2 2 1 6.626 10 3 10 / 1580 0 2 1.57 10 vib vib vib hv hcv J s cm s cm J ε ε ε = + = + = × × + = × ± 22 1 5.034 10 1 cm J × × 1 790 vib cm ε =

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