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Calculate Rate Constant

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Scholar
Karma Points: 200
(Weber State University)
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Date Posted: 6/29/2008 12:34:41 AM  Status: Closed
Calculate Rate Constant
Course Textbook Chapter Problem
General Chemistry N/A N/A N/A
Question Details:
For the gas-phase decomposition of hydrogen iodide:
 
2HI  H2 + I2
 
the rate constant, at 283 degrees C is 3.52 x 10-7 /M-sec. The activation energy for the reaction is 187 kJ/mole. Calculate the rate constant at 293 degrees C.
 
Answer: 7.18 x 10-7 /M-sec.
 
I have probably tried this problem six or seven times, so please show step by step instructions so I can find my error. Thank you so much!
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Sage
Karma Points: 3,963
Date Posted: 6/29/2008 9:26:46 PM  Status: Live
Asker's Rating: Lifesaver   
Response:
by arrhenius equation the rate constant is related to the temperatures as
 ln (k2/k1) = (E/R) [(1/T1)-(1/T2)]
where , E= activation energy= 187KJ/mol= 187x103J/mol
 R= gas constant= 8.314J/mol.K
T1= 2830C= 283+273=556K, k1= 3.52x10-7M-1s-1
T2= 2930C= 293+273=566K, k2 =?
ln (k2/k1) = ( (187x103J/mol)/( 8.314J/mol.K) )[(1/556K)-(1/566K)]
ln (k2/k1) =0.715
k2= 2.044* 3.52x10-7M-1s-1= 7.19x10-7M-1s-1
DragonCommand15's Comment:
Thanks so much!



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