In a study of the effects of temperature on teh rate ofreaction Cl + O 3 -> ClO

Question

In a study of the effects of temperature on teh rate ofreaction Cl + O3 -> ClO + O2 the followingequation for the rate constant was found: k= (1.75 x1032M-1s-1) e-260/TWhat is the activation energy for the reaction Cl + O3-> ClO + O2 in units kJ/mol? Thanks! In a study of the effects of temperature on teh rate ofreaction Cl + O3 -> ClO + O2 the followingequation for the rate constant was found: k= (1.75 x1032M-1s-1) e-260/TWhat is the activation energy for the reaction Cl + O3-> ClO + O2 in units kJ/mol? Thanks!

Explanation / Answer

The relation between Temperature ( T ) ,rate constant( K) & Activation Energy ( E a ) is givenby                             K = A e - ( E a / RT)            ---------------------( 1 ) where A ---> Frequency factorconstant            R----> gas constant = 8.314 J / mol / K           T ------> Temp. in Kelvin Comparing the given relation k= (1.75 x1032M-1s-1)e-260/T   with Eqn ( 1 ) , we have Activation energy , E a / R = 260                                       Ea = R   * 260                                             = 8.314 * 260                                             = 2161.64 J / mol                                             = 2.16164 * 10 3 J / mole                                             = 2.16164 K J / mole

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