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The reaction takes place in three steps ...

The reaction takes place in three steps with activation energy `E_(A_(1))=x (kJ)/(mol), E_(A_(2))=y(kJ)/(mol) and E_(A_(3))=z(kJ)/(mol) `respectively. Overall rate constant of the reaction is k=`((k_(1)k_(2))/(k_(3)))^(1//5)` .The activation energy of the reaction will be

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Step by step text solution for The reaction takes place in three steps with activation energy E_(A_(1))=x (kJ)/(mol), E_(A_(2))=y(kJ)/(mol) and E_(A_(3))=z(kJ)/(mol) respectively. Overall rate constant of the reaction is k=((k_(1)k_(2))/(k_(3)))^(1//5) .The activation energy of the reaction will be by CHEMISTRY experts to help you in doubts & scoring excellent marks in Class 12 exams.

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The decomposition of ethane follows the rate law (-d[CH_(3)CH_(3)])/(dt)=K[C_(2)H_(6)] with overall K= ((K_(1)K_(2)K_(3)K_(4))/(K_(5))) , where K_(1),K_(2),K_(3),K_(4),K_(5) are the rate constants of various elementary steps.The values of E_(a) of elementary reactions were found to be E_(a_(1))=350(kJ)/(mol ) E_(a_(2))=2 (kJ)/(mol) E_(a_(3))=160(kJ)/(mol) E_(a_(4))=30(kJ)/(mol) , E_(a_(5))=10(kJ)/(mol) The activation energy of the overall reaction is xkJ/mol. The value of (x)/(5) is

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Knowledge Check

  • A reacation takes place in three steps with actiation energy E_(a_(1)) =180 KJ/mol , E_(a_(2)) =80 KJ/mol , E_(a_(3)) =50 KJ/mol respectively overall rate constant of the reaction is k=[(k_(1)k_(2))/(k_(3))]^(2//3) the overall activation energy of reaction will be (Here k_(1),k_(2) a"and k_(3) are rate constant of first, second and third step respectively.):

    A
    140 KJ/mol
    B
    150 KJ/mol
    C
    43.44 KJ/mol
    D
    100 KJ/mol
  • A reaction takes place in three steps with individual rate constant and activation energy, {:(,"Rate constant","Activation energy"),("Step 1",k_(1),E_(a_(1))=180kJ //"mol"),("Step2", k_(2),E_(a_(2))=180kJ //"mol"),("Step3",k_(3),E_(a_(3))=180kJ //"mol"):} oveall rate constant, k=((k_(1)k_(2))/(k_(3)))^(2//3) overall activation energy of the reaction will be :

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    140 kJ/mol
    B
    150 kJ/mol
    C
    130 kJ/mol
    D
    120 kJ/mol
  • For a complex reaction A overset(k) rarr products E_(a1)=180kJ //mol e,E_(a2)=80kJ//mol ,E_(a3)=50kJ//mol Overall rate constant k is related to individual rate constant by the equation k=((k_(1)k_(2))/(k_(3)))^(2//3) . Activation energy ( kJ//mol ) for the overall reaction is :

    A
    100
    B
    43.44
    C
    150
    D
    140
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