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A possible mechanism for hydrogenation of ethylene, in presence of mercury vapour, is C_(2)H_(2)+ H_(2) rarr C_(2) H_(2)("overall") Steps :Hg + H_(2) overset(K_1)(rarr) Hg + 2H H + C_(2)H_(4) overset(K_(2))(rarr) C_(2)H_(2) C_(2)H_(2) + H_(2) overset(K_(3))(rarr)C_(2)H_(6)+H_(-) H+ H overset(K_(4))(rarr) H_(2) Determine the rate of formation of C_(2) H_(2) in terms of rate constants and the concentrations [Hg], [H_(2)] and [C_(2)H_(4)] Assume that H and C_(2)H_(5) reach steady state concentration.

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Answer :`(d[C_(2)H_(6)])/dt = k_(2) (k_(1)/k_(2) )^(1//2) [C_(2)H_(4)][Hg]^(1//2)[H_(2)]^(1//2)`


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