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For a reaction between A and B , the initial rate of reaction is measured for various initial concentrations of A and B . The data provided are The overall order of the reaction isA. OneB. TwoC. Two or halfD. Three |
Answer» Correct Answer - a If the order of reaction w.r.t. A is n and the order of reaction w.r.t. B is m rate law becomes Rate = `k [A]^(n)[B]^(m)` From (i) ` 5 xx 10^(-5) = [0.20]^(n) [0.30]^(m) " " … (i)` From (ii) `5 xx 10^(-5) = [0.20]^(n) [0.10]^(m) " " ... (ii)` From (iii) ` 1 xx 10^(-5) = [0.40]^(n) [0.05]^(m) " "... (iii)` or `10 xx 10^(-5) = [0.40]^(n) [0.05]^(m)` From equations (i) and (ii) , `(5 xx 10^(-5))/(5 xx 10^(-5)) = [(0.20)/(0.20)]^(n) [ (0.30)/(0.10)]^(m)` `1 = (3)^(m) implies (3)^(0) = (3)^(m) implies m = 0` From equations (ii) and (iii) , `(5 xx 10^(-5))/(10 xx 10^(-5)) = ((0.20)/(0.40))^(n) ((0.10)/(0.05))^(m)` `(1)/(2) = ((1)/(2))^(n) implies ((1)/(2))^(1) = ((1)/(2))^(n) implies n = 1`s Overall order of the reaction = n + m = 1 + 0 = 1. |
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