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(a)Write general reaction and derive the units of rate constant.(b)Based on that write the rate constant for zero,first and 2^(nd) order reaction. |
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Answer» Solution :(a)General REACTION:aA+bB`to` cC+dD The differential rate expression of general reacion is as under: Rate=`-(d[R])/(dt)=K[A]^(x)[B]^(y)`……(i) `therefore k=(Rate)/([A]^(x)[B]^(y))`…….(II) Where ,order of reaction (x+Y)=n and n=0,1,2,3,`(1)/(2),(3)/(2)`....ETC The Si units of CONCENTRATION is mol `L^(-1)` and time `(s^(-1))` which is unit of concentration /time.Order of reaction =n,so unit of n is (mol `L^(-1))^(n)` Put these value in equation (ii) and the unit of K `k=("concentration")/("time")xx(1)/("concentration")` `=(mol L^(-1))/(time)xx(1)/((mol L^(-1))^(n))` Unit of k=`((mol L^(-1))^((1-n)))/("second")` Unit of k=`(mol L^(-1))^(1-n)S^(-1)` Where ,n=order of the reaction . Note :For time ,in place of second,minutes ,hours,day years etc.may present. 
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