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Rate laws (2). Lec 3 Week 4 . Non elementary Rate Laws. A large number of both homogeneous and heterogeneous reactions do not follow simple rate laws. Examples of Homogeneous Reactions CO +Cl 2 COCl 2
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Rate laws (2) Lec 3 Week 4
Non elementary Rate Laws • A large number of both homogeneous and heterogeneous reactions do not follow simple rate laws. Examples of Homogeneous Reactions CO +Cl2 COCl2 • This reaction is first order with respect to carbon monoxide, three-halves order with respect to chlorine. and five-halves order overall
Non elementary Rate Laws Example of Heterogeneous Reactions • In many pas-solid catalyzed reactions. It historically has been the practice to write the rate law in terms of partial pressures rather than concentrations. C6H5CH3+ H2 C6H6 +CH4
Rate laws for reversible reactions • we shall consider this gas-phase reaction to be elementary and reversible:
The reaction rate constant (k) • The reaction rate constant k or the specific reaction rate is not truly a constant. • It is merely independent of the concentrations of the species involved in the reaction. • It is almost always strongly dependent on temperature. • It depends on whether or not a catalyst is present, • In gas-phase reactions, it may be a function of total pressure. • In liquid systems it can also be a function of other parameters, such as ionic strength and choice of solvent. These other variables normally exhibit much less effect on the specific reaction rate than temperature does.
Arrhenius equation • for the purposes of the material presented here. it will assumed that kA, depends only on temperature. • it was the great Swedish chemist Arrhenius who first suggested that the temperature dependence of the specific reaction rate, kA, could be correlated by the following equation: • where A = pre-exponential factor or frequency factor • E = activation energy. J/mol or cal/mol • R = gas constant = 8.3 14 J/mol.K = 1.987 cal/mol.K • T= absolute temperature, K
The activation energy, E, is determined experimentally by carrying out the reaction at several different temperatures. After taking the natural logarithm of Equation (Arrhenius equation) we obtain; • and see that the activation energy can be found from a plot of In kA, as a function of (1/T)
Assignment • Example (1) Calculate the activation energy for the decomposition of benzene diazoninum chloride to give chlorobenzene and nitrogen: • using the information in Table (1) for this first-order reaction.
Solution Graphically Semi log plot of 1/T vs. log K and use the following equation to determine (E) Rearrange to get