Problem 1.5 from Chemical Kinetics and Dynamicâ, 2nd Edition by Jeffrey Steinfeld
Derive the integrated rate equation for a reaction of 3/2 order in a single reactant. Derive the expression of the half-life of such a reaction. Can you think of an example of such a reaction? Derive the integrated rate equation for a reaction of order n. The first-order gas reaction SO_2Cl_2 rightarrow SO_2 + Cl_2 has k_1 = 2.20 times 10^-5 8^-1 at 593 K. What percent of a sample of SO_2Cl_2 would be decomposed by heating at 593 K for 1 hour? For 3 hours? How long will it take for half the SO_2Cl_2 to decompose? The kinetics of the formation of ethyl acetate from acetic acid and ethyl alcohol as homogeneously catalyzed by a constant amount of HCl has been studied by titrating 1-cc aliquots of the reaction mixture with 0.0612 N base at various times. The following data have been obtained at 25 degree C [O. Knoblauch, Z. physik. Chem. 22, 268 (1897)]: Basic Concepts of Kinetics Initial Concentrations [CH_3COOH] = 1.000 M [C_2H_5OH] = 12.756 M [H_2O] = 12.756 M [CH_3COOC_2H_5] = 0 The overall reaction can be written as CH_3COOH + C_2H_5OH irreversible^k_1_k_-1 CH_3COOC_2H_5 + H_2O The reaction has been found to be first order with respect to each of the four reactants. Calculate the specific rate constants k_1 and k_-1. What is the equilibrium constant K_1 at 25 degree C? Nitrogen pentoxide decomposes according to the reaction N_2O_5 rightarrow2 NO_2 + 1/2 O_2 with rate constant k. The measured rates between 273 K and 338 K are as follows:
