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- List at least four experimentally determined parameters that you, an experimenter, can define when exploring the hydrolysis of ethyl benzoate by aqueous sodium hydroxide.Calculate the magnitude of the diffusion-controlled rate constant at 320 K for the recombination of two atoms in benzene, for which η = 0.601 cP. Assuming the concentration of the reacting species is 2.0 mmol dm−3 initially, how long does it take for the concentration of the atoms to fall to half that value? Assume the reaction is elementary.At 500 K, what is the fraction of molecular collisions with enough energy to result in a bimolecular reaction with Ea = 80 kJ mol−1?
- Calculate the magnitude of the diffusion-controlled rate constant at 320 K for the recombination of two atoms in water, for which η = 0.89 cP. Assuming the concentration of the reacting species is 1.5 mmol dm−3 initially, how long does it take for the concentration of the atoms to fall to half that value? Assume the reaction is elementary.The rate constant for the fi rst-order decomposition of N2O5 in the reaction 2 N2 O5(g) → 4 NO2(g) + O2(g) with v = kr[N2O5] is kr = 3.38 x 10-5 s-1 at 25 oC. What is the ha lf- life of N2O5? What w ill be the total pressure, init ial ly 78.4 kPa for the pure N2O5 vapour, (a) 5.0 s, (b) 5.0 min after init iation of the reaction?Derive the integrated form of a third-order rate law v = kr[A]2[B] in which the stoichiometry is 2 A +B −−→ P and the reactants are initially present in (a) their stoichiometric proportions, (b) with Bpresent initially in twice the amount.
- The activation energy for the decomposit ion of benzene diazon ium chloride is 99.1 kJ mol-1. At what temperature w ill the rate be 10 per cent greater than its rate at 25 oC?In an experiment on the adsorption of oxygen on tungsten it was found that the same volume of oxygen was desorbed in 27 min at 1856 K and 2.0 min at 1978 K. What is the activation energy of desorption? How long would it take for the same amount to desorb at (i) 298 K, (ii) 3000 K?Estimate the magnitude of the primary kinetic isotope effect on the relative rates of displacement of 1H and 3H in a C–H bond. Will raising the temperature enhance the difference? Take kf(C–H) = 450 N m−1.
- a. Express the rate in terms of change of concentration of A with respect to time where 2A + B -> products, rate = k[A]-1. b. Give the derived integrated rate law.Calculate the ratio of rates of catalyzed to non-catalyzed reactions at 37°C, given that the Gibbs energy of activation for a particular reaction is reduced from 100 kJ/mol to 10 kJ/mol. Ans: 1.5 x 1015The frequency factor for a second-order gas-phase decomposition of a species at low pressures is 2.3 × 1013 dm3 mol−1 s−1 and its activation energy is 30.0 kJ mol−1. What are (i) the entropy of activation, (ii) the enthalpy of activation, (iii) the Gibbs energy of activation at 298 K? Assume κ = 1.