Tutorial -CHE 206 1.0 Chemical Kinetics 1. The effective rate constant for a gaseous reaction which has a Lindemann– Hinshelwood mechanism is 1.7×10-3 s-1 at 1.09 kPa and 2.2×10-4 s-1 at 25 Pa. Calculate the rate constant for the activation step in the mechanism. 2. A rate constant is found to fit the expression kr = (4.98 × 1013)e-(4972 K)/T dm3 mol-1 s-1 near 25 °C. Calculate Δ‡G for the reaction at 25 °C. 3. The mechanism of a composite reaction consists of a fast preequilibrium step with forward and reverse activation energies of 27 kJ mol-1 and 35 kJ mol-1, respectively, followed by an elementary step of activation energy 15 kJ mol-1. What is the activation energy of the composite reaction? 4. The rate constant for the decomposition of a certain substance is 2.25×10-2 dm3 mol-1 s-1 at 29 °C and 4.01×10-2 dm3 mol-1 s-1 at 37 °C. Evaluate the Arrhenius parameters of the reaction. 5. The rate law for the reaction was reported as d[C]/dt=kr[A][B][C]-1. Express the rate law in terms of the reaction rate v; what are the units for kr in each case when the concentrations are in moles per cubic decimetre? 6. The second-order rate constant for the reaction A +2 B→C+D is 0.34 dm3 mol-1 s-1. What is the concentration of C after (i) 20 s, (ii) 15 min when the reactants are mixed with initial concentrations of [A]=0.027 mol dm-1 and [B]=0.130 mol dm3? 7. The equilibrium A⇌B+C at 25 °C is subjected to a temperature jump which slightly increases the concentrations of B and C. The measured relaxation time is 3.0µs. The equilibrium constant for the system is 2.0×10-16 at 25 °C, and the equilibrium concentrations of B and C at 25 °C are both 0.20 mmol dm-3. Calculate the rate constants for the forward and reverse steps.