Reaction rates: Interpreting energy profiles for reactions and imp pts Transition state-peak of energy profile Ea for reactants- energy from reactants starting pt to peak=t.s Delta H- change in energy of reactants and products Ea for products-energy from product starting pt to peak=t.s. Ea= activation energy- energy needed for rxn to occur Delta H- exothermic rxn- negative delta H, endothermic rxn-positive delta H Delta H-product H- reactant H • Low Ea, High T → large k → faster reaction. (T-temperature) We determine an instantaneous rate at time t: • by calculating the negative of the slope of the curve of concentration of a reactant versus time at time t. • • by calculating the slope of the curve of concentration of a product versus time at time t Expressions for rate of reaction- decomposition/formation Rate of rxn= rate of disappearance of reactant For example A product Rate= d[A]/dt change in the concentration of A over the time of the reaction Rate= -k[A] (negative because its disappearing, the conc is decreasing) * the rate law is determined experimentally* • Rate = -ΔReactant/ΔTime = how fast a reactant disappears. Rate = ΔProduct/ΔTime = how fast a product forms. Balanced chemical eqns from the rates using the equation aA+bB -> cC +dD where the lower case letters ( a) represent the coefficient of the balanced equation and the upper case letters (A) represent the molecule. It is seen that the Rate of Disappearance are: -∆[A]/∆t*1/a=-∆[B]/∆t*1/b and the Rate of Formation are: ∆[C]/∆t*1/c=∆[D]/∆t*1/d Since Rate of Disappearance and Rate of Formation are equal to one another -∆[A]/∆t*1/a=-∆[B]/∆t*1/b=∆[C]/∆t*1/c=∆[D]/∆t*1/d Calculate avg rxn rates Determine order of reaction Zero order reaction- rate=k-constant, independent of concentration in a first-order reaction the rate is proportional to one concentration; in a secondorder reaction it is proportional to the product of two concentrations or to the square of one concentration; and so on. Reaction order of each species if identical with the stoichiometric coefficient of that species Reaction order = sum of all exponents of the concentration variables in the rate law. Reaction Reaction Type Rate Law(s) Order Unimolecular 1 r = k[A] Bimolecular 2 r = k[A]2, r = k[A][B] Termolecular 3 r = k[A]3, r = k[A]2[B], r = k[A][B][C] Zero order 0 r=k reaction Determination of rate law- calculate k and its units They should give you experimental data to fill this out 1st look at chart and see what happens when a certain reactant’s concentration is doubled etc. 2-find rate law from that ex r=k[A][B]^2 3-plug in one trial in the data given to above eqn to solve for k 4-determine units by also plugging in units and canceling