The enzyme catalase catalyzes the decomposition of hydrogen peroxide: 2 H2O2 ++ 2 H20 + O2 The turnover number (kea) for catalase is 40,000,000 sec-1. The Km of catalase for its substrate H;O, is 0.11 M. (i) In an experiment using 3 nanomole/mL of catalase, what is Vmax? (ii) What is the catalytic efficiency of catalase?
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A: Given, Vo=220 nM/s= kcat = 555 s-1 [E]T=3.2 nM [S]=55 μM=55000 nM
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- Define stability from both a kinetic and thermodynamic perspective. Give examples to show the differences in these concepts.The rate of photodecomposition of the herbicide piclo- ram in aqueous systems was determined by exposure to sunlight for a number of days. One such experiment produced the following results. (Data from R.T. Hedlun and C.R. Youngson, “The Rates of Photodecomposition of Picloram in Aqueous Systems," Fate of Organic Pesticides in tbe Aquatic Environment, Advances in Chemistry Series, #111, American Chemical Society (1972), 159—172.) Exposure Time, t (days) [Pidoram] (mol L_1) 0 4.14 X 10-6 7 3.70 X 10-6 14 3.31 X 10-6 21 2.94 X 10~6 28 2.61 X 10~6 35 2.30 X 10-6 42 2.05 X 10-6 49 1.82 X 10"6 56 1.65 X 10-6 Determine the order of reaction, the rate constant, and the half-life for the photodecomposition of picloram.A research group discovers a new version of happyase, which they call happyase*, that catalyzes the chemical reaction HAPPY ⇌ SAD. The researchers begin to characterize the enzyme. (a) In the first experiment, with [Et] at 4 nM, they find that the Vmax is 1.6 μM s−1. Based on this experiment, what is the kcat for happyase*? (Include appropriate units.) (b) In another experiment, with [Et] at 1 nM and [HAPPY] at 30 μM, the researchers find that V0 = 300 nM s−1. What is the measured Km of happyase* for its substrate HAPPY? (Include appropriate units.) (c) Further research shows that the purified happyase used in the first two experiments was actually contaminated with a reversible inhibitor called ANGER. When ANGER is carefully removed from the happyase preparation and the two experiments repeated, the measured Vmax in (a) is increased to 4.8 μM s−1, and the measured Km in (b) is now 15 μM. For the inhibitor ANGER, calculate the values of α and α′. . (d) Based on the information given…
- (3) 13. For the following questions, use the following diagrams. Uncatalyzed Reaction Catalyzed Reaction 400 400 300 300 reactants reactants 200 200 100 100 products products Reaction coordinate Reaction coordinate (1) (a) What is the value of the forward activation energy of the uncatalyzed reaction? (1) (b) What is the value of the reverse activation energy of the catalyzed reaction? (1) (c) What is the overall enthalpy (AH) of the forward reaction? Potential energy (kJ) Potential energy (kJ)(a) The following equation shows the decomposition of SO;Cl; with a rate constant, k= 5.09 x 10*s' at 320 K: SO:Che) → SO:(e) + Che State the order of the reaction. (ii) Sketch a graph of the reaction rate versus the concentration of SO:Cl. (iii) At 320 K, 1.0 mol of SO:Cl, is left decompose in a 2.0L container. Determine the concentration of SO:Clh after 30 minutes. (b) State two requirements for effective collisions. (c) Explain how the rate of reaction is affected by the following factors: (1) Pressure (1) Particle sizeThe rate constant of the elementary reaction BH, (aq) + NH (aq) → BH;NH3 (aq) + H2 (g) is k = 1.94 x 10-4L mol¯' s-' at 30.0°C, and the reaction has an activation energy of 161 kJ mol. (a) Compute the rate constant of the reaction at a tem- perature of 40.0°C. (b) After equal concentrations of BH (aq) and NH, (aq) are mixed at 30.0°C, 1.00 × 10ª s is required for half of them to be consumed. How long will it take to consume half of the reactants if an identical experi- ment is performed at 40.0°C?
- In a study of the conversion of methyl isonitrile to acetonitrile in the gas phase at 250 °CCH3NC(g)CH3CN(g)the concentration of CH3NC was followed as a function of time.It was found that a graph of ln[CH3NC] versus time in seconds gave a straight line with a slope of -4.38×10-3 s-1 and a y-intercept of -2.83 . Based on this plot, the reaction is ______ order in CH3NC and the half life for the reaction is _______ seconds.In a study of the gas phase decomposition of hydrogen peroxide at 400 °CH2O2(g)H2O(g) + ½ O2(g)the concentration of H2O2 was followed as a function of time.It was found that a graph of 1/[H2O2] versus time in seconds gave a straight line with a slope of 1.03 M-1 s-1 and a y-intercept of 13.4 M-1.Based on this plot, the reaction is (frist, second, zero)__________ order in H2O2 and the rate constant for the reaction is _____________ M-1 s-1.In a study of the decomposition of nitrous oxide at 565 °CN2O(g)N2(g) + ½ O2(g)the concentration of N2O was followed as a function of time.It was found that a graph of 1/[N2O] versus time in seconds gave a straight line with a slope of 1.55×10-3 M-1 s-1 and a y-intercept of 0.952 M-1.Based on this plot, the reaction is order in N2O and the rate constant for the reaction is M-1 s-1.
- Suppose the formation of tert-butanol proceeds by the following mechanism: step elementary reaction rate constant CBr(aq) (CH), С"(аg) + Br (ag) c* k 1 2 (CH3),C"(aq) + OH (aq) → (CH,),COH(aq) k2 3 3 Suppose also k, «k,. That is, the first step is much slower than the second. Write the balanced chemical equation for the overall chemical reaction: Write the experimentally- observable rate law for the overall chemical reaction. rate = k U Note: your answer should not contain the concentrations of any intermediates. Express the rate constant k for the overall chemical reaction in terms of k1, k2, and (if necessary) the rate constants k.1 and k-2 for 0 k = the reverse of the two elementary reactions in the mechanism.(a) Explain the meaning of the sentence:“The velocity laws of reactions are empirical” (b) It can be determined that the velocity law of a generic reaction A +B→Pév = k[A]x[B]y. Plot on a graph the variation of [A] and [P] with time, and explain why v= d[P]/dt = -d[A]/dt. (c) Explain the meaning of the terms k, x and y, in the velocity law, presented in item b: (d) Explain what it means in practice for a velocity law to be of zero order. Plot ,A as a function of t, for the zero-order reaction A→Products. (e) Explain what elementary reactions are and how they can be classified.حد يدبرلنا طريقة حل فرع C A research group discovers a new version of happyase, which they call happyase*, that catalyzes the chemical reaction HAPPY ⇌ SAD. The researchers begin to characterize the enzyme. (a) In the first experiment, with [Et] at 4 nM, they find that the Vmax is 1.6 μM s−1. Based on this experiment, what is the kcat for happyase*? (Include appropriate units.) (b) In another experiment, with [Et] at 1 nM and [HAPPY] at 30 μM, the researchers find that V0 = 300 nM s−1. What is the measured Km of happyase* for its substrate HAPPY? (Include appropriate units.) (c) Further research shows that the purified happyase used in the first two experiments was actually contaminated with a reversible inhibitor called ANGER. When ANGER is carefully removed from the happyase preparation and the two experiments repeated, the measured Vmax in (a) is increased to 4.8 μM s−1, and the measured Km in (b) is now 15 μM. For the inhibitor ANGER, calculate the values of α and α′. . (d)…