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### Topic: Rates of rxns and accounting for the rate laws hw problems  (Read 2944 times)

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#### asdfomg12

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##### Rates of rxns and accounting for the rate laws hw problems
« on: May 02, 2012, 05:44:58 PM »
Q1: A proposed mechanism for the reaction 2NO + O2    2NO2 is

step(1) NO + NO  N2O2 (k1 E1 = 82kJmol-1)
step(2) N2O2  NO + NO (k2 E2 = 205kJmol-1)
step(3) N2O2 + O2 2NO2 (k3 E3 = 82kJmol-1)

(a)   Derive the rate law in terms of the rate of formation of NO2  , that is   (d[NO2])/dt.    [10]

(b)If  k2[N2O2] >> k3[N2O2][O2], show that the rate law reduces to
d[NO2]/dt = ((2k1k3)/k2)[N)2][O2]

(c)   Show that the expression given in (b)is the results obtained by using the rate determining step approximation by deriving the rate law if we assume that steps (1) and (2) are in a rapid equilibrium and step (3) is slow.

(d)   Using the rate law given in (b), what is the overall activation energy for this reaction?

Q2:
If  234Pa is the end product of the decay sequence of 238U    (actually it’s  206Pb), that is:

238 234Th  234Pa
where the half-life of 238U to 234Th is 4.5x109yr and 234Th to 234Pa is 24.1day

(a)   If we start with 1 mg of  238U , how much 238U  will be present after 60 days?

(b)   How much 234Th will be present after 60 days?

(c)   How much 234Pa will be formed after 60 days?

Q3:
Provided  you have sets of initial rate data for enzyme and substrate, explain using words and appropriate equations how to

(a)   Determine the partial orders and overall order of the reaction.
(b)   Obtain the value of the pseudo-order rate constant.
(c)   Obtain the effective rate constant.

Q4:
For a given reaction the following half-life and initial concentration data was collected.  Use this data to determine the reaction’s order and rate constant.

t1/2 / s     [A]0 / mol dm-3
0.160          0.050
0.0841         0.085

Q5:
A particular enzyme catalyzed reaction was followed and data collected as indicated below.  Using the data, determine the Michaelis constant and the maximum velocity of the reaction.

[S(had to include this text to avoid strikeout text effect)]0 / 10-6 mol dm-3 values in order: 31.8, 46.4, 59.3, 118.5, 222.2
v / 10-9 mol dm-3 s-1 corresponding values in order: 0.070, 0.0972, 0.1167, 0.1592, 0.1945

Q6:
(a)   The half-life for a general nth order reaction is given by the expression  t1/2 = (2n-1 - 1)/ k(n-1)[A]n-10.  Are there any reactions for which the half-life is independent of the initial concentration?  If so, what is it and does this expression apply?

(b)   I discussed the Mechaelis-Menten mechanism of enzyme action in class.  What are its limitations?

(c)   What is the difference between thermodynamic and kinetic control of a reaction.

(d)   Is it possible for the activation energy of a reaction to be negative?  Explain your conclusion and provide a molecular level explanation.

(e)   Define the terms in and discuss the limitations of the Arrhenius equation?

#### Borek

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##### Re: Rates of rxns and accounting for the rate laws hw problems
« Reply #1 on: May 02, 2012, 05:46:45 PM »