--%>
Assignment Help - homework help

Collision & Transition State Theory Homework


Assuming ideal gas: a)  Calculate the average velocity of a nitrogen molecule at 298K and compare to the velocity of a helium molecule at the same conditions.

b)      Calculate the temperature where the velocity of a nitrogen molecule will be the same as that of a helium molecule at 298K.

2. Assuming 1 mol of ideal gas at 100 °C and 1 atm. total pressure and a collision time of 10-13 seconds:

a)      Calculate the total collision number for O2 molecules.  Estimate the molecular diameter for O2 using ChemSketch.

b)      Calculate the total collision number for a mixture of O2 and O4 molecules.  Use a molecular diameter of 4 Å for O4 complexes and assume that all O2-O2 collisions result in the formation of one O4 complex.

a)      What can be concluded regarding the relative likelihood of 2-body interactions (O2-O2) as compared to 3-body interactions (O2-O4)?

 

3. The decomposition of HI:

 

2HI - > I2 + H2

has an experimentally-determined rate constant at 321.4 °C and 1.0 atm of k = 2.0x10-6 l/gmol-s

From collision theory, estimate the rate constant for this reaction and compare to the experimental value.  Assume the steric factor (p) is equal to unity and the activation energy for the reaction is Ea=44 Kcal/gmol. Estimate σAA using ChemSketch.

 

4.  The reaction between atomic and molecular hydrogen proceeds via a linear symmetrical transition state (H3):

H + H2 < -> (H3 ) -> H2+H

Compute the frequency factor (pre-exponential) for this reaction at 300K using transition state theory.

Data:

Moment of inertia (H3) = 3.34x10-40 g-cm2

Moment of inertia (H2) = estimate using ChemSketch

Fundamental vibrational frequency (H2) @ 4395.2 cm-1

Fundamental Frequencies, H3

                Stretching @ 3650 cm-1

                Doubly degenerate bending @ 670 cm-1 

  σ (O2) = 2.636 Å

 σAA = 3.47 Å

 I (H2) = 4.2X10-41 g-cm2

   Related Questions in Physics

  • Q : Velocity of the particle Determine the

    Determine the Velocity of the particle in terms of component veocities?

    		•
  • Q : Plasma globe AD advantages and

    advantages and disadvantages of a plasma globe

    		•
  • Q : Explain Chronology protection conjecture

    Chronology protection conjecture (S.W. Hawking): The notion that the formation of any closed time like curve will (automatically) involuntarily be destroyed by the quantum fluctuations as soon as it is made. In another words, the quan

    		•
  • Q : What is Kerr effect Kerr effect (J.

    Kerr effect (J. Kerr; 1875): The capability of certain substances to refract light waves in a different way whose vibrations are in dissimilar directions whenever the substance is located in an electric field.

    		•
  • Q : Explain avogadro's hypothesis

    Avogadro's hypothesis (Count A. Avogadro; 1811): Equivalent volumes of all gases at similar temperature and pressure contain equivalent numbers of molecules. This is, in fact, true only for the ideal gases.  <

    		•
  • Q : What is Cherenkov radiation Cherenkov

    Cherenkov radiation (P.A. Cherenkov): The radiation emitted by a huge particle which is moving faster than light in the medium via which it is travelling. No particle can travel faster than the light in vacuum, however the speed of light in other medi

    		•
  • Q : Does solar radiation encompass a

    Does solar radiation encompass a complete spectrum of all the forms of electromagnetic radiation?

    		•
  • Q : Calculating current in magnetically

    For the magnetically coupled circuit in Figure a, calculate I1 and I2. If the dotted terminals in are changed so that the circuit now becomes that in Figure b, re-calculate I1 and I2.

  • Q : How elevation and air pressure affects

    Briefly state how does the elevation and air pressure affects the boiling point of water?

    		•
  • Q : Free fall acceleration What do you mean

    What do you mean by the term free fall acceleration? State its significance in brief?

    		•