--%>
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 : Define Uniformity principle Uniformity

    Uniformity principle (E.P. Hubble): The principle which the laws of physics here and now are not dissimilar, at least qualitatively, from the laws of physics in preceding or future epochs of time, or somewhere else in the Universe. This principle was

    		•
  • Q : Problem on spacecraft Assuming that

    Assuming that ground stations are equally distributed on the Earth, how many ground stations are required to maintain constant contact with a spacecraft at 750 km altitude, and 72 degrees inclination?

    		•
  • Q : What is Hubble constant Hubble constant

    Hubble constant: H0 (E.P. Hubble; 1925): The constant that determines the relationship among the distance to a galaxy and its velocity of recession due to the growth of the Universe. As the Universe is self-gravitating, it is not trut

    		•
  • Q : Define Hoop conjecture Hoop conjecture

    Hoop conjecture (K.S. Thorne, 1972): The conjecture (as so far unproven, although there is substantial proof to support it) that a non-spherical object, non-spherically compressed, will only form a black hole whenever all parts of the

    		•
  • Q : Define Singularity Singularity : The

    Singularity: The center of a black hole, where the curvature of space-time is maximal. At singularity, the gravitational tides deviate; no solid object can yet theoretically survive beating the singularity. Though singularities usually predict inconsi

    		•
  • Q : Explain Planck radiation law Planck

    Planck radiation law: The law which explained blackbody radiation better than its precursor, therefore resolving the ultraviolet catastrophe. This is based on the supposition that electromagnetic radiation is quantized.

    Q : Explain Casimir effect Casimir effect

    Casimir effect (Casimir): The quantum mechanical effect, where two very big plates positioned close to each other will experience an attractive force, in the nonattendance of other forces. The cause is implicit particle-antiparticle p

    		•
  • Q : Physics Assignement complete assignment

    complete assignment with clear solution and explanation

    		•
  • 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 Edwards-Casimir quantum vacuum

    What is Edwards-Casimir quantum vacuum drive: The hypothetical drive developing the peculiarities of quantum mechanics by restricting permitting wavelengths of the virtual photons on one side of the drive (that is the bow of the ship); the pressure pr

    		•