--%>
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 : 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 : Define Lumen or SI unit of luminous flux

    Lumen: lm: The derived SI unit of luminous flux, stated as the luminous flux produced by a uniform point source of 1 cd releasing its luminous energy over a solid angle of 1 sr; it therefore has units of cd sr.

    		•
  • Q : Engineering in brief Define the term

    Define the term engineering in brief.

    		•
  • Q : What is baryon decay Baryon decay - The

    Baryon decay -The idea expected by several grand-unified theories, those classes of subatomic particles termed as baryons (of which the nucleons -- neutrons and protons -- are members) are not eventually stable however indeed de

    		•
  • Q : What is Farad or SI unit of capacitance

    What is Farad or SI unit of capacitance? Farad: F (after M. Faraday, 1791-1867): The derived SI unit of the capacitance stated as the capacitance in a capacitor that, when charged to 1 C, contains

    		•
  • Q : What is basic SI unit of electric

    basic SI unit of electric current is termed as Ampere: A (after A.M. Ampere, 1775-1836) The basic SI unit of electric current, stated as the current that, when going via two infinitely-long parallel conductors of v

    		•
  • Q : Explain Thomson experiment or Kelvin

    Thomson experiment: Kelvin effect (Sir W. Thomson [later Lord Kelvin]): Whenever an electric current flows via a conductor whose ends are maintained at various temperatures, heat is discharged at a rate just about proportional to the

    		•
  • Q : What is Bode's law Bode's law :

    Bode's law: Titius-Bode law - The mathematical formula that generates, with a fair quantity of accuracy, the semi major axes of the planets in out of order from the Sun. Write down the progression 0, 3, 6, 12, 24,

    		•
  • Q : Explain Einstein field equation

    Einstein field equation: The cornerstone of Einstein's general theory of relativity, associating the gravitational tensor G to the stress-energy tensor T by the simple equation: G = 8 pi T<

    		•
  • Q : Define Universal constant of gravitation

    Universal constant of gravitation: G The constant of proportionality in the Newton’s law of universal gravitation and that plays a comparable role in Sir Einstein's general relativity. This is equivalent to the 6.672 x 10-1

    		•