--%>
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 : Explain Ohms law Ohm's law (G. Ohm;

    Ohm's law (G. Ohm; 1827): The ratio of the potential difference among the ends of a conductor to the current flowing via it is constant; the constant of proportionality is termed as the resistance, and is distinct for different materials.

    		•
  • Q : What is Universal age paradox Universal

    Universal age paradox: The two most straightforward techniques of computing the age of the Universe -- via red-shift measurements, and via stellar evolution -- outcome incompatible outcomes. Recent (in mid 1990s) measurements of the distances of far-a

    		•
  • Q : Explain Malus law Malus' law (E.L.

    Malus' law (E.L. Malus): The light intensity I of a ray with primary intensity I0 travelling via a polarizer at an angle theta among the polarization of the light ray and the polarization axis of the polarizer is specified by:

    Q : Kirchhoffs rules or Loop rule or Point

    Explain Kirchhoff's rules or Kirchhoff's Loop rule and Point rule? Kirchhoff's rules (G.R. Kirchhoff) <

    		•
  • Q : Define Hall Effect Hall Effect:

    Hall Effect: Whenever charged particles flow via a tube that has both an electric field and a magnetic field (that is perpendicular to the electric field) present in it, only assured velocities of the charged particles are favored, and will make it un

    		•
  • Q : Explain Schroedingers cat

    Schroedinger's cat (E. Schroedinger; 1935): A thought experiment designed to exemplify the counterintuitive and strange ideas of reality that come all along with the quantum mechanics. A cat is sealed within a clos

    		•
  • Q : Explain Daltons law of partial pressures

    Dalton's law of partial pressures (J. Dalton): The net pressure of a mixture of ideal gases is equivalent to the sum of the partial pressures of its components; which is the sum of the pressures which each component would exert when it were present al

    		•
  • Q : What is Coriolis pseudoforce Coriolis

    Coriolis pseudoforce (G. de Coriolis; 1835): The pseudoforce that arises since of motion relative to a frame that is itself rotating relative to the second, inertial frame. The magnitude of the Coriolis "force" is tot

    		•
  • Q : What are Trojan satellites Trojan

    Trojan satellites: Satellites that orbit a body at one or the other Trojan points associative to a secondary body. There are numerous illustrations of this in our own solar system: a collection of asteroids that orbit in the Trojan points of Jupiter;

    		•
  • Q : Define Siemens or SI unit of an

    Siemens: S (after E.W. von Siemens, 1816-1892): The derived SI unit of an electrical conductance equivalent to the conductance of an element which has a resistance of 1 O [ohm]; this has units of O-1.

    		•