The homogeneous dimerization of butadiene: 2C,H(g) = CgH12(g), has been studied by a number of investigators and found to have an experimental activation energy of 23960 cal/ mol, as indicated by the following equation: %3D k = 9.2 x 10°e-23960/RT cm³mol-'s-1 a. What proportion of the collisions between C4H6 molecules have enough energy to result in reaction when the temperature is 200°C? b. Use the collision theory to predict a value of the pre-exponential factor (in SI units) at 600 K. Assume that the collision diameter is 5 x 10-cm. c. By how many times the calculated value of the pre-exponential factor is greater than the experimental value? Suggest a reason for this discrepancy.

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Question No., 4:
The homogeneous dimerization of butadiene: 2C,Hs(g) = C8H12(g), has been studied
by a number of investigators and found to have an experimental activation energy of
23960 cal/ mol, as indicated by the following equation:
k = 9.2 x 10°e-23960/RT cm³mol-'s-1
a. What proportion of the collisions between C4H6 molecules have enough
energy to result in reaction when the temperature is 200°C?
b. Use the collision theory to predict a value of the pre-exponential factor (in SI
units) at 600 K. Assume that the collision diameter is 5 x 10-°cm.
c. By how many times the calculated value of the pre-exponential factor is
greater than the experimental value? Suggest a reason for this discrepancy.
Transcribed Image Text:Question No., 4: The homogeneous dimerization of butadiene: 2C,Hs(g) = C8H12(g), has been studied by a number of investigators and found to have an experimental activation energy of 23960 cal/ mol, as indicated by the following equation: k = 9.2 x 10°e-23960/RT cm³mol-'s-1 a. What proportion of the collisions between C4H6 molecules have enough energy to result in reaction when the temperature is 200°C? b. Use the collision theory to predict a value of the pre-exponential factor (in SI units) at 600 K. Assume that the collision diameter is 5 x 10-°cm. c. By how many times the calculated value of the pre-exponential factor is greater than the experimental value? Suggest a reason for this discrepancy.
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