Problem 4. Consider the following reaction in which a species a approaches from-co and crosses an...

 

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Problem 4. Consider the following reaction in which a species a approaches from-co and crosses an energy barrier of height um, at x = 0 and then falls in the potential well at b. Let the left side (-00 < x < 0) of the potential be u(x)-um(1-2), where is a small length scale that called an activation length. a 0 x +00 In the class, we derived an equation for reaction flux as follows: J=D Caekat-Chekar u(x) Sekat dx As you see, the forward flux is J = D-Cae u(x) SekBT dx Calculate this forward reaction flux using the expression for the potential u(x) given above. Using a simple dimensional analysis, show what is the activation energy. What does the pre- factor indicate? What would be the velocity of forward reaction? Problem 4. Consider the following reaction in which a species a approaches from-co and crosses an energy barrier of height um, at x = 0 and then falls in the potential well at b. Let the left side (-00 < x < 0) of the potential be u(x)-um(1-2), where is a small length scale that called an activation length. a 0 x +00 In the class, we derived an equation for reaction flux as follows: J=D Caekat-Chekar u(x) Sekat dx As you see, the forward flux is J = D-Cae u(x) SekBT dx Calculate this forward reaction flux using the expression for the potential u(x) given above. Using a simple dimensional analysis, show what is the activation energy. What does the pre- factor indicate? What would be the velocity of forward reaction?