For the elementary reaction:
A ā B with forward and backward rate constants kā and kāā respectively, we measured a ĪGā° for the reaction of ā2 kJ/mol, and an activation free energy ĪGā°ā” of 7 kJ/mol (for the forward reaction).
a. What is the activation free energy barrier for the backward reaction?
b. If initially we have [B]ā= 0, which one of these two sketches best represents the concentration of A and B versus time at 25 °C? Explain in detail!
c. Sketch the forward and backward rates versus time (again, if [B]ā=0), in the same plot. Sketch means that you do not need to put actual numbers, but you need to have axes, labels, and show limits (what happens as t ā 0 < as t ā infinite? etc)
d. Sketch [A]/[B] at equilibrium as a function of Temperature
e. At what temperature will the forward rate be 2 times faster than at 25 °C? To answer this section requires solving for a weird equation. Please google how to solve an equation iteratively, or you can try plotting data and extracting the answer.
f. Write the expression for the forward and backward rate constant at the temperature derived in e.