Rate constant help for this reaction please

[maistral]

TL;DR

Deciphering old journal's rate constant notation.

So I was looking for some rate constants for a certain reaction and I found these:

So I wanted to try them. The problem is, I have no idea how to correctly write the rate constants. Reactions number 1 to 6 is a no-brainer as it's simple Arrhenius. My problem is for rate constants 7 to 12. I am aware of evaluating T at T_r, the problem is I have no idea how to write the entire Arrhenius form and I am somehow unable to wrap my head around it. Can someone give me an idea how? Thanks.

EDIT: I'm guessing, but are these correct? I follow the equation then I compute the preexponential? For rate constant 7, this:

and for rate constant 12, this:

 

[mjc123]

What is the number 1700? Is that ρ_b? do you know that from somewhere? What else do you know?
Your denominator should have 220.5 in the exponential term, not 158.6. (And that means you should us a value of R in kJ/mol/k.)
Is the activation energy of -30.6 kJ/mol for reaction 6 a typo for 30.6? If not, then it's not "simple Arrhenius"!
With these caveats, I think you are on the right lines.

 

[maistral]

Ah, yes. The variable ρ_b is 1700. And yeah, 158.6 is a typo, and it should be 220.5. Also, for reaction 6 apparently it's really -30.6 as stated by the paper.

Thanks for assuring me that I am somewhat 'okay'. I really appreciate it as I am really confused with this.