It makes more sense just talking to someone about it.
Yeah, increasing the temperature will increase the rate.
It's very tempting to go down the following path of logic: If you had a mol of Chlorine and you had an oven that was working at 1500Watts or 1500 J/sec, and you could remove the Cl radical selectively from the system, I would suppose in 160seconds would be all that is necessary to completely convert Chlorine gas into chlorine radicals assuming that this process was 100% efficient and the radicals don't reform to give Cl2.
I'm usually very clever in distinguishing between kinetics and equilibrium effects. But, I find myself having a harder and harder time with these fundamental principles as my qualifying exam approaches nearer and nearer.