Upgrading iMac CPU, need help finding the right Chip...

Hello ifixit, I have recently used a guide on this site to help me upgrade my iMac mid-2010, 21.5 inches to an Intel i5, 3.6. Now I’m looking to upgrade to an i7. I know the whole thing about how the regular i7´s have too high of a Wattage to bring me to the boot screen, but the Intel Core i7-860S/i7-870S have a lower wattage consumption, and I was wondering if anyone could help me figure out if this CPU would be compatible with my machine. I would really hate to work on my machine for 4+ hours, only to figure out the CPU is not compatible, and have to undo everything I just did. Any help is greatly appreciated, thanks!