Chosen Solution

Can I upgrade the CPU in my Mid 2011 21.5” system? Currently it has the intel 2.7 GHz Intel Core i5. If I can upgrade what is the best possible CPU to put in?

Yes, your system can support a better CPU. But you are limited to what Apple offered 2.8 GHz Core i7 (I7-2600S) as the most powerful in this series. This is due to the CPU socket - LGA 1155 and the TDP limits the system can support. But! Before you go down that direction, you might find other improvements will get you more performance for less money and/or work! As an example: Upgrading your RAM to 16 GB which is the easiest to doUpgrade your HDD to either a SSHD or SSDOr, install a second drive here a SSD. While the hardest offers the best performance for the least amount of money (you don’t need as large a drive as above)

Yes to I7 quadcore it’s easy to do.