Possible to complete swap out the Core Duo 2 to i7

I completely removed my logic board and heat sink with gpu from my 2009 3.06 Core Duo 2 iMac 27” And was curious if I purchased the exact same product with heat sink, gpu attached out of a 2009 2.8 Core i7 iMac 27”, would I be able to put it into the case of my iMac and completely replace the Core Duo 2 that was in there? Or would I have an issue with some plugs or connections that are part of the iMac case? Just asking that way I know if I can just buy the part and get my computer up and running again or just buy a whole new machine and forget about replacing my core duo 2 iMac logic board. Thanks in advance !