New CPU for my laptop

Hey first post on the site. Im looking for a good CPU to put into my HP g60 notebook. Mainly to play games on Mainly World of warcraft i am currently only getting like 20 FPS with everything on low. and am wondering if all Desktop CPU's are compatible with it or what i need to look for. have a nice fan on the way for it to comensate with any extra heat Intel Core i7-870 Lynnfield is the CPU i was looking at buy i have no idea how to tell if it's compatible. Thanks

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