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Current version by mayer,

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I believe the T9600 uses the P socket and your machine an M socket. It will take a T7600. See this previous answer on a similar question: http://www.ifixit.com/Answers/View/51699/Core+Duo+CPU+upgrade+to+Core+2+Duo+CPU
Here's some info on the M socket: http://en.wikipedia.org/wiki/Socket_M
UPDATE
GeekBench scores should look like this:
MacMini 1.5 Ghz solo about 1400
Mac Mini 1.66 Ghz core duo about 2100
Mac Mini 1.83 Core 2 duo about 2350
Mac Mini 2.0 Core 2 duo about 2600
Mac Mini 2.0 2009 about 2750
the 2.26 about 3200
http://browse.geekbench.ca/mac-benchmark/

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Edit by mayer,

Text:

I believe the T9600 uses the P socket and your machine an M socket. It will take a T7600. See this previous answer on a similar question: http://www.ifixit.com/Answers/View/51699/Core+Duo+CPU+upgrade+to+Core+2+Duo+CPU
Here's some info on the M socket: http://en.wikipedia.org/wiki/Socket_M

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open

Original post by mayer,

Text:

I believe the T9600 uses the P socket and your machine an M socket. It will take a T7600. See this previous answer on a similar question: http://www.ifixit.com/Answers/View/51699/Core+Duo+CPU+upgrade+to+Core+2+Duo+CPU

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open