I want to upgrade the processor on my Dell Inspiron 1545 laptop.

It now has a Dual Core T4200 2.00GHZ processor. I'm thinking of upgrading it to a Core 2 Duo T9800 2.93GHZ processor. However, I've read that it's important to ensure that the processor has the correct socket number. The socket number for the T9800 processor says Socket P, PGA478. Would this be the correct socket number for my laptop?