Afaik the chip will not be soldered it will be in a very simple to undo socket..see online videos.
The chip will certainly fit and work as per spec, I recommend you use the free "Slimm Drivers" utility to update your existing drivers from intel etc (they will likely be outdated) before you replace the chip for good measure/compatibility, you will get a USB type message regarding the new chip when you get to desktop.
Use some thermal paste and clean the "fluff" from the heat sink/vent by the fan assembly for best results. Don't be surprised if the T9900 actually is "better behaved" as the stepping regime etc is "more efficient" than in the P8400 I replaced recently.
Also go to "change advanced power settings" and set the "minimum processor state"... I also recommend you use the inbuilt CPU/RAM gadget the (3rd party) Intel core temp gadget.
http/win7gadgets.com/pc-system/intel_core_series.html
Go for it it will be well worth the effort..trust me.
p.s don't forget there are other chips in this series that will fit and are usually cheaper...but not quite as speedy.