Replacing the processor on a laptop, is Core 2 Duo suitable instead of Celeron?

Question

Iron

Good afternoon!
I got a Toshiba Satellite l100-194 laptop.
I decided to upgrade it a bit, increased the memory, it's time for the processor.
Now stands

Intel Celeron M
Cores 1
Threads 1
Name Intel Celeron M
Codename Dothan
Design Socket 479 mPGA
Manufacturing process 90nm
Specification Intel Celeron M processor 1.70GHz
Family 6
Add. family 6
Model D
Add. model D
Stepping 8 Rev.
C0
MMX, SSE, SSE2 instructions
Virtualization Not supported
Parallelization Not supported
Bus frequency 99.8 MHz
Effective bus frequency 399.0 MHz
Caching
L1 data cache 32 KB
L1 instruction cache 32 KB
Joint L2 cache 1024 KB

I want to buy a used one with Ali, for example, this one . Characteristics from the site

Intel Core 2 Duo T9600 2.80GHz 6MB L2 Cache 1066MHz CPU Mobile Processor
Brand Name: Intel
Power: 35 W
Products Status: Used
L2 Cache: 6MB
Processor Type: Intel Core
Package: No
Interface Type: Socket 479
Processor Brand: Intel
Application: Laptop
64-Bit Support: Yes
Number of Cores: Dual-Core
Type: Dual-Core
Chip Process: 45 nanometers
L3 Cache Capacity: N/A
Item Condition: Used
Main Frequency: 2.8G
CPU Frequency: 2.8 GHz
Model Number: T9600
Socket Type : Other
warranty: 1 year

Actually, the question is: will it fit or not? is it possible to predict in advance?
Or is it possible to find something faster for the same configuration?

Answer 1

Core 2 Duo is 1.5 times hotter than Celeron, can damage the cooling system and motherboard. Must fit in 25 W

Answer 2

i bought my laptop with 2gb oz and celeron, i took i5 and oz from the old laptop: 2 sticks of 4gb each - and I didn’t ask anyone, just untwisted and installed - the laptop is already 5 years old but it plows with a bang

Answer 3

Tried to crank out a similar circuit on an old laptop. There was a single-core Athlon with a TDP of 15W, and I installed a dual-core Turion with a TDP of 35W. The system started up, but after a few minutes it turned off. First of all, I thought about overheating, but as it turned out - yes and no. The cooling system itself copes and keeps the temperature of the processor at its standard values, but apparently, its nominal temperature is higher than the nominal temperature of the native processor and the system turned off when a certain threshold was exceeded, which I could not change. Perhaps there are solutions, but there are too many time costs, it would have turned out more expensive than this machine itself is worth.