Pentium3 to Celeron

I bought a computer that has a Pentium III processor in it. (http://www.cpu-world.com/sspec/SL/SL43H.html)

I have a Celeron processor (http://www.cpu-world.com/sspec/SL/SL5VQ.html)
that I’d like to replace the Pentium III with.
The Celeron fits in the slot but I’m afraid to turn on the computer to see it it works.
I can’t find any info on the computer itself. This is what it tells me.

2 sdram 64mb pci100mhz
1 hd 40gb eide
1 proc pIII 850mhz (flip)-1
1 cdrom 50x putty
1 motherboard 694via soyo-f
1 floppy drive 1.44mb cpu-p
1 speakers 6.5 watt

SO # 1170342
Serial # 1003271000001
PrO # 3027222
Lot # 1450