there may be a slight posibility that it would work, but you would not want to do that. I guess you have a cheap PSU (your pc from an OEM) and this would not even have to be very powerfull for a celly 1.8 .
Basically, you need a new PSU. These days 400w is a minimum and 480w is the norm. I like the tagan 2force. You may also want to look at modular PSUs as these allow you to only use the cables you need and so does not clutter up your PC. Tagan also do one of there, authough it is not as good power wise ans the 2force.
Both these PSUs are available from
www.scan.co.uk, which you should get free delivery to once you reach 25 posts.