That's going to be difficult. You need to install the firmware from a working system running from a HD.
It would be helpful to know the exact model of machine.
This site provides more information. Best for older machines. Note, serial number is sent in the clear.
"A serial number is a unique, identifying number or group of numbers and letters assigned to an individual piece of hardware or software. It's used for various things depending on the product / brand but what is your Mac's serial number for and more importantly... what is it hiding and what can it do for you ?"
http://www.appleserialnumberinfo.com/Desktop/index.php
or
This site provides more information, but lacks security too.
"A serial number is a unique, identifying number or group of numbers and letters assigned to an individual piece of hardware or software. It's used for various things depending on the product / brand but what is your Mac's serial number for and more importantly... what is it hiding and what can it do for you ?"
http://www.appleserialnumberinfo.com/Desktop/index.php
http://www.chipmunk.nl/klantenservice/applemodel.html
( hint by K Shaffer )