Ok, the pc fan is 115volts ac. Just plug it into the wall outlet and forget it. Done deal. For the thermostat and light. You will need a old extention cord or old lamp power cord. One wire from the power cord will go directly to your light socket and the other wire will go to your thermostat. It doesnt really matter which wire you choose since you will be using the thermostat to break the continuation of power flow from + to - and it will work in either direction. You will then need to use a third wire to hook between the thermostat and the light socket. The thermostat will work like a light switch, turning the light on/off as the temperature rises and falls.
You might find your pc fan to be a bit large for the 100qt cooler, but those fans come in so many sizes, it would be really hard to say until you have tried it.
You might find your pc fan to be a bit large for the 100qt cooler, but those fans come in so many sizes, it would be really hard to say until you have tried it.