Like the $50 DIY immersion heater, the most complicated step here will be providing power to the PID controller and output. We will use both ends of the air conditioner extension cord separately: the male end will provide power to the PID and heater, and the female end will be our output socket.
Main power cord and output socket: Use scissors to cut six inches of extension cord from the female end (output socket). You should be left with 18 inches of wire on the male end (the main power cord). For each end, carefully cut along the cord to separate the three wires: the two power lines and the ground. Now, strip the three wires on both ends by carefully squeezing the scissors at different angles on the cord until the insulator is detached, less than ½ inch should be bare.
PID power cord: In order to pull out power for the PID controller we will cut our double-stranded wire in half (the other half will be used for the relay control cord). Now split the wire in half by a half inch. Strip the ends to expose the copper wire. Choose ring terminals that will fit on the screws on the back of the PID controller then use the crimper to attach the ring terminals to the ends of the wire. Separate and strip the wires on the other end of the cord just as before--- we later crimp this end and attach it to the main power cord.
Power relay wires: Cut the 12 gauge wire into three wires of equal length. Strip both ends of each wire so ½ inch of copper is exposed.
Relay control cord: We are almost done stripping and crimping, but we first need to make a wire to allow the PID controller to activate the relay. Take the remaining length of double stranded cord, pull apart the wires at the ends, and strip them so that ¼ to ½ inch of copper is bare. Choose spade electrodes that fit on the connectors at the back of the PID controller and attach four of those spade electrodes to the four wire ends.
From here on everything is easy peasy, screwdriver only work. Connect one end of the relay control cord to the SSR terminals 3 and 4 by screwing down the spade connectors. Connect the two ring terminals attached to power relay wires to SSR terminals 1 and 2 by removing the screws on the terminals, insert the ring terminals and tighten the screws again.
Finally, we must connect the SSR to the heat sink. The SSR is rated to 25A only if connected to a heatsink--otherwise the rating drops to around 7A, and decreases further at higher temperatures.
Now connect the two ring terminals on the PID power cord to PID controller connectors 1 and 2. Again, to do this: unscrew the connector, insert the ring terminal, and putthe screw back in.
Attach the free end of the SSR control cord to PID terminals 6 and 7, loosen the screws, insert the spade terminal, and tighten the screw again. The wire from SSR terminal 3 should go to PID terminal 6, and the wire from SSR terminal 4 to PID terminal 7.
Finally, attach the Pt100 wires to PID terminals 8, 9, and 10. If the Pt-100 has three wires, connect the red, blue, and yellow to terminals 8, 9, and 10 respectively. If your Pt100 has only two wires, connect the red and blue to 8 and 9, and then connect 9 and 10 together with a short wire.
One thing we noticed is that the Pt100 probe gives some wonky results if the back end gets even a little wet, we wrapped it up in duct tape and electrical tape to avert this. Perhaps a better idea is to put the entire probe inside a finger of a latex glove, as we did in the DIY cheese vat.
You should also update your PID settings to save time heating up your water bath.