In high school I tried building a PC into a refrigerator, and the results weren't pretty. The fridge could not keep up with the heat being generated by the CPU and over time it got too hot and shut down. The electric bill was also quite expensive, keeping a fridge running full blast 24/7.
Maybe hacking up the fridge to have the Freon running right over top of the CPU, but I'd rather take my chances tearing apart a Chromebook than tearing apart a fridge.
You cannot put heat generating devices into refrigerators. The thermal load they are designed to handle is quite small. They cannot handle a continuous internal heat source.