While heat is definitely an issue for the mining farm in Ordos, the electricity there is dirt cheap, only 4 U.S. cents per kilowatt-hour, with government subsidies. That’s about one-fifth of the average price in the United Kingdom. The only other costs for the facility are the rigs themselves and the salary of the few dozen staff that keeps them operational.
How hard are the puzzles involved in mining? Well, that depends on how much effort is being put into mining across the network. The difficulty of the mining can be adjusted, and is adjusted by the protocol every 2016 blocks, or roughly every 2 weeks. The difficulty adjusts itself with the aim of keeping the rate of block discovery constant. Thus if more computational power is employed in mining, then the difficulty will adjust upwards to make mining harder. And if computational power is taken off of the network, the opposite happens. The difficulty adjusts downward to make mining easier.