I've been meaning to look into these coins I got in the Gobi Desert in Mongolia last year at the side of a road where a trader was selling various rocks and things that appeared to have been found in the desert. They were really black when I got them but cleaned them up once back home.
Both are 37 grms in weight and neither are magnetic.
I'm curious since I got them - regardless of fake or genuine I love them as it was a great treasure to remind us of a fantastically special place.
Hello and welcome. Sadly, as others have pointed out, your coins are not genuine.
The main giveaway for the first coin is that the two sides do not match, as is the case for some of the earlier coins in this thread. The English-language side claims to be a 1 dollar coin from Hupeh Province; the Chinese-language side claims it is a 1 tael coin from Hunan Province. Such mis-matching of dies is common among the lower-quality replicas. 37 grams is close to the proper weight a 1 tael coin would have; a dollar should weigh 7 mace 2 candareens, or about 27 grams.
The second item is not an actual circulating coin; it is a copy of a scarce pattern 1 tael coin in the name of Kwangtung Province. They were produced on speculation by European mint and none ever made it to China; any such coin offered for sale in a street market in China will definitely be fake.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis