As you can see in the chart above from the EIA, there is a range of estimates of how much coal is available, each having a varying level of accuracy. Feel free to review the coal page [2] in EM SC 240N for an explanation of these, but the quantity that is most commonly used to indicate "how much is left" is estimated recoverable reserves. The estimated recoverable reserves [3] are the portion of the demonstrated reserve base that can be realistically recovered, taking into consideration restrictions (e.g., "property rights, land use conflicts, and physical and environmental restrictions"). Consider it a very good scientific estimate of how much we can mine in the foreseeable future. The demonstrated reserve base [4] also includes coal that could conceivably be mined commercially, but other issues (e.g., technological and political) make it unrealistic.
So how much coal is left?
There are many benefits to living in the United States, but having easy to understand energy units is not one of them. We use a mixture of Imperial and English units, with the system usually referred to as U.S. Customary units. Most of the rest of the world uses metric units, which are also considered SI units (Systéme international d'unités). Got all that? Good. (Here is an explanation [5] of how convoluted the non-metric units are if you are so inclined.)
Coal in the U.S. is usually measured in tons, which is a unit I'm sure you have heard of, and likely used, before. A U.S. ton is equivalent to 2,000 pounds. However, to prevent confusion with an Imperial ton, the U.S. ton should be referred to as a short ton. A long ton, on the other hand, weighs 2,240 pounds. Finally, the metric ton, which is also known as the tonne, is equivalent to 1,000 kg, or about 2204.6 lbs. To summarize:
Credit: Encyclopaedia Britannica [6] and U.S. EIA [7]
The following are some facts about the feasibility of continued coal use:
Now the bad news: coal has a lot of negative environmental and social impacts.
Probably the most important sustainability issue with coal is that it is so carbon-intensive. It emits about twice the carbon dioxide per Btu as natural gas and is responsible for more carbon dioxide emissions than any other energy source, and the energy sector is the largest source of carbon dioxide emissions worldwide. [14] There are other concerns, according to the EIA, including mercury pollution and acid rain. While coal companies are generally very careful to replant any vegetation destroyed by mining, it can irrevocably compromise the landscape.
One possible solution to this is carbon capture and sequestration (CCS) [15], which is a process that can capture CO2 and bury it (i.e., sequester it) in underground rock formations. Under ideal circumstances, up to 90% of the carbon dioxide will turn into solid rock and thus not pose a leakage threat. (This is usually what is referred to as "clean coal" technology, though it is notable that only the carbon emissions are reduced in "clean coal" plants. Mining waste and particulates and other emissions still make this a relatively "dirty" source of energy.) While promising, there is some indication [16] that CCS might not be as effective as once hoped. It is only beginning to be demonstrated on a commercial scale [17], and some plants have had major issues [18], so the jury's still out.
In short, coal is a reliable energy source and is generally a relatively cheap source of energy as long as externalities are not included. Coal does provide good-paying blue collar jobs, and the loss of coal industries can be devastating to local towns. If externalities were to be included, the price would undoubtedly increase, especially if the social cost of carbon were included. CCS provides some hope for reducing the carbon dioxide emissions of coal use, but other significant sustainability problems will persist.
Links
[1] https://www.e-education.psu.edu/emsc240/sites/www.e-education.psu.edu.emsc240/files/table14.xls
[2] https://www.e-education.psu.edu/emsc240/node/531/
[3] http://www.eia.gov/coal/reserves/
[4] https://www.eia.gov/coal/annual/pdf/table15.pdf
[5] http://www.britannica.com/science/British-Imperial-System
[6] https://www.britannica.com/science/British-Imperial-System
[7] https://www.eia.gov/tools/glossary/index.php?id=Metric%20ton
[8] https://www.stlouisfed.org/on-the-economy/2017/december/coal-declining-due-economics-regulation
[9] https://www.worldenergy.org/data/resources/resource/coal/
[10] http://www.eia.gov/energyexplained/index.cfm?page=coal_environment
[11] http://www.theatlantic.com/business/archive/2015/08/coals-externalities-medical-air-quality-financial-environmental/401075/
[12] http://www.cnn.com/2013/07/13/us/u-s-mine-disasters-fast-facts/
[13] https://en.wikipedia.org/wiki/Climate_change_mitigation#/media/File:Global_Carbon_Emissions.svg
[14] https://www.epa.gov/ghgemissions/global-greenhouse-gas-emissions-data
[15] http://web.archive.org/web/20170125065638/https://www3.epa.gov/climatechange/ccs/
[16] http://news.mit.edu/2015/carbon-dioxide-sequestration-doubts-0120
[17] http://insideenergy.org/2016/10/11/clean-coal-fact-or-fiction/
[18] https://www.theguardian.com/environment/2018/mar/02/clean-coal-america-kemper-power-plant