To solve this problem, let's look at the provided options carefully and check which one aligns with a plausible historical growth rate of coal production during the industrial revolution:
1. 221 trillion tons in 1774 to 649 trillion tons in 1862:
- Here we have an increase of 428 trillion tons over 88 years.
- This value seems notably high for historical records and industrial capacity during that time, thus this option is likely incorrect.
2. 16 billion tons in 1720 to 22 billion tons in 1850:
- Here the increase is 6 billion tons over 130 years.
- Even this value seems unrealistic given the overall industrial capacity and historical production records in billions of tons for that period, making this option unlikely as well.
3. 5 million tons in 1750 to 23 million tons in 1830:
- Here the increase is 18 million tons over 80 years.
- This seems more reasonable given the historical context and recorded data for coal production, thus this option could be viable.
4. 1 million tons in 1700 to 3 million tons in 1800:
- Here the increase is 2 million tons over 100 years.
- This is also a plausible rate of increase in coal production over a century.
Given historical records and typical rates of industrial growth in coal production, the third option (5 million tons in 1750 to 23 million tons in 1830) stands out as the most reasonable and aligns with documented industrial growth during the revolution.
Thus, the correct answer is:
5 million tons in 1750 to 23 million tons in 1830.
