A coal sample yields 1.25 X 10^4 Btu/lb. How many foot-pounds of work result from
burning 1.00 ton of this coal?
To determine the number of foot-pounds of work resulting from burning 1.00 ton of coal, we need to convert the given energy unit (Btu/lb) into foot-pounds.
Here's the step-by-step calculation:
1. Convert the given coal sample yield from Btu/lb to Btu/ton.
- Since there are 2,000 lbs in one ton, multiply the given value (1.25 X 10^4 Btu/lb) by 2,000.
- (1.25 X 10^4 Btu/lb) * (2,000 lb/ton) = 2.5 X 10^7 Btu/ton
2. Convert Btu into foot-pounds.
- Since 1 Btu is equivalent to approximately 778.17 foot-pounds, multiply the converted value (2.5 X 10^7 Btu/ton) by 778.17.
- (2.5 X 10^7 Btu/ton) * (778.17 ft-lb/Btu) ≈ 1.9459 X 10^10 ft-lb/ton
Therefore, burning 1.00 ton of the given coal sample would result in approximately 1.9459 X 10^10 foot-pounds of work.