A large, coal-fired power plant produces 64 million kWh of electricity each day.
Assume the following:
10,000 BTUs are required to produce 1 kWh of electrictiy.
1 pound of coal produces 5,000 BTUs of heat.
Each coal car can hold 100 tons
1 ton is 2000 pounds.

i. How much heat in BTUs is needed to produce the power each day?
ii. How many coal cards will be needded to operate the power plant for the day?
iii. How many trains will be nedded to power the plant for a day if the train pulls 80 cars?

i. 6.4 * 10^10 BTU
64,000,000kWh 10,000 BTU
1kWH
ii. 640 cars
iii. 8 trains

Question

A large, coal-fired power plant produces 64 million kWh of electricity each day. 
Assume the following:
10,000 BTUs are required to produce 1 kWh of electrictiy.
1 pound of coal produces 5,000 BTUs of heat.
Each coal car can hold 100 tons
1 ton is 2000 pounds.

i. How much heat in BTUs is needed to produce the power each day?
ii. How many coal cards will be needded to operate the power plant for the day?
iii. How many trains will be nedded to power the plant for a day if the train pulls 80 cars?


i. 6.4 * 10^10 BTU
64,000,000kWh 10,000 BTU
1kWH
ii. 640 cars
iii. 8 trains

anonymous · Answer

I got the answers myself, but using different ways other than dimensional analysis. If someone could show the steps and fraction setups, that would be helpful.