On the way to a meeting in your car, you get stuck at a railroad crossing due to a coal train You are bored and the first car in line, so you start counting coal cars which look to be full. You count 125 cars for the train. a) Estimate the total energy (BTU/train) transported by this coal train? Assume an average coal car can hold 120 tons of coal and the density of the coal is 19.5 million BTU/short ton. b) How much electricity (kWh) could the coal in this train produce in a 500 MW coal pla running with a capacity factor of 85% and an efficiency of 35%? (1 kWh = 3413 Btu) Hint: this is for the single train, and you wont need all the given numbers to solve. c) How many full trains of coal are required per year to supply the Coal Plant? Hint: use given information from above. You'll want to calculate Esec for the year first. You'll then use the Esec per train that you calculated in step b.
On the way to a meeting in your car, you get stuck at a railroad crossing due to a coal train You are bored and the first car in line, so you start counting coal cars which look to be full. You count 125 cars for the train. a) Estimate the total energy (BTU/train) transported by this coal train? Assume an average coal car can hold 120 tons of coal and the density of the coal is 19.5 million BTU/short ton. b) How much electricity (kWh) could the coal in this train produce in a 500 MW coal pla running with a capacity factor of 85% and an efficiency of 35%? (1 kWh = 3413 Btu) Hint: this is for the single train, and you wont need all the given numbers to solve. c) How many full trains of coal are required per year to supply the Coal Plant? Hint: use given information from above. You'll want to calculate Esec for the year first. You'll then use the Esec per train that you calculated in step b.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:On the way to a meeting in your car, you get stuck at a railroad crossing due to a coal train
You are bored and the first car in line, so you start counting coal cars which look to be full.
You count 125 cars for the train.
a) Estimate the total energy (BTU/train) transported by this coal train? Assume an
average coal car can hold 120 tons of coal and the density of the coal is 19.5 million
BTU/short ton.
b) How much electricity (kWh) could the coal in this train produce in a 500 MW coal pla
running with a capacity factor of 85% and an efficiency of 35%? (1 kWh = 3413 Btu)
Hint: this is for the single train, and you
wont need all the given numbers to
solve.
c) How many full trains of coal are required per year to supply the Coal Plant?
Hint: use given information from above. You'll want to calculate Esec for the year first. You'll then use
the Esec per train that you calculated in step b.
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