d) Surveys of EV owners show that they charge at home 70% of the time. Let us assume that for the remaining 30% they charge at a 60 kW rated "fast-charge" station. If patterns of travel remain the same, but we swap all our gasoline vehicles for electric vehicles, what is the ratio between installation of fast charging stations to gasoline pumps retired. e) The Chicago Transit Authority has about 2700 buses that travel a total of 240,000 miles daily. A typical bus delivers about 6 miles per gallon of gasoline. For each bus that the CTA transitions to electric operation, estimate the annual reduction in CO2 emissions in kg.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Part D and E only.

a) A typical small passenger electric vehicle has a range of 200 km on
an electric charge of 33 kWh. Convert this number into J/km (Joules
per kilometer traveled).
b) A comparably sized gasoline powered vehicle to (a) is rated as 25
miles per gallon. Convert this number into J/km (Joules per kilometer
traveled).
c) If gasoline costs $10.00 per gallon, and electricity $0.30 per kWh
what is the difference in the cost of fuel per kilometer travelled between
the electric vehicle in (a) and the gasoline powered vehicle in (b)?
d) Surveys of EV owners show that they charge at home 70% of the
time. Let us assume that for the remaining 30% they charge at a 60
kW rated "fast-charge” station. If patterns of travel remain the same,
but we swap all our gasoline vehicles for electric vehicles, what is the
ratio between installation of fast charging stations to gasoline pumps
retired.
e) The Chicago Transit Authority has about 2700 buses that travel a
total of 240,000 miles daily. A typical bus delivers about 6 miles per
gallon of gasoline. For each bus that the CTA transitions to electric
operation, estimate the annual reduction in CO2 emissions in kg.
Gasoline is officially rated at an energy equivalent of 33.7 kWh per
gallon. 1 kWh = 3.6 MJ. 1 mile = 1.6 km. Carbon has an atomic
mass of 12, oxygen of 16 and hydrogen of 1. You may assume that
gasoline has a similar density to water: about 1000kg/m³
Transcribed Image Text:a) A typical small passenger electric vehicle has a range of 200 km on an electric charge of 33 kWh. Convert this number into J/km (Joules per kilometer traveled). b) A comparably sized gasoline powered vehicle to (a) is rated as 25 miles per gallon. Convert this number into J/km (Joules per kilometer traveled). c) If gasoline costs $10.00 per gallon, and electricity $0.30 per kWh what is the difference in the cost of fuel per kilometer travelled between the electric vehicle in (a) and the gasoline powered vehicle in (b)? d) Surveys of EV owners show that they charge at home 70% of the time. Let us assume that for the remaining 30% they charge at a 60 kW rated "fast-charge” station. If patterns of travel remain the same, but we swap all our gasoline vehicles for electric vehicles, what is the ratio between installation of fast charging stations to gasoline pumps retired. e) The Chicago Transit Authority has about 2700 buses that travel a total of 240,000 miles daily. A typical bus delivers about 6 miles per gallon of gasoline. For each bus that the CTA transitions to electric operation, estimate the annual reduction in CO2 emissions in kg. Gasoline is officially rated at an energy equivalent of 33.7 kWh per gallon. 1 kWh = 3.6 MJ. 1 mile = 1.6 km. Carbon has an atomic mass of 12, oxygen of 16 and hydrogen of 1. You may assume that gasoline has a similar density to water: about 1000kg/m³
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