Question

Homework 5 - Transportation Energy Technology and Policy ISYE/PUBP 6701 1. Lithium-ion batteries have an energy density of about 0.25 kWh per kilogram. The efficiency of a Ford F-150 Lightning electric pickup truck is about 2 miles per kWh. With a range of 230 miles, how much does the battery pack weigh? Express your answer in both kilograms and in pounds. 2. A Boeing 747 weighs 200 metric tons and uses about 5 million MJ on an international 10-hour flight. If this energy were supplied by lithium-ion batteries with an energy density of 0.25 kWh per kilogram, how much would the batteries add to the weight of the airplane? Express your answer in metric tons. 3. Costs for a battery-electric delivery truck and a diesel-fueled delivery truck are shown in the table below. Assume that both trucks are driven 50 miles for each of 300 days per year. a. What is the Operating Cost per mile of driving each truck, including only the Energy supply cost and the Maintenance Cost? (Put answers in the table.) b. Assume that both trucks are used for 10 years and use a discount rate of 7%. What is the present value of the Total Cost of Ownership of each truck, including all costs shown in the table? (Put answers in the table.) c. The relative cost of electric trucks versus diesel trucks depends on many factors. For the set of parameters in parts a and b, the present value of the total cost of ownership is larger for the electric truck than for the diesel truck. While truck buyers may not be able to control the purchase price, they may vary in terms of their discount rate (e.g. loan rate that is available for truck purchases), and some may be able to charge their vehicles at a lower cost by using low night-time rates for electric vehicle charging. Holding all other variables constant, at what discount rate would the electric truck and diesel truck have equal total cost of ownership? d. Similarly, holding all other variables constant, at what average electricity price would the electric truck and diesel truck have equal total cost of ownership? e. If purchase of the electric truck qualified for a $7500 rebate, what would be the effective cost of carbon reductions? Express this as $ per metric ton of CO2e avoided. Purchase Energy Price ($) Use Energy Supply Cost Maintenance GHG Electric Operating Total cost Cost $/mile emissions Vehicle (kg CO2e) Charging Cost ($/mile) Station of ownership ($) Electric 90,000 Truck 1.3 kWh/mile $0.1/kWh 0.18 0.4 kg/kWh $5000 Diesel 60,000 Truck 8 miles per gallon $3.00/gallon 0.22 12 0 kg/gallon

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