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Battery electric vehicle (BEVs) have been introduced to consumers as an alternat

ID: 3013611 • Letter: B

Question

Battery electric vehicle (BEVs) have been introduced to consumers as an alternative way to reduce the environmental effects caused by use of internal -combustion engine (ICE)vehicle. A comparison of both vehicle types can help determine whether the use of BEVs would be beneficial in the future. where calculation is required, show your work. Assume that the fuel efficiency of the ICE vehicle b 25 miles per gallon (mpg) and that gasoline costs $3.75 per gallon (gal) Calculate the cost of gasoline per mile. The charger supplies energy to the BEV battery at an average rate of 4.0 kilowatts (kW) and fully charges the BEV battery in 7.0 hours. The car will run for 100 miles on a full charge the coat of electricity is $0.11 per kismet - hour (kWh). Calculate the cost of the electricity to fully charge the battery. Assume that the battery is not charged to begin with. Calculate the cost of electricity per mile to drive the BEV.

Explanation / Answer

Q1)

a) Cost of 1 gallon of gasoline = $3.75

Distance travelled with 1 gallon of gasoline = 25 miles

Cost of gasoline per mile = $3.75/25 = 0.15$ per mile

b)

Cost of electricity to full charge the batter = Electricity required in Kwh * Cost of electricity in KwH

=> 4.0 kW * 7.0 hours * $0.11/Kwh

=> 28 * 0.11$

=> 3.08$

b) Cost of electricity per mile = Total cost/Distance Travelled = $3.08/100 = 3.08 * 10^(-2) dollars

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