A Tesla car has a battery that can hold from 50 kWh to 75 kWh of stored energy. (1 kWh = 1000 W x 3600 sec = 1000 J/sec x 3600 sec = 3,600,000 J). 1) How much energy is 1 kWh compared to the energy released when burning 1 gallon of gasoline? A Tesla has a range of about 300 to 400 miles on a full battery. So let us assume that a Tesla with a 50 kWh battery can go 300 miles. Also assume that 1 kWh cost 25 cents to produce. 2) Calculate how much it costs to drive a Tesla 40 miles 3) Calculate how much gas (in gallons) you can buy with the cost of driving a Tesla 40 miles (the results will most likely be a fraction of a gallon)

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A Tesla car has a battery that can hold from 50 kWh to 75 kWh
of stored energy. (1 kWh = 1000 W x 3600 sec = 1000 J/sec x
3600 sec = 3,600,000 J).
1) How much energy is 1 kWh compared to the
released when burning 1 gallon of gasoline?
A Tesla has a range of about 300 to 400 miles on a full battery.
So let us assume that a Tesla with a 50 kWh battery can go 300
miles. Also assume that 1 kWh cost 25 cents to produce.
2) Calculate how much it costs to drive a Tesla 40 miles
3) Calculate how much gas (in gallons) you can buy with the
cost of driving a Tesla 40 miles
(the results will most likely be a fraction of a gallon)
4) Calculate the advertised “gas mileage" of a Tesla. (for
example if the cost of driving a tesla 40 miles is $2.50 and
a gallon of gas costs $5 then a Tesla can drive 40 miles on a
“half gallon of gas", and therefore gets 80 miles on "a
gallon of gas").
5) To get the "equivalent gas mileage" for a Tesla we need to
energy
determine the amount of energy used by the car to cover a
given distance and compare that to the energy in a gallon of
gas. Thus if a Tesla can cover 300 miles with 50 kWh of
energy, then the Tesla can cover 6 miles with 1 kWh of
energy. By equating the energy of 1 gal of gas (120 million
Joules) to the energy of 1 kWh, convert 6 miles per kWh
into miles per gallon. (That is another method to come up
with the advertised "gas mileage" of a Tesla).
6) The transmission of battery energy to car motion in an
electric car is fairly efficient, but the inefficiency of the
power plant energy production is ignored. The efficiency
of a power plant is about 35%. To get the true “gas mileage
equivalent" of a Tesla we must take the results calculated in
5 and multiply it by the 35 % efficiency. Compare
part
your results with a gasoline car that gets 40 miles to the
gallon.
Transcribed Image Text:A Tesla car has a battery that can hold from 50 kWh to 75 kWh of stored energy. (1 kWh = 1000 W x 3600 sec = 1000 J/sec x 3600 sec = 3,600,000 J). 1) How much energy is 1 kWh compared to the released when burning 1 gallon of gasoline? A Tesla has a range of about 300 to 400 miles on a full battery. So let us assume that a Tesla with a 50 kWh battery can go 300 miles. Also assume that 1 kWh cost 25 cents to produce. 2) Calculate how much it costs to drive a Tesla 40 miles 3) Calculate how much gas (in gallons) you can buy with the cost of driving a Tesla 40 miles (the results will most likely be a fraction of a gallon) 4) Calculate the advertised “gas mileage" of a Tesla. (for example if the cost of driving a tesla 40 miles is $2.50 and a gallon of gas costs $5 then a Tesla can drive 40 miles on a “half gallon of gas", and therefore gets 80 miles on "a gallon of gas"). 5) To get the "equivalent gas mileage" for a Tesla we need to energy determine the amount of energy used by the car to cover a given distance and compare that to the energy in a gallon of gas. Thus if a Tesla can cover 300 miles with 50 kWh of energy, then the Tesla can cover 6 miles with 1 kWh of energy. By equating the energy of 1 gal of gas (120 million Joules) to the energy of 1 kWh, convert 6 miles per kWh into miles per gallon. (That is another method to come up with the advertised "gas mileage" of a Tesla). 6) The transmission of battery energy to car motion in an electric car is fairly efficient, but the inefficiency of the power plant energy production is ignored. The efficiency of a power plant is about 35%. To get the true “gas mileage equivalent" of a Tesla we must take the results calculated in 5 and multiply it by the 35 % efficiency. Compare part your results with a gasoline car that gets 40 miles to the gallon.
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