To build an analysis model to explore what-if scenarios when buying a new car. We will consider two types of vehicles on the market: Gasoline-powered vehicles that operate solely using gasoline. Fully electric vehicles that operate solely on battery-stored power and use no gasoline. The batteries are charged by plugging into an external power source. To lease a car we consider the amount due at signing, the number of months for the entire lease, the monthly cost, the mileage allowance in 12 months, and the excess mileage cost per mile. We also consider the price of gas for gasoline-powered vehicles and electricity for electricity-powered vehicles to drive the cars for the lease term.

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7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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To build an analysis model to explore what-if scenarios when buying a new car. We will consider two types of vehicles on the market:

Gasoline-powered vehicles that operate solely using gasoline.
Fully electric vehicles that operate solely on battery-stored power and use no gasoline. The batteries are charged by plugging into an external power source.

To lease a car we consider the amount due at signing, the number of months for the entire lease, the monthly cost, the mileage allowance in 12 months, and the excess mileage cost per mile. We also consider the price of gas for gasoline-powered vehicles and electricity for electricity-powered vehicles to drive the cars for the lease term.

Considering Carbon
Many people choose to buy an electric car, not because of cost but out of concern for the environment. This is a benefit that is difficult to fully capture, but certain things like greenhouse gas emissions can be measured.


According to the EPA, there is 8.887 kg of CO2 released with the combustion of each gallon of gasoline. This is the amount of CO2 coming out the tailpipe of a gas-powered vehicle.

This means that we can estimate the total CO2 emitted over the three-year lease of a vehicle. Assuming the vehicle consumes 1 gallon of gas for every 34 miles and that the lease allowance mileage is 12,000 miles per year, we can compute the number of gallons of gasoline needed to drive an estimated 36,000 miles and multiplying by 8.887kg/gal as follows:

36,000mi/(34 mi/gal) x 8.887 kg/gal = 1,058.82 gal x 8.887kg/gal = 9,409.76kg.

To drive 36,000 miles, the vehicle uses 1,058.82 gallons of gasoline and produces 9,409.76 kg of CO2.

This equation looks hairy, but we can deconstruct it by noticing that the quantity in brackets on the left is electricity consumption, and the quantity in brackets on the right is essentially just unit conversions to get us from kWh of electricity to kg of CO2

You can do this same calculation for any gas-powered car by plugging in the number of miles driven (M) and the fuel efficiency of the vehicle in
miles per gallon (N).
Mmiles
kg CO2
Total kg of CO2 emitted =
x 8.887
(Equation 1)
miles
N-
gallon
gallon
To figure out how much CO2 is emitted in generating the electricity to charge the battery of an electricity-powered car over a three-year lease, let's
begin by estimating the total energy for battery charging needed to drive 36,000 miles. Assuming that it takes 60kWh to fully charge the car and that
the car can drive for 238 miles per charge we estimate the total energy needed for battery charging needed to drive 36,000 miles is:
36,000 mi/(238 mi/charge) x 60 kWh/charge = 9,075.6 kWh.
According to the EPA's Power Profiler website, 998.4 pounds of CO2 are emitted per mWh on average across the United States.
Converting units, there are about .45kg per pound, resulting in the following total CO2 emission in kg to power the car:
9,075.6 kWh * [ 998.4 Ibs CO2/ MWh * 1MWH/1000Kwh * 0.45kg/lb ] = 4077.5 kg/CO2
Given all of this, we now have the capability to estimate the CO2 emission resulting from driving an electric vehicle. It boils down to plugging in the
number of miles driven (M), battery storage capacity (E), and the driving range on a charge (R) into the following equation.
Mmiles
E KWh
998.4 lbs CO2
1MWH
.45kg
= kg of CO2 (Equation 2)
%3D
miłes
R
charge
charge
MWh
1000KWH
lb
This equation looks hairy, but we can deconstruct it by noticing that the quantity in brackets on the left is electricity consumption, and the quantity in
brackets on the right is essentially just unit conversions to get us from kWh of electricity to kg of CO2.
Given Equation 2 and Equation 1 from the previous section, we can figure out the CO2 emissions from any gas-powered car and any electric car, and
that's what we will do now.
Transcribed Image Text:You can do this same calculation for any gas-powered car by plugging in the number of miles driven (M) and the fuel efficiency of the vehicle in miles per gallon (N). Mmiles kg CO2 Total kg of CO2 emitted = x 8.887 (Equation 1) miles N- gallon gallon To figure out how much CO2 is emitted in generating the electricity to charge the battery of an electricity-powered car over a three-year lease, let's begin by estimating the total energy for battery charging needed to drive 36,000 miles. Assuming that it takes 60kWh to fully charge the car and that the car can drive for 238 miles per charge we estimate the total energy needed for battery charging needed to drive 36,000 miles is: 36,000 mi/(238 mi/charge) x 60 kWh/charge = 9,075.6 kWh. According to the EPA's Power Profiler website, 998.4 pounds of CO2 are emitted per mWh on average across the United States. Converting units, there are about .45kg per pound, resulting in the following total CO2 emission in kg to power the car: 9,075.6 kWh * [ 998.4 Ibs CO2/ MWh * 1MWH/1000Kwh * 0.45kg/lb ] = 4077.5 kg/CO2 Given all of this, we now have the capability to estimate the CO2 emission resulting from driving an electric vehicle. It boils down to plugging in the number of miles driven (M), battery storage capacity (E), and the driving range on a charge (R) into the following equation. Mmiles E KWh 998.4 lbs CO2 1MWH .45kg = kg of CO2 (Equation 2) %3D miłes R charge charge MWh 1000KWH lb This equation looks hairy, but we can deconstruct it by noticing that the quantity in brackets on the left is electricity consumption, and the quantity in brackets on the right is essentially just unit conversions to get us from kWh of electricity to kg of CO2. Given Equation 2 and Equation 1 from the previous section, we can figure out the CO2 emissions from any gas-powered car and any electric car, and that's what we will do now.
You can do this same calculation for any gas-powered car by plugging in the number of miles driven (M) and the fuel efficiency of the vehicle in
miles per gallon (N).
Mmiles
kg CO2
Total kg of CO2 emitted =
x 8.887
(Equation 1)
miles
N-
gallon
gallon
To figure out how much CO2 is emitted in generating the electricity to charge the battery of an electricity-powered car over a three-year lease, let's
begin by estimating the total energy for battery charging needed to drive 36,000 miles. Assuming that it takes 60kWh to fully charge the car and that
the car can drive for 238 miles per charge we estimate the total energy needed for battery charging needed to drive 36,000 miles is:
36,000 mi/(238 mi/charge) x 60 kWh/charge = 9,075.6 kWh.
According to the EPA's Power Profiler website, 998.4 pounds of CO2 are emitted per mWh on average across the United States.
Converting units, there are about .45kg per pound, resulting in the following total CO2 emission in kg to power the car:
9,075.6 kWh * [ 998.4 Ibs CO2/ MWh * 1MWH/1000Kwh * 0.45kg/lb ] = 4077.5 kg/CO2
Given all of this, we now have the capability to estimate the CO2 emission resulting from driving an electric vehicle. It boils down to plugging in the
number of miles driven (M), battery storage capacity (E), and the driving range on a charge (R) into the following equation.
Mmiles
E KWh
998.4 lbs CO2
1MWH
.45kg
= kg of CO2 (Equation 2)
%3D
miłes
R
charge
charge
MWh
1000KWH
lb
This equation looks hairy, but we can deconstruct it by noticing that the quantity in brackets on the left is electricity consumption, and the quantity in
brackets on the right is essentially just unit conversions to get us from kWh of electricity to kg of CO2.
Given Equation 2 and Equation 1 from the previous section, we can figure out the CO2 emissions from any gas-powered car and any electric car, and
that's what we will do now.
Transcribed Image Text:You can do this same calculation for any gas-powered car by plugging in the number of miles driven (M) and the fuel efficiency of the vehicle in miles per gallon (N). Mmiles kg CO2 Total kg of CO2 emitted = x 8.887 (Equation 1) miles N- gallon gallon To figure out how much CO2 is emitted in generating the electricity to charge the battery of an electricity-powered car over a three-year lease, let's begin by estimating the total energy for battery charging needed to drive 36,000 miles. Assuming that it takes 60kWh to fully charge the car and that the car can drive for 238 miles per charge we estimate the total energy needed for battery charging needed to drive 36,000 miles is: 36,000 mi/(238 mi/charge) x 60 kWh/charge = 9,075.6 kWh. According to the EPA's Power Profiler website, 998.4 pounds of CO2 are emitted per mWh on average across the United States. Converting units, there are about .45kg per pound, resulting in the following total CO2 emission in kg to power the car: 9,075.6 kWh * [ 998.4 Ibs CO2/ MWh * 1MWH/1000Kwh * 0.45kg/lb ] = 4077.5 kg/CO2 Given all of this, we now have the capability to estimate the CO2 emission resulting from driving an electric vehicle. It boils down to plugging in the number of miles driven (M), battery storage capacity (E), and the driving range on a charge (R) into the following equation. Mmiles E KWh 998.4 lbs CO2 1MWH .45kg = kg of CO2 (Equation 2) %3D miłes R charge charge MWh 1000KWH lb This equation looks hairy, but we can deconstruct it by noticing that the quantity in brackets on the left is electricity consumption, and the quantity in brackets on the right is essentially just unit conversions to get us from kWh of electricity to kg of CO2. Given Equation 2 and Equation 1 from the previous section, we can figure out the CO2 emissions from any gas-powered car and any electric car, and that's what we will do now.
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