# A hybrid electric vehicle (HEV) is a car with both a gasoline-powered engine and an electric motor. Some HEVs achieve mileage ratings as high as 75 miles per gallon of gas. Calculate this quantity in miles per liter and kilometers per liter.

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

Chapter
Section

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 2, Problem 36E
Textbook Problem
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## A hybrid electric vehicle (HEV) is a car with both a gasoline-powered engine and an electric motor. Some HEVs achieve mileage ratings as high as 75 miles per gallon of gas. Calculate this quantity in miles per liter and kilometers per liter.

Interpretation Introduction

Interpretation:

The given quantity in miles per liter and kilometers per liter is to be calculated.

Concept Introduction:

A unit of measurement is defined as a specific magnitude of a physical quantity, which is adopted universally to represent that quantity. It provides meaning to the magnitude of that physical quantity.

There are a number of units for a particular physical quantity, adopted in different measurement systems. These are inconvertible to each other by particular factors.

It is know that 1 gallon = 3.785 liter, hence, conversion factor for miles per gallon to miles per liter is as:

1 gallon3.785 liter

As 1 mile = 1.61 kilometers, conversion factor of miles per liter to kilometers per liter is as:

1.61 kilometers 1 mile

### Explanation of Solution

Conversion of miles per gallon to miles per liter is as follows:

1 gallon = 3.785 liter

For, 75 miles/gallon,

75 miles1 gallon75 milesgallon × gallon3.785 liter= 20 miles/liter

Therefore, in miles per liter the given value is 20 miles/liter.

Conversion of miles per liter to kilometers per liter is as follows:

1 mile = 1

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