# A sports utility vehicle gets 12 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 35E
Textbook Problem
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## A sports utility vehicle gets 12 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, 12 miles/gallon,

12 miles1 gallon12 milesgallon × gallon3.785 liter=3.2 miles/liter

Therefore, in miles per liter the given value is 3.2 miles/liter.

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

1 mile = 1

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