Ch.1 - Introduction: Matter, Energy, and Measurement

Problem 55c

Chapter 1, Problem 55c

What are the conversion factors needed to convert the following? c. km to ft

Verified step by step guidance

Step 1: Identify the conversion factors needed. To convert kilometers (km) to feet (ft), you need to know the conversion from kilometers to meters and from meters to feet.

Step 2: Use the conversion factor for kilometers to meters. 1 kilometer is equal to 1,000 meters.

Step 3: Use the conversion factor for meters to feet. 1 meter is approximately equal to 3.28084 feet.

Step 4: Multiply the number of kilometers by the conversion factor to convert to meters.

Step 5: Multiply the result from Step 4 by the conversion factor to convert from meters to feet.

Verified Solution

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. This involves using conversion factors, which are ratios that express how many of one unit are equivalent to another. For example, to convert kilometers to feet, one must know the relationship between these two units, specifically that 1 kilometer is equal to approximately 3,280.84 feet.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors. It ensures that units cancel appropriately, leading to the desired unit in the final answer. This method is particularly useful in chemistry and physics, as it helps maintain consistency in calculations and verifies that the final units are correct.

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Related Practice

Textbook Question

Carry out the following operations and express the answers in exponential notation with the appropriate number of significant figures.

a. 2.791×10⁴+ 8.76×10³

b. 4.67×10² − 5.4437×10⁴

c. (2.481×10⁻²+ 7.33×10⁻⁴) × (1.924×10⁻²+ 6.70)

d. (1.3×10⁻⁴ − 3.746×10⁻²)/(1.3×10² − 3.746×10⁴)

Textbook Question

Carry out the following operations and express the answers in exponential notation with the appropriate number of significant figures.

a. 2.791×10⁴ + 8.76×10³

b. 4.67×10²− 5.4437×10⁴

c. (2.481×10⁻² + 7.33×10⁻⁴) × (1.924×10⁻²+ 6.70)

d. (1.3×10⁻⁴− 3.746×10⁻²)/(1.3×10²− 3.746×10⁴)

Textbook Question

You have a graduated cylinder that contains a liquid (see photograph). Write the volume of the liquid, in milliliters, using the proper number of significant figures.

Determine the appropriate conversion factors for the following: c. mi to km

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Textbook Question

Determine the appropriate conversion factors for the following: d. ft³ to L

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Textbook Question

a. A bumblebee flies with a ground speed of 15.2 m/s. Calculate its speed in km/h.

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