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

Problem 57b

Chapter 1, Problem 57b

Perform the following conversions: (b) 0.0550 mi to m

Verified step by step guidance

Identify the conversion factors needed: 1 mile = 1609.34 meters.

Set up the conversion equation: 0.0550 miles * (1609.34 meters / 1 mile).

Cancel out the units of miles, leaving the units of meters.

Multiply 0.0550 by 1609.34 to convert miles to meters.

The result will give you the distance in meters.

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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 is essential in chemistry and physics to ensure that measurements are consistent and comparable. It often involves using conversion factors, which are ratios that express how many of one unit are equal to another unit.

Miles to Meters Conversion Factor

The conversion factor between miles and meters is crucial for converting distances accurately. Specifically, 1 mile is equivalent to 1609.34 meters. Understanding this relationship allows for precise conversions from miles to meters, which is necessary for calculations in scientific contexts.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors. It ensures that the units cancel appropriately, leading to the desired unit in the final answer. This method is particularly useful in chemistry for ensuring that calculations involving different units are performed correctly.

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