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

Brown - Chemistry: The Central Science 14th Edition

Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Not the one you use?Change textbook

Brown 14th Edition

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

Problem 73a

Chapter 1, Problem 73a

The distance from Earth to the Moon is approximately 240,000 mi. (a) What is this distance in meters?

Verified step by step guidance

insert step 1> Start by identifying the conversion factor between miles and meters. You know that 1 mile is equal to 1,609.34 meters.

insert step 2> Set up the conversion by multiplying the distance in miles by the conversion factor to convert it to meters.

insert step 3> Write the equation: \( \text{Distance in meters} = 240,000 \text{ mi} \times 1,609.34 \text{ m/mi} \).

insert step 4> Perform the multiplication to find the distance in meters.

insert step 5> Ensure that your final answer is in the correct units, which should be 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. In this case, we need to convert miles to meters. Understanding the conversion factors, such as 1 mile being equal to 1,609.34 meters, is essential for accurately performing this calculation.

Metric System

The metric system is an internationally recognized decimal-based system of measurement. It includes units such as meters for length, grams for mass, and liters for volume. Familiarity with the metric system is crucial for scientific calculations and ensures consistency in measurements across different fields.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert one set of units to another by multiplying by conversion factors. This method helps ensure that the units cancel appropriately, leading to the correct final unit. It is a fundamental skill in chemistry and physics for solving problems involving different measurement systems.

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Related Practice

Textbook Question

The distance from Earth to the Moon is approximately 240,000 mi. (c) The speed of light is 3.00 ⨉ 10⁸ m/s. How long does it take for light to travel from Earth to the Moon and back again?

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Textbook Question

Give the derived SI units for each of the following quantities in base SI units: (a) acceleration = distance/time² (b) force = mass × acceleration (c) work = force × distance (d) pressure = force/area

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Textbook Question

The distance from Earth to the Moon is approximately 240,000 mi. (d) Earth travels around the Sun at an average speed of 29.783 km/s. Convert this speed to miles per hour.

Which of the following would you characterize as pure or nearly pure substance? (a) stomach acid; (b) dry ice; (c) ice-cream; (d) stainless steel; (e) petroleum; (f) distilled water; (g) carbon monoxide gas; (h) compressed air in balloon.

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Textbook Question

Give the derived SI units for each of the following quantities in base SI units: (g) energy = mass × (velocity)²

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Textbook Question

Give the derived SI units for each of the following quantities in base SI units: (e) power = work/time

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