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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
All textbooksBrown 14th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblem 56c
Chapter 1, Problem 56c

(c) The Vehicle Assembly Building at the Kennedy Space Center in Florida has a volume of 3,666,500 m3. Convert this volume to liters and express the result in standard exponential notation.

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1
Identify the conversion factor between cubic meters and liters. Recall that 1 m^3 is equivalent to 1000 liters.
Multiply the given volume in cubic meters by the conversion factor to convert it to liters. This involves multiplying 3,666,500 m^3 by 1000.
Express the result from the multiplication in standard exponential notation. This involves writing the number in the form of a × 10^n, where 1 ≤ a < 10 and n is an integer.
Ensure that the number of significant figures in the final answer matches the number of significant figures in the given volume.
Review the conversion and notation to ensure accuracy and clarity.

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Key Concepts

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

Volume Conversion

Volume conversion involves changing a measurement from one unit to another, in this case from cubic meters (m³) to liters. Since 1 cubic meter is equivalent to 1,000 liters, the conversion requires multiplying the volume in cubic meters by 1,000 to obtain the volume in liters.

Standard Exponential Notation

Standard exponential notation is a way of expressing numbers as a product of a coefficient and a power of ten. This format is useful for simplifying large or small numbers, making them easier to read and compare. For example, 3,000 can be expressed as 3 x 10² in standard exponential notation.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. When performing calculations, it's important to maintain the correct number of significant figures to ensure accuracy. In the context of volume conversion, the original measurement's significant figures should be reflected in the final answer to maintain its precision.
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