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Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 56d

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

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1
Start by identifying the relationship between cubic feet and liters.
Recall that 1 cubic foot (ft^3) is equivalent to 28.3168 liters (L).
Use this relationship to set up the conversion factor: 1 ft^3 = 28.3168 L.
To convert from ft^3 to L, multiply the volume in ft^3 by the conversion factor (28.3168 L/ft^3).
This conversion factor allows you to convert any given volume in cubic feet to liters by multiplying the volume in ft^3 by 28.3168.

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Key Concepts

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

Volume Units

Volume is a measure of the space occupied by a substance, commonly expressed in units such as cubic feet (ft³) and liters (L). Understanding the relationship between different volume units is essential for conversions, as it allows for accurate measurement and comparison of quantities in various contexts.
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Conversion Factors

A conversion factor is a numerical multiplier used to convert a quantity from one unit to another. For example, to convert cubic feet to liters, one must know the equivalent volume of one cubic foot in liters, which is approximately 28.3168 L. Using conversion factors ensures that calculations maintain the correct dimensions and units.
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Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert between units by multiplying by conversion factors. This method involves canceling out units to ensure that the final result is expressed in the desired unit. It is a powerful tool in chemistry and physics for ensuring that equations and calculations are dimensionally consistent.
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