A gas can holds 5.0 gal of gasoline. Express this quantity in cm³.

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Identify the conversion factors needed: 1 gallon = 3.78541 liters and 1 liter = 1000 cm^3.

Convert gallons to liters using the conversion factor: multiply 5.0 gallons by 3.78541 liters per gallon.

Calculate the volume in liters from the previous step.

Convert the volume from liters to cubic centimeters (cm^3) by multiplying the result by 1000 cm^3 per liter.

The final result will be the volume in cm^3.

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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 is the process of changing a measurement from one unit to another. In this case, we need to convert gallons to cubic centimeters (cm³). Understanding the conversion factors between different volume units, such as 1 gallon being equivalent to 3,785.41 cm³, is essential for accurate calculations.

Metric System

The metric system is a decimal-based system of measurement used globally, which includes units such as liters, meters, and grams. Familiarity with the metric system is crucial for scientists and engineers, as it provides a standardized way to express measurements, making conversions and comparisons easier.

Dimensional Analysis

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

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