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Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 98c

Perform each unit conversion. c. 1845 kg to lb

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1
Identify the conversion factor between kilograms and pounds. The conversion factor is 1 kg = 2.20462 lb.
Set up the conversion equation using the conversion factor. Multiply the given mass in kilograms by the conversion factor to convert it to pounds.
Write the equation: \( 1845 \text{ kg} \times \frac{2.20462 \text{ lb}}{1 \text{ kg}} \).
Cancel out the units of kilograms, leaving the units of pounds.
Perform the multiplication to find the mass in pounds.

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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 other sciences 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 equivalent to another.
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Conversion Factors

Kilograms to Pounds Conversion Factor

The conversion factor between kilograms and pounds is crucial for converting mass measurements. Specifically, 1 kilogram is approximately equal to 2.20462 pounds. Understanding this factor allows for accurate conversions between the metric system and the imperial system, which is commonly used in the United States.
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Common Conversion Factors

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors. It ensures that 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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