Table of contents

1. Matter and Measurements4h 31m
2. Atoms and the Periodic Table5h 23m
3. Ionic Compounds2h 18m
4. Molecular Compounds2h 18m
5. Classification & Balancing of Chemical Reactions3h 17m
6. Chemical Reactions & Quantities2h 27m
7. Energy, Rate and Equilibrium3h 46m
8. Gases, Liquids and Solids3h 25m
9. Solutions4h 10m
10. Acids and Bases3h 29m
11. Nuclear Chemistry56m
BONUS: Lab Techniques and Procedures1h 38m
BONUS: Mathematical Operations and Functions47m
12. Introduction to Organic Chemistry1h 34m
13. Alkenes, Alkynes, and Aromatic Compounds2h 12m
14. Compounds with Oxygen or Sulfur1h 6m
15. Aldehydes and Ketones1h 1m
16. Carboxylic Acids and Their Derivatives1h 11m
17. Amines39m
18. Amino Acids and Proteins1h 51m
19. Enzymes1h 37m
20. Carbohydrates1h 41m
21. The Generation of Biochemical Energy2h 8m
22. Carbohydrate Metabolism2h 22m
23. Lipids2h 26m
24. Lipid Metabolism1h 45m
25. Protein and Amino Acid Metabolism1h 37m
26. Nucleic Acids and Protein Synthesis2h 54m

1. Matter and Measurements

Conversion Factors (Simplified)

GOB Chemistry

1. Matter and Measurements

Conversion Factors (Simplified)

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0:37 minutes

Problem 43

Textbook Question

Why can two conversion factors be written for an equality such as 1 m = 100 cm?

Verified step by step guidance

Understand the concept of an equality: An equality is a statement that shows two quantities are equivalent, such as 1 meter (m) = 100 centimeters (cm). This means that 1 meter contains the same length as 100 centimeters.

Recognize the purpose of conversion factors: Conversion factors are ratios derived from equalities that allow us to convert between units. They are written as fractions where the numerator and denominator represent equivalent quantities in different units.

Write the first conversion factor: From the equality 1 m = 100 cm, we can write the conversion factor as \( \frac{1 \text{ m}}{100 \text{ cm}} \). This factor is used to convert centimeters to meters.

Write the second conversion factor: The equality can also be expressed in reverse, \( \frac{100 \text{ cm}}{1 \text{ m}} \). This factor is used to convert meters to centimeters.

Understand why two factors are possible: The equality represents a relationship that works in both directions. Depending on whether you are converting from meters to centimeters or centimeters to meters, you use the appropriate conversion factor.

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Key Concepts

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

Conversion Factor

A conversion factor is a numerical multiplier used to convert a quantity from one unit to another. It is derived from an equality between two different units, allowing for the expression of the same quantity in different terms. For example, the equality 1 m = 100 cm can be expressed as two conversion factors: 100 cm/1 m and 1 m/100 cm.

Unit Equality

Unit equality refers to the relationship between two different units that measure the same quantity. In the case of 1 m = 100 cm, this equality indicates that one meter is equivalent to one hundred centimeters. Understanding unit equality is essential for creating accurate conversion factors and ensuring that measurements are consistent across different unit systems.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert between units by utilizing conversion factors. It involves multiplying a quantity by one or more conversion factors to change its unit while maintaining its value. This method is crucial for solving problems in physics and chemistry, where different units are often used, ensuring that calculations yield correct and meaningful results.

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Textbook Question

At Sandra's clinic, the medications in a. to d. are used. Write the equality and two conversion factors, and identify the numbers as exact or give the number of significant figures for each:

b. The Daily Value (DV) for selenium is 70. mcg.

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Open Question

A patient has approximately 83 mL of blood pumping by their heart at each beat. By assuming they have a pulse of 75 beats per minute it is calculated that the patient pumps 8.964 x 10⁶ mL in one day. Identify the given amount and all conversion factors.

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Write the equality and two conversion factors for each of the following pairs of units:

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Textbook Question

Write the equality and two conversion factors for each of the following pairs of units:

a. centimeters and inches