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

Dimensional Analysis

GOB Chemistry

1. Matter and Measurements

Dimensional Analysis

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1:58 minutes

Problem 99

Textbook Question

In France, grapes are 1.95 euros per kilogram. What is the cost of grapes, in dollars per pound, if the exchange rate is 1.14 dollars/euro?

Verified step by step guidance

Step 1: Convert the cost of grapes from euros per kilogram to dollars per kilogram using the exchange rate. Multiply the given cost in euros (1.95 euros/kg) by the exchange rate (1.14 dollars/euro). The formula is:

Cost = 1.95 \times 1.14

dollars/kg.

Step 2: Convert the cost from dollars per kilogram to dollars per gram. Since 1 kilogram equals 1000 grams, divide the cost in dollars per kilogram by 1000. The formula is:

Cost = \frac{Cost (dollars / kg)}{1000}

dollars/gram.

Step 3: Convert the cost from dollars per gram to dollars per pound. Since 1 pound equals 453.592 grams, multiply the cost in dollars per gram by 453.592. The formula is:

Cost = Cost (dollars / gram) \times 453.592

dollars/pound.

Step 4: Combine all the conversions into a single calculation for simplicity. The overall formula is:

Cost = 1.95 \times 1.14 \times 453.592 / 1000

dollars/pound.

Step 5: Perform the calculation step by step to find the final cost of grapes in dollars per pound. Ensure proper unit cancellation at each step to verify the correctness of the conversion.

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Key Concepts

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

Currency Conversion

Currency conversion is the process of exchanging one currency for another based on the current exchange rate. In this case, to convert the price of grapes from euros to dollars, you multiply the euro price by the exchange rate. Understanding how to apply exchange rates is crucial for accurate financial calculations in international contexts.

Weight Conversion

Weight conversion involves changing a measurement from one unit to another, such as from kilograms to pounds. Since the price of grapes is given in euros per kilogram, it is necessary to convert kilograms to pounds to find the cost per pound. Knowing the conversion factor (1 kilogram equals approximately 2.20462 pounds) is essential for this calculation.

Unit Pricing

Unit pricing refers to the cost of a product per standard unit of measurement, which allows for easy comparison between different products or quantities. In this scenario, calculating the cost of grapes per pound enables consumers to understand the price relative to their preferred measurement system. This concept is important for making informed purchasing decisions.

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