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Introduction to Chemistry for Allied Health Sciences Dimensional Analysis Kirk Hunter Chemical Technology Department Texas State Technical College Waco. Dimensional Analysis. Dimensional Analysis (Factor-Unit Method). A simple, powerful tool.

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## Dimensional Analysis

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**Introduction to Chemistryfor Allied Health**SciencesDimensional AnalysisKirk HunterChemical Technology DepartmentTexas State Technical College Waco**Dimensional Analysis(Factor-Unit Method)**• A simple, powerful tool. • Converts among measurements expressed in different units. • Develops relationships between units and expresses this relationship as a factor of both units.**Dimensional Analysis(Factor-Unit Method)**• Example: • 500 grams is equivalent to how many pounds?**Dimensional Analysis(Factor-Unit Method)**• Example: • 500 grams is equivalent to how many pounds? Step 1: Write the statement as a mathematical formula.**Dimensional Analysis(Factor-Unit Method)**• Example: • 500 grams is equivalent to how many pounds? Step 2: Write the relationship between the known and unknown units. 1 pound = 454 grams**Dimensional Analysis(Factor-Unit Method)**• Example: • 500 grams is equivalent to how many pounds? Step 3: Write the relationship as two ratios.**Dimensional Analysis(Factor-Unit Method)**• Example: • 500 grams is equivalent to how many pounds? Step 4: Select the relationship that has the unit sought on top.**Dimensional Analysis(Factor-Unit Method)**• Example: • 500 grams is equivalent to how many pounds? Step 4: Select the relationship that has the unit sought on top.**Dimensional Analysis(Factor-Unit Method)**• Example: • 500 grams is equivalent to how many pounds? Step 5: Perform the calculation.**Dimensional Analysis(Factor-Unit Method)**• Example: • 500 grams is equivalent to how many pounds? Step 6: Check the answer. Is it reasonable?**Dimensional Analysis(Factor-Unit Method)**• Example: • A can of Coca-Cola contains 12 fluid ounces (fl oz). What is the volume of the can in quarts? (Given: 1 qt = 32 fl oz)**Dimensional Analysis(Factor-Unit Method)**• Example: Solution • A can of Coca-Cola contains 12 fluid ounces (fl oz). What is the volume of the can in quarts? (Given: 1 qt = 32 fl oz)**Dimensional Analysis(Factor-Unit Method)**• Example: Solution • A can of Coca-Cola contains 12 fluid ounces (fl oz). What is the volume of the can in quarts? (Given: 1 qt = 32 fl oz) 1 quart = 32 fl oz**Dimensional Analysis(Factor-Unit Method)**• Example: Solution • A can of Coca-Cola contains 12 fluid ounces (fl oz). What is the volume of the can in quarts? (Given: 1 qt = 32 fl oz)**Dimensional Analysis(Factor-Unit Method)**• Example: Solution • A can of Coca-Cola contains 12 fluid ounces (fl oz). What is the volume of the can in quarts? (Given: 1 qt = 32 fl oz)

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