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Learn how to apply dimensional analysis to solve chemistry problems involving units and measurements effectively. Understand the conversion factors and evaluate your answers for accuracy. Example provided for clarity.
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Chemistry 3.3 Dimensional Analysis
Dimensional Analysis • Def – a way to analyze and solve a problem that has units, measurements or dimensions. • Parts 1. Conversion Factor always equal to “1” numerator = denominator
2. Examples: 100 cm 1 meter 1 meter or 100 cm 1 foot or 12 inches 12 inches 1 foot
3 step Approach 1. Analyze – determine where you are and where you need to get to. 2. Calculate – use math skills 3. Evaluate – Does your answer make sense? -right # of sig figs -right units -reasonable -check your math
Example Your school club has sold 600 tickets to a chili-soup fundraising event, and you have volunteered to make the chili. You have a chili recipe that serves 10. The recipe calls for 2 teaspoons of chili powder. How much chili powder do you need for 600 servings? 120 teaspoons of chili powder
Measuring 120 teaspoons would be too much work. Instead of using teaspoons you decide to use cups to measure out the chili powder. How many cups would you need to add? 3 teaspoons = 1 tablespoon 16 tablespoons = 1 cup 2.5 cups