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To learn how dimensional analysis can be used to solve problems

Learn how to solve problems using dimensional analysis, convert temperature scales, and define density. Discover tools for systematic problem-solving and unit conversion techniques. Practice and enhance your problem-solving skills today!

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To learn how dimensional analysis can be used to solve problems

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  1. Objectives • To learn how dimensional analysis can be used to solve problems • To learn the three temperature scales • To learn to convert from one temperature scale to another • To practice using problem solving techniques • To define density and its units

  2. A. Tools for Problem Solving • Be systematic • Ask yourself these questions • Where do we want to go? • What do we know? • How do we get there? • Does it make sense?

  3. A. Tools for Problem Solving • Converting Units of Measurement • We can convert from one system of units to another by a method called dimensional analysis using conversion factors. • Unit1 conversion factor = Unit2

  4. A. Tools for Problem Solving • Converting Units of Measurement • Conversion factors are built from an equivalence statement which shows the relationship between the units in different systems. • Conversion factors are ratios of the two parts of the equivalence statement that relate the two units.

  5. A. Tools for Problem Solving • Converting Units of Measure 2.85 cm = ? in.2.85 cm conversion factor = ? in. Equivalence statement 2.54 cm = 1 in.Possible conversion factors Does this answer make sense?

  6. A. Tools for Problem Solving • Tools for Converting from One Unit to Another Step 1 Find an equivalence statement that relates the 2 units.Step 2 Choose the conversion factor by looking at the direction of the required change (cancel the unwanted units).Step 3 Multiply the original quantity by the conversion factor. Step 4 Make sure you have the correct number of significant figures.

  7. B. Temperature Conversions • There are three commonly used temperature scales, Fahrenheit, Celsius and Kelvin.

  8. B. Temperature Conversions • Note that • The temperature unit is the same size. • The zero points are different. • To convert from Celsius to Kelvin we need to adjust for the difference in zero points. • Converting Between the Kelvin and Celsius Scales

  9. B. Temperature Conversions 70. oC = ? K TC + 273 = TK • Converting Between the Kelvin and Celsius Scales 70. + 273 = 343 K

  10. B. Temperature Conversions • Note • Converting Between the Fahrenheit and Celsius Scales • The different size units • The different zero points • To convert between Fahrenheit and Celsius we need to make 2 adjustments.

  11. C. Density • Density is the amount of matter present in a given volume of substance.

  12. C. Density

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