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To learn how dimensional analysis can be used to solve problems

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. A. Tools for Problem Solving.

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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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