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Chapter 3 . Problem Solving in Chemistry. 3 Methods of Solving Problems. K h da b d c m Factor Labeling Formula. Metric Conversions. M- - K h da b d c m - - µ - - n Show original number Use arrows to show movement of decimal Rewrite final answer. Unit Conversions.
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Chapter 3 Problem Solving in Chemistry
3 Methods of Solving Problems • K h da b d c m • Factor Labeling • Formula
Metric Conversions • M- - K h da b d c m - - µ - - n • Show original number • Use arrows to show movement of decimal • Rewrite final answer
Unit Conversions • Any number divided by itself is equal to 1 • 6/6 = 1 • 6 meters/6 meters = 1 • Any number can be multiplied by one without changing its value • 5 x (6/6) = 5 • 5 x (6 meters/6 meters) = 5
Converting Units Through Dimensional Analysis • Equal units divided by one another are equal to 1 • 1m/100 cm = 1 ? • 100 cm/1m = 1 ? • 50 cm x (1m/100cm) = 0.5 m • 50 m x (100cm/1m) = 5000 cm
Factor Labeling • Start with known value • Place known units in denominator • Place answer units in numerator • Fill in equality • Cancel units • Write answer from calculator • Round answer to correct sig figs • Circle answer with units
Practice Problems • 12.5 eggs = ? Dozen • 13.69 m = ? cm • 13.69 km = ? cm • 1.25 x 103 ft = ? yd
Multiple Step Factor Labeling • 5.2 x103 yd = ? In • 45 mph = ? ft/min • 3.1 g/mL = ? Kg/L
Word Problems • Show basic equation • Rearrange to create WORKING EQUATION • Plug in numbers • Cancel units • Show calculator answer • Round to correct sig figs • Circle answer with units
Sample Word Problem • What is the mass of an object if it has a density of 5.63 g/mL and a volume of 32.1 cm3?