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Single-Factor Dimensional Analysis
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WRITING CONVERSION FACTORS
Conversion factors are used when you have to convert a quantity from one unit to another. Converting from one factor to another using a conversion factor is the process of DIMENSIONAL ANALYSIS. Any equality can be written in the form of a fraction called a conversion factor. A conversion factor is easily distinguished from all other numbers because it is always a fraction that contains different units in the numerator and denominator. CONVERSION FACTORS: Numerator OR 1 kg Denominator lb.
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WORKED EXAMPLE 1 What is the mass, in grams, of a piece of lead that has a volume of cm3? SOLUTION. 1g= 1cm3, so… 19.84 cm3 x 1 g = g = 1.98 x 101 g 1 cm3
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Practice 1. Convert 4.5 weeks to minutes. Solution.
4.5 wk x 7 days x 24 hours x 60 min week day hr = min = 4.50 x 104 min
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Practice 2. Convert 30 mL to dm3 Solution.
30 mL x L x dm mL L = x 10-2 dm3
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