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Using Conversion Factors in Unit Analysis (Dimensional Analysis) Problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value. Doing Problems. Read problem completely Determine the measured qty. in the problem and the units
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Using Conversion Factors in Unit Analysis(Dimensional Analysis)Problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value
Doing Problems • Read problem completely • Determine the measured qty. in the problem and the units • Determine units being requested • Determine conversion factor that will allow you to change to the new unit
We will look at converting:1. English units 2. English units to Metric Units3. Metric units
Converting from English to English, • 75 cookies is equivalent to how many dozen cookies?
Converting English Units to Metric Units • How many centimeters are in 6.00 inches?
Steps: • Given quantity w/its unit • Set up conversion factor • Place given unit as the denominator of the conversion factor • Place desired unit as the numerator • Place a “1” in front of the large unit • Place a 10 in front of the smaller unit • Repeat b-d until reaching the final answer • Cancel Units – only the desired unit should be left • Solve the problem An aspirin tablet contains 325 mg of active ingredient. How much is this in cg? = 32.5cg of active ingredient
Convert 50.0 mL to liters? 50.0mL 1 cL 1 dL 1 L = 50 1 10 mL 10 cL 10 dL 1000 = 0.0500L