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Transcript of Conversion Problems
Dimensional Analysis is a way to analyze and solve problems using the units, or dimensions, of the measurements. The best way to explain this problem-solving technique is to use it to solve an everyday situations. Dimensional analysis provids you with an alternative approach to problem solving.
Converting Between Units
Converting Complex Units
Many common measurements are expresses as ratio of two units. for example, the results of international car races often give average lap speeds in kilometers per hour. you measure the densities of solids and liquids in grams per cubic centimeter. you measure the gas mileage in a car in miles per gallon of gasoline. if you use dimensional analysis, converting these complex units is just as easy as converting single units. it will just take multiple steps to arrive at an answer.
A Conversion Factor is a ratio of equivalent measurement.
Example: 1m/1m = 100cm/1m= 1
1m/100cm = 100cm/100cm= 1
When a measurement is multiplied by a conversion factor, the numerical value is generally changed, but the actual size of the quantity measured remains the same.
In chemistry, as in many other subjects, you often need to express a measurement in a unit different from the one given or measured initially. Problems in which a measurement with one unit is converted to an equivalent measurement with another unit are easily solved using dimensional analysis.
Suppose that a laboratory experiment requires 7.5dg of magnesium metal, and 100 students will do the experiment. How many grams of magnesium should your teacher have on hand? multiplying 100 students by 7.5dg/ student gives you 750dg. But then you must convert dg to grams.
Many complex tasks in your everyday life are best handled by breaking them down into manageable parts. For example, if you where cleaning a car, you might first vacuum the inside, then wash the exterior, the dry the exterior, and finally put on fresh coat of wax. similarly, many complex word problems are more easily solved by breaking the solution down into steps.
when converting between units, it is often necessary to use more than one conversion factor.
By: Jasmine Osman & Ghada Safi