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== <b>Dimensional Analysis</b><br> == <br> Dimensional Analysis is a mathetmatical method which allows you to covert from one set of units to another using multiplication so that the units cancel out, leaving only the desired units. (<b>Hint:</b> When converting between unassociated units, like cm to inches or ml to cm, a conversion factor will be needed.)<br> <br> ''Procedure''<br> 1.) Write down the known or given number in parenthesis. (Be sure to include units!)<br> 2.)In another set of parenthesis write the units of the first number in the denominator of the 2nd set of parenthesis.<br> 3.)The numerator of the 2nd set of parenthesis is the desired units.(Some conversions take several steps and therefore the numerator will be the next step in the conversion; Steps 3-7 will be repeated until the desired units are obtained.)<br> 4.)The numerical values for the units in the second set of parenthesis will be the conversion factor.(i.e. There are 1000ml in 1L)Be sure the number goes with the correct units.<br> 5.)The units of the original number will cancel with those of the denominator in the set of parenthesis that follows it. (<b>Hint:</b>This is shown by making a slash mark through the units.)<br> 6.Multiply through all of the parenthesis.(Each set of parenthesis is a fraction so be sure plug them into your calculator as a fraction and multiply them all together <b>OR</b> multiply all of the numerators and then divide the product by the product of the denominators)<br> 7.) The answer will be the numerical value calculated with the units of the numerator in the final set of parenthesis.<br> <br> ''Example 1:''<br> A sample of Sulfide (S) is added to a 13.25g of Potassium (K); the reaction proceeds as follows:<br> 2K + S --> K<sub>2</sub>S<br> How many moles of K<sub>2</sub>S will be produced?<br> 1.) Write down the known/given number in parenthesis: (13.25gK)<br> 2.) In another set of parenthesis write the units of the first number in the denominator of the 2nd set of parenthesis: (13.25gK)( / g) 3.)The numerator of the 2nd set of parenthesis is the desired units. Repeat Steps 3 and 4 until the desired units are located in the numerator of the final set of parenthesis: (13.25gK)( molK/ gK)( mol K<sub>2</sub>S/ mol K) 4.)The numerical values for the units in the second set of parenthesis will be the conversion factor: (13.25gK)(1mol K/13.25g K)(1mol K<sub>2</sub>S/2mol K)
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